# 1000: 5-(22,10,1316)

- clan: 7-(24,12,1316), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,1316) (# 8934)
- derived from supplementary of 6-(23,11,4872) (# 8945)

- clan: 7-(24,12,1316), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1316) (# 1000) : der= 5-(22,10,1316) and res= 5-(22,11,2632) - the given design is the derived.
- design 6-(23,11,1316) (# 8934) with respect to smaller t
- derived from 6-(24,12,3948) (# 8935)
- derived from supplementary of 6-(24,12,14616) (# 8944)
- supplementary design of 6-(23,11,4872) (# 8945) with respect to smaller t

- clan: 7-(24,12,1316), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3948) (# 1001)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3948) (# 8935) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,6768) (# 8940) : der= 5-(23,11,3948) and res= 5-(23,12,6768) - the given design is the residual.
- supplementary design of 6-(24,12,14616) (# 8944) with respect to smaller t

- clan: 7-(24,12,1386), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,1386) (# 8950)
- derived from supplementary of 6-(23,11,4802) (# 8961)

- clan: 7-(24,12,1386), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1386) (# 1003) : der= 5-(22,10,1386) and res= 5-(22,11,2772) - the given design is the derived.
- design 6-(23,11,1386) (# 8950) with respect to smaller t
- derived from 6-(24,12,4158) (# 8951)
- derived from supplementary of 6-(24,12,14406) (# 8960)
- supplementary design of 6-(23,11,4802) (# 8961) with respect to smaller t

- clan: 7-(24,12,1386), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,4158) (# 1004)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,4158) (# 8951) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,7128) (# 8956) : der= 5-(23,11,4158) and res= 5-(23,12,7128) - the given design is the residual.
- supplementary design of 6-(24,12,14406) (# 8960) with respect to smaller t

- clan: 7-(24,12,1512), 2 times derived
- $M_{11}\times C_2$,
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,1512) (# 9020)
- derived from supplementary of 6-(23,11,4676) (# 9031)

- clan: 7-(24,12,1512), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1512) (# 1006) : der= 5-(22,10,1512) and res= 5-(22,11,3024) - the given design is the derived.
- design 6-(23,11,1512) (# 9020) with respect to smaller t
- derived from 6-(24,12,4536) (# 9021)
- derived from supplementary of 6-(24,12,14028) (# 9030)
- supplementary design of 6-(23,11,4676) (# 9031) with respect to smaller t

- clan: 7-(24,12,1512), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,4536) (# 1007)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,4536) (# 9021) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,7776) (# 9026) : der= 5-(23,11,4536) and res= 5-(23,12,7776) - the given design is the residual.
- supplementary design of 6-(24,12,14028) (# 9030) with respect to smaller t

- clan: 7-(24,12,1540), 2 times derived
- $M_{11}\times C_2$,

- clan: 7-(24,12,1736), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,1736), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1736) (# 1010) : der= 5-(22,10,1736) and res= 5-(22,11,3472) - the given design is the derived.

- clan: 7-(24,12,1736), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,5208) (# 1011)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,1806), 2 times derived
- $PSL(2,19)++$

- clan: 7-(24,12,1806), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1806) (# 1013) : der= 5-(22,10,1806) and res= 5-(22,11,3612) - the given design is the derived.

- clan: 7-(24,12,1806), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,5418) (# 1014)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,1890), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,1890) (# 9224)
- derived from supplementary of 6-(23,11,4298) (# 9235)

- clan: 7-(24,12,1890), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1890) (# 1016) : der= 5-(22,10,1890) and res= 5-(22,11,3780) - the given design is the derived.
- design 6-(23,11,1890) (# 9224) with respect to smaller t
- derived from 6-(24,12,5670) (# 9225)
- derived from supplementary of 6-(24,12,12894) (# 9234)
- supplementary design of 6-(23,11,4298) (# 9235) with respect to smaller t

- clan: 7-(24,12,1890), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,5670) (# 1017)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,5670) (# 9225) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,9720) (# 9230) : der= 5-(23,11,5670) and res= 5-(23,12,9720) - the given design is the residual.
- supplementary design of 6-(24,12,12894) (# 9234) with respect to smaller t

- clan: 7-(24,12,1932), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,1932), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1932) (# 1019) : der= 5-(22,10,1932) and res= 5-(22,11,3864) - the given design is the derived.

- clan: 7-(24,12,1932), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,5796) (# 1020)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,1988), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,1988), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1988) (# 1022) : der= 5-(22,10,1988) and res= 5-(22,11,3976) - the given design is the derived.

- clan: 7-(24,12,1988), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,5964) (# 1023)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,2016), 2 times derived
- $M_{11}\times C_2$,
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,2016) (# 9258)
- derived from supplementary of 6-(23,11,4172) (# 9269)

- clan: 7-(24,12,2016), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2016) (# 1025) : der= 5-(22,10,2016) and res= 5-(22,11,4032) - the given design is the derived.
- design 6-(23,11,2016) (# 9258) with respect to smaller t
- derived from 6-(24,12,6048) (# 9259)
- derived from supplementary of 6-(24,12,12516) (# 9268)
- supplementary design of 6-(23,11,4172) (# 9269) with respect to smaller t

- clan: 7-(24,12,2016), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,6048) (# 1026)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,6048) (# 9259) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,10368) (# 9264) : der= 5-(23,11,6048) and res= 5-(23,12,10368) - the given design is the residual.
- supplementary design of 6-(24,12,12516) (# 9268) with respect to smaller t

- clan: 7-(24,12,2072), 2 times derived
- $M_{11}\times C_2$,
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,2072) (# 9292)
- derived from supplementary of 6-(23,11,4116) (# 9303)

- clan: 7-(24,12,2072), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2072) (# 1028) : der= 5-(22,10,2072) and res= 5-(22,11,4144) - the given design is the derived.
- design 6-(23,11,2072) (# 9292) with respect to smaller t
- derived from 6-(24,12,6216) (# 9293)
- derived from supplementary of 6-(24,12,12348) (# 9302)
- supplementary design of 6-(23,11,4116) (# 9303) with respect to smaller t

- clan: 7-(24,12,2072), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,6216) (# 1029)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,6216) (# 9293) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,10656) (# 9298) : der= 5-(23,11,6216) and res= 5-(23,12,10656) - the given design is the residual.
- supplementary design of 6-(24,12,12348) (# 9302) with respect to smaller t

- clan: 7-(24,12,2100), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,2100) (# 9308)
- derived from supplementary of 6-(23,11,4088) (# 9319)

- clan: 7-(24,12,2100), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2100) (# 1031) : der= 5-(22,10,2100) and res= 5-(22,11,4200) - the given design is the derived.
- design 6-(23,11,2100) (# 9308) with respect to smaller t
- derived from 6-(24,12,6300) (# 9309)
- derived from supplementary of 6-(24,12,12264) (# 9318)
- supplementary design of 6-(23,11,4088) (# 9319) with respect to smaller t

- clan: 7-(24,12,2100), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,6300) (# 1032)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,6300) (# 9309) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,10800) (# 9314) : der= 5-(23,11,6300) and res= 5-(23,12,10800) - the given design is the residual.
- supplementary design of 6-(24,12,12264) (# 9318) with respect to smaller t

- clan: 7-(24,12,2156), 2 times derived
- $PSL(3,4)- \cup C2$
- derived from 6-(23,11,2156) (# 9358)
- derived from supplementary of 6-(23,11,4032) (# 9369)

- clan: 7-(24,12,2156), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2156) (# 1034) : der= 5-(22,10,2156) and res= 5-(22,11,4312) - the given design is the derived.
- design 6-(23,11,2156) (# 9358) with respect to smaller t
- derived from 6-(24,12,6468) (# 9359)
- derived from supplementary of 6-(24,12,12096) (# 9368)
- supplementary design of 6-(23,11,4032) (# 9369) with respect to smaller t

- clan: 7-(24,12,2156), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,6468) (# 1035)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,6468) (# 9359) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,11088) (# 9364) : der= 5-(23,11,6468) and res= 5-(23,12,11088) - the given design is the residual.
- supplementary design of 6-(24,12,12096) (# 9368) with respect to smaller t

- clan: 7-(24,12,2352), 2 times derived
- $PSL(3,4)- \cup C2$
- derived from 6-(23,11,2352) (# 9446)
- derived from supplementary of 6-(23,11,3836) (# 9457)

- clan: 7-(24,12,2352), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2352) (# 1037) : der= 5-(22,10,2352) and res= 5-(22,11,4704) - the given design is the derived.
- design 6-(23,11,2352) (# 9446) with respect to smaller t
- derived from 6-(24,12,7056) (# 9447)
- derived from supplementary of 6-(24,12,11508) (# 9456)
- supplementary design of 6-(23,11,3836) (# 9457) with respect to smaller t

- clan: 7-(24,12,2352), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,7056) (# 1038)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,7056) (# 9447) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,12096) (# 9452) : der= 5-(23,11,7056) and res= 5-(23,12,12096) - the given design is the residual.
- supplementary design of 6-(24,12,11508) (# 9456) with respect to smaller t

- clan: 7-(24,12,2436), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,2436), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2436) (# 1040) : der= 5-(22,10,2436) and res= 5-(22,11,4872) - the given design is the derived.

- clan: 7-(24,12,2436), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,7308) (# 1041)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,252), 2 times derived
- $PSL(2,19)++$

- clan: 7-(24,12,252), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,252) (# 1043) : der= 5-(22,10,252) and res= 5-(22,11,504) - the given design is the derived.

- clan: 7-(24,12,252), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,756) (# 1044)
- Tran van Trung construction (right) for 5-(23,11,756) (# 1044) : der= 5-(23,11,756) and res= 5-(23,12,1296) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,12,1296) (# 1046) : der= 5-(23,11,756) and res= 5-(23,12,1296) - the given design is the residual.

- clan: 7-(24,12,252), 1 times reduced t, 1 times residual
- complementary design of 5-(23,11,756) (# 1044)

- clan: 7-(24,12,2520), 2 times derived
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,2520) (# 9498)
- derived from supplementary of 6-(23,11,3668) (# 9509)

- clan: 7-(24,12,2520), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2520) (# 1047) : der= 5-(22,10,2520) and res= 5-(22,11,5040) - the given design is the derived.
- design 6-(23,11,2520) (# 9498) with respect to smaller t
- derived from 6-(24,12,7560) (# 9499)
- derived from supplementary of 6-(24,12,11004) (# 9508)
- supplementary design of 6-(23,11,3668) (# 9509) with respect to smaller t

- clan: 7-(24,12,2520), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,7560) (# 1048)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,7560) (# 9499) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,12960) (# 9504) : der= 5-(23,11,7560) and res= 5-(23,12,12960) - the given design is the residual.
- supplementary design of 6-(24,12,11004) (# 9508) with respect to smaller t

- clan: 7-(24,12,2562), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,2562), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2562) (# 1050) : der= 5-(22,10,2562) and res= 5-(22,11,5124) - the given design is the derived.

- clan: 7-(24,12,2562), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,7686) (# 1051)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(30,15,60), 5 times derived, 3 times residual
- $PGL(2,19)++$
- residual design of 6-(23,10,1050) (# 8769)
- derived from 6-(23,11,2730) (# 9567)
- derived from supplementary of 6-(23,11,3458) (# 9579)

- clan: 13-(30,15,60), 1 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,10,2730) (# 1053) : der= 5-(22,10,2730) and res= 5-(22,11,5460) - the given design is the derived.
- design 6-(23,11,2730) (# 9567) with respect to smaller t
- derived from 6-(24,12,8190) (# 9568)
- residual design of 6-(24,11,3780) (# 9572)
- derived from supplementary of 6-(24,12,10374) (# 9578)
- supplementary design of 6-(23,11,3458) (# 9579) with respect to smaller t

- clan: 13-(30,15,60), 2 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(23,11,8190) (# 1054)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,8190) (# 9568) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,14040) (# 9573) : der= 5-(23,11,8190) and res= 5-(23,12,14040) - the given design is the residual.
- residual design of 6-(25,12,11970) (# 9576)
- supplementary design of 6-(24,12,10374) (# 9578) with respect to smaller t
- derived from 6-(25,13,22230) (# 9591)
- residual design of supplementary of 6-(25,12,15162) (# 9593)
- derived from supplementary of 6-(25,13,28158) (# 9594)

- clan: 7-(24,12,2772), 2 times derived
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,2772) (# 9598)
- derived from supplementary of 6-(23,11,3416) (# 9608)

- clan: 7-(24,12,2772), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2772) (# 1056) : der= 5-(22,10,2772) and res= 5-(22,11,5544) - the given design is the derived.
- design 6-(23,11,2772) (# 9598) with respect to smaller t
- derived from 6-(24,12,8316) (# 9599)
- derived from supplementary of 6-(24,12,10248) (# 9607)
- supplementary design of 6-(23,11,3416) (# 9608) with respect to smaller t

- clan: 7-(24,12,2772), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,8316) (# 1057)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,8316) (# 9599) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,14256) (# 9603) : der= 5-(23,11,8316) and res= 5-(23,12,14256) - the given design is the residual.
- supplementary design of 6-(24,12,10248) (# 9607) with respect to smaller t

- clan: 7-(24,12,2898), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,2898) (# 9630)
- derived from supplementary of 6-(23,11,3290) (# 9640)

- clan: 7-(24,12,2898), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2898) (# 1059) : der= 5-(22,10,2898) and res= 5-(22,11,5796) - the given design is the derived.
- design 6-(23,11,2898) (# 9630) with respect to smaller t
- derived from 6-(24,12,8694) (# 9631)
- derived from supplementary of 6-(24,12,9870) (# 9639)
- supplementary design of 6-(23,11,3290) (# 9640) with respect to smaller t

- clan: 7-(24,12,2898), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,8694) (# 1060)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,8694) (# 9631) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,14904) (# 9635) : der= 5-(23,11,8694) and res= 5-(23,12,14904) - the given design is the residual.
- supplementary design of 6-(24,12,9870) (# 9639) with respect to smaller t

- clan: 15-(32,16,8), 6 times derived, 4 times residual
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$
- residual design of 6-(23,10,1120) (# 8773)
- derived from 6-(23,11,2912) (# 9645)
- derived from supplementary of 6-(23,11,3276) (# 9654)
- residual design of supplementary of 6-(23,10,1260) (# 13171)

- clan: 15-(32,16,8), 1 times reduced t, 5 times derived, 4 times residual
- Tran van Trung construction (right) for 5-(22,10,2912) (# 1062) : der= 5-(22,10,2912) and res= 5-(22,11,5824) - the given design is the derived.
- design 6-(23,11,2912) (# 9645) with respect to smaller t
- derived from 6-(24,12,8736) (# 9646)
- residual design of 6-(24,11,4032) (# 9648)
- derived from supplementary of 6-(24,12,9828) (# 9653)
- supplementary design of 6-(23,11,3276) (# 9654) with respect to smaller t
- residual design of supplementary of 6-(24,11,4536) (# 13176)

- clan: 15-(32,16,8), 2 times reduced t, 4 times derived, 4 times residual
- Tran van Trung construction with complementary design for 5-(23,11,8736) (# 1063)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,8736) (# 9646) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,14976) (# 9649) : der= 5-(23,11,8736) and res= 5-(23,12,14976) - the given design is the residual.
- residual design of 6-(25,12,12768) (# 9651)
- supplementary design of 6-(24,12,9828) (# 9653) with respect to smaller t
- derived from 6-(25,13,23712) (# 9663)
- residual design of supplementary of 6-(25,12,14364) (# 9665)
- derived from supplementary of 6-(25,13,26676) (# 9666)

- clan: 7-(24,12,308), 2 times derived
- $PGL(2,19)++$ 5 solutions

- clan: 7-(24,12,308), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,308) (# 1065) : der= 5-(22,10,308) and res= 5-(22,11,616) - the given design is the derived.

- clan: 7-(24,12,308), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,924) (# 1066)
- Tran van Trung construction (right) for 5-(23,11,924) (# 1066) : der= 5-(23,11,924) and res= 5-(23,12,1584) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,12,1584) (# 1068) : der= 5-(23,11,924) and res= 5-(23,12,1584) - the given design is the residual.
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,308), 1 times reduced t, 1 times residual
- complementary design of 5-(23,11,924) (# 1066)

- clan: 15-(32,16,9), 6 times derived, 4 times residual
- $P\Gamma L(2,9)\times C_2 + C_2$
- residual design of supplementary of 6-(23,10,1120) (# 8773)
- derived from supplementary of 6-(23,11,2912) (# 9645)
- derived from 6-(23,11,3276) (# 9654)
- residual design of 6-(23,10,1260) (# 13171)

- clan: 15-(32,16,9), 1 times reduced t, 5 times derived, 4 times residual
- Tran van Trung construction (right) for 5-(22,10,3276) (# 1069) : der= 5-(22,10,3276) and res= 5-(22,11,6552) - the given design is the derived.
- supplementary design of 6-(23,11,2912) (# 9645) with respect to smaller t
- derived from supplementary of 6-(24,12,8736) (# 9646)
- residual design of supplementary of 6-(24,11,4032) (# 9648)
- derived from 6-(24,12,9828) (# 9653)
- design 6-(23,11,3276) (# 9654) with respect to smaller t
- residual design of 6-(24,11,4536) (# 13176)

- clan: 15-(32,16,9), 2 times reduced t, 4 times derived, 4 times residual
- Tran van Trung construction with complementary design for 5-(23,11,9828) (# 1070)
- supplementary design of 6-(24,12,8736) (# 9646) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,16848) (# 9650) : der= 5-(23,11,9828) and res= 5-(23,12,16848) - the given design is the residual.
- residual design of supplementary of 6-(25,12,12768) (# 9651)
- design 6-(24,12,9828) (# 9653) with respect to smaller t
- derived from supplementary of 6-(25,13,23712) (# 9663)
- residual design of 6-(25,12,14364) (# 9665)
- derived from 6-(25,13,26676) (# 9666)

- clan: 7-(24,12,378), 2 times derived
- $PGL(2,19)++$ 126 solutions

- clan: 7-(24,12,378), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,378) (# 1072) : der= 5-(22,10,378) and res= 5-(22,11,756) - the given design is the derived.

- clan: 7-(24,12,378), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1134) (# 1073)

- clan: 7-(24,12,392), 2 times derived
- $PGL(2,19)++$ 425 solutions

- clan: 7-(24,12,392), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,392) (# 1075) : der= 5-(22,10,392) and res= 5-(22,11,784) - the given design is the derived.

- clan: 7-(24,12,392), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1176) (# 1076)

- clan: 7-(24,12,420), 2 times derived
- $PGL(2,19)++$ 183 solutions

- clan: 7-(24,12,420), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,420) (# 1078) : der= 5-(22,10,420) and res= 5-(22,11,840) - the given design is the derived.

- clan: 7-(24,12,420), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1260) (# 1079)

- clan: 7-(24,12,462), 2 times derived
- $PGL(2,19)++$ 48 solutions

- clan: 7-(24,12,462), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,462) (# 1081) : der= 5-(22,10,462) and res= 5-(22,11,924) - the given design is the derived.

- clan: 7-(24,12,462), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1386) (# 1082)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,518), 2 times derived
- $PGL(2,19)++$ 1535 solutions

- clan: 7-(24,12,518), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,518) (# 1084) : der= 5-(22,10,518) and res= 5-(22,11,1036) - the given design is the derived.

- clan: 7-(24,12,518), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1554) (# 1085)

- clan: 13-(30,15,12), 5 times derived, 3 times residual
- $PGL(2,19)++$

- clan: 13-(30,15,12), 1 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,10,546) (# 1087) : der= 5-(22,10,546) and res= 5-(22,11,1092) - the given design is the derived.

- clan: 13-(30,15,12), 2 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(23,11,1638) (# 1088)

- clan: 7-(24,12,560), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,560), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,560) (# 1090) : der= 5-(22,10,560) and res= 5-(22,11,1120) - the given design is the derived.

- clan: 7-(24,12,560), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1680) (# 1091)

- clan: 7-(24,12,588), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,588), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,588) (# 1093) : der= 5-(22,10,588) and res= 5-(22,11,1176) - the given design is the derived.

- clan: 7-(24,12,588), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1764) (# 1094)

- clan: 7-(24,12,602), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,602), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,602) (# 1096) : der= 5-(22,10,602) and res= 5-(22,11,1204) - the given design is the derived.

- clan: 7-(24,12,602), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1806) (# 1097)

- clan: 7-(24,12,616), 2 times derived
- $M_{11}\times C_2$, 34 solutions

created: Fri Oct 23 11:09:37 CEST 2009