t designs with small t, id ge 9400

# 9400: 5-(23,12,11448)

clan: 7-(24,12,2226), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6678) (# 9395)
design 6-(23,12,4452) (# 9403) with respect to smaller t
residual design of supplementary of 6-(24,12,11886) (# 9404)
supplementary design of 6-(23,12,7924) (# 9406) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6996) (# 9407) : der= 5-(22,11,4452) and res= 5-(22,12,6996) - the given design is the residual.

# 9401: 5-(24,12,32262)

clan: 7-(24,12,3962), 2 times reduced t
supplementary design of 6-(24,12,6678) (# 9395) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11886) (# 9397)
Tran van Trung construction (right) for 5-(23,11,11886) (# 9397) : der= 5-(23,11,11886) and res= 5-(23,12,20376) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20376) (# 9402) : der= 5-(23,11,11886) and res= 5-(23,12,20376) - the given design is the residual.
design 6-(24,12,11886) (# 9404) with respect to smaller t

# 9402: 5-(23,12,20376)

clan: 7-(24,12,3962), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6678) (# 9395)
supplementary design of 6-(23,12,4452) (# 9403) with respect to smaller t
residual design of 6-(24,12,11886) (# 9404)
design 6-(23,12,7924) (# 9406) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12452) (# 9408) : der= 5-(22,11,7924) and res= 5-(22,12,12452) - the given design is the residual.

# 9403: 6-(23,12,4452)

clan: 7-(24,12,2226), 1 times residual
residual design of 7-(24,12,2226) (# 9396)
residual design of supplementary of 7-(24,12,3962) (# 9409)

# 9404: 6-(24,12,11886)

clan: 7-(24,12,3962), 1 times reduced t
supplementary design of 7-(24,12,2226) (# 9396) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3962) (# 9405)
Tran van Trung construction (right) for 6-(23,11,3962) (# 9405) : der= 6-(23,11,3962) and res= 6-(23,12,7924) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7924) (# 9406) : der= 6-(23,11,3962) and res= 6-(23,12,7924) - the given design is the residual.
design 7-(24,12,3962) (# 9409) with respect to smaller t

# 9405: 6-(23,11,3962)

clan: 7-(24,12,3962), 1 times derived
derived from supplementary of 7-(24,12,2226) (# 9396)
derived from 7-(24,12,3962) (# 9409)

# 9406: 6-(23,12,7924)

clan: 7-(24,12,3962), 1 times residual
residual design of supplementary of 7-(24,12,2226) (# 9396)
residual design of 7-(24,12,3962) (# 9409)

# 9407: 5-(22,12,6996)

clan: 7-(24,12,2226), 2 times residual
residual design of 6-(23,12,4452) (# 9403)
residual design of supplementary of 6-(23,12,7924) (# 9406)

# 9408: 5-(22,12,12452)

clan: 7-(24,12,3962), 2 times residual
residual design of supplementary of 6-(23,12,4452) (# 9403)
residual design of 6-(23,12,7924) (# 9406)

# 9409: 7-(24,12,3962)

clan: 7-(24,12,3962)
Alltop construction for design 6-(23,11,3962) (# 9405)

# 9410: 6-(23,11,2268)

clan: 7-(24,12,2268), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,2268) (# 9414)
derived from supplementary of 7-(24,12,3920) (# 9427)

# 9411: 5-(23,11,6804)

clan: 7-(24,12,2268), 1 times reduced t, 1 times derived
design 6-(23,11,2268) (# 9410) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2268) (# 9412) : der= 5-(22,10,2268) and res= 5-(22,11,4536) - the given design is the derived.
derived from 6-(24,12,6804) (# 9413)
derived from supplementary of 6-(24,12,11760) (# 9422)
supplementary design of 6-(23,11,3920) (# 9423) with respect to smaller t

# 9412: 5-(22,10,2268)

clan: 7-(24,12,2268), 2 times derived
derived from 6-(23,11,2268) (# 9410)
derived from supplementary of 6-(23,11,3920) (# 9423)

# 9413: 6-(24,12,6804)

clan: 7-(24,12,2268), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2268) (# 9410)
design 7-(24,12,2268) (# 9414) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4536) (# 9421) : der= 6-(23,11,2268) and res= 6-(23,12,4536) - the given design is the residual.
supplementary design of 7-(24,12,3920) (# 9427) with respect to smaller t

# 9414: 7-(24,12,2268)

clan: 7-(24,12,2268)
Alltop construction for design 6-(23,11,2268) (# 9410)

# 9415: 5-(23,11,11760)

clan: 7-(24,12,3920), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2268) (# 9410) with respect to smaller t
derived from supplementary of 6-(24,12,6804) (# 9413)
Tran van Trung construction (right) for 5-(22,10,3920) (# 9416) : der= 5-(22,10,3920) and res= 5-(22,11,7840) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7840) (# 9417) : der= 5-(22,10,3920) and res= 5-(22,11,7840) - the given design is the residual.
derived from 6-(24,12,11760) (# 9422)
design 6-(23,11,3920) (# 9423) with respect to smaller t

# 9416: 5-(22,10,3920)

clan: 7-(24,12,3920), 2 times derived
derived from supplementary of 6-(23,11,2268) (# 9410)
derived from 6-(23,11,3920) (# 9423)

# 9417: 5-(22,11,7840)

clan: 7-(24,12,3920), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2268) (# 9410)
derived from supplementary of 6-(23,12,4536) (# 9421)
residual design of 6-(23,11,3920) (# 9423)
derived from 6-(23,12,7840) (# 9424)

# 9418: 5-(23,12,11664)

clan: 7-(24,12,2268), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6804) (# 9413)
design 6-(23,12,4536) (# 9421) with respect to smaller t
residual design of supplementary of 6-(24,12,11760) (# 9422)
supplementary design of 6-(23,12,7840) (# 9424) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,7128) (# 9425) : der= 5-(22,11,4536) and res= 5-(22,12,7128) - the given design is the residual.

# 9419: 5-(24,12,31920)

clan: 7-(24,12,3920), 2 times reduced t
supplementary design of 6-(24,12,6804) (# 9413) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11760) (# 9415)
Tran van Trung construction (right) for 5-(23,11,11760) (# 9415) : der= 5-(23,11,11760) and res= 5-(23,12,20160) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20160) (# 9420) : der= 5-(23,11,11760) and res= 5-(23,12,20160) - the given design is the residual.
design 6-(24,12,11760) (# 9422) with respect to smaller t

# 9420: 5-(23,12,20160)

clan: 7-(24,12,3920), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6804) (# 9413)
supplementary design of 6-(23,12,4536) (# 9421) with respect to smaller t
residual design of 6-(24,12,11760) (# 9422)
design 6-(23,12,7840) (# 9424) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12320) (# 9426) : der= 5-(22,11,7840) and res= 5-(22,12,12320) - the given design is the residual.

# 9421: 6-(23,12,4536)

clan: 7-(24,12,2268), 1 times residual
residual design of 7-(24,12,2268) (# 9414)
residual design of supplementary of 7-(24,12,3920) (# 9427)

# 9422: 6-(24,12,11760)

clan: 7-(24,12,3920), 1 times reduced t
supplementary design of 7-(24,12,2268) (# 9414) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3920) (# 9423)
Tran van Trung construction (right) for 6-(23,11,3920) (# 9423) : der= 6-(23,11,3920) and res= 6-(23,12,7840) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7840) (# 9424) : der= 6-(23,11,3920) and res= 6-(23,12,7840) - the given design is the residual.
design 7-(24,12,3920) (# 9427) with respect to smaller t

# 9423: 6-(23,11,3920)

clan: 7-(24,12,3920), 1 times derived
derived from supplementary of 7-(24,12,2268) (# 9414)
derived from 7-(24,12,3920) (# 9427)

# 9424: 6-(23,12,7840)

clan: 7-(24,12,3920), 1 times residual
residual design of supplementary of 7-(24,12,2268) (# 9414)
residual design of 7-(24,12,3920) (# 9427)

# 9425: 5-(22,12,7128)

clan: 7-(24,12,2268), 2 times residual
residual design of 6-(23,12,4536) (# 9421)
residual design of supplementary of 6-(23,12,7840) (# 9424)

# 9426: 5-(22,12,12320)

clan: 7-(24,12,3920), 2 times residual
residual design of supplementary of 6-(23,12,4536) (# 9421)
residual design of 6-(23,12,7840) (# 9424)

# 9427: 7-(24,12,3920)

clan: 7-(24,12,3920)
Alltop construction for design 6-(23,11,3920) (# 9423)

# 9428: 6-(23,11,2282)

clan: 7-(24,12,2282), 1 times derived
$ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
derived from 7-(24,12,2282) (# 9432)
derived from supplementary of 7-(24,12,3906) (# 9445)

# 9429: 5-(23,11,6846)

clan: 7-(24,12,2282), 1 times reduced t, 1 times derived
design 6-(23,11,2282) (# 9428) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2282) (# 9430) : der= 5-(22,10,2282) and res= 5-(22,11,4564) - the given design is the derived.
derived from 6-(24,12,6846) (# 9431)
derived from supplementary of 6-(24,12,11718) (# 9440)
supplementary design of 6-(23,11,3906) (# 9441) with respect to smaller t

# 9430: 5-(22,10,2282)

clan: 7-(24,12,2282), 2 times derived
derived from 6-(23,11,2282) (# 9428)
derived from supplementary of 6-(23,11,3906) (# 9441)

# 9431: 6-(24,12,6846)

clan: 7-(24,12,2282), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2282) (# 9428)
design 7-(24,12,2282) (# 9432) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4564) (# 9439) : der= 6-(23,11,2282) and res= 6-(23,12,4564) - the given design is the residual.
supplementary design of 7-(24,12,3906) (# 9445) with respect to smaller t

# 9432: 7-(24,12,2282)

clan: 7-(24,12,2282)
Alltop construction for design 6-(23,11,2282) (# 9428)

# 9433: 5-(23,11,11718)

clan: 7-(24,12,3906), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2282) (# 9428) with respect to smaller t
derived from supplementary of 6-(24,12,6846) (# 9431)
Tran van Trung construction (right) for 5-(22,10,3906) (# 9434) : der= 5-(22,10,3906) and res= 5-(22,11,7812) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7812) (# 9435) : der= 5-(22,10,3906) and res= 5-(22,11,7812) - the given design is the residual.
derived from 6-(24,12,11718) (# 9440)
design 6-(23,11,3906) (# 9441) with respect to smaller t

# 9434: 5-(22,10,3906)

clan: 7-(24,12,3906), 2 times derived
derived from supplementary of 6-(23,11,2282) (# 9428)
derived from 6-(23,11,3906) (# 9441)

# 9435: 5-(22,11,7812)

clan: 7-(24,12,3906), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2282) (# 9428)
derived from supplementary of 6-(23,12,4564) (# 9439)
residual design of 6-(23,11,3906) (# 9441)
derived from 6-(23,12,7812) (# 9442)

# 9436: 5-(23,12,11736)

clan: 7-(24,12,2282), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6846) (# 9431)
design 6-(23,12,4564) (# 9439) with respect to smaller t
residual design of supplementary of 6-(24,12,11718) (# 9440)
supplementary design of 6-(23,12,7812) (# 9442) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,7172) (# 9443) : der= 5-(22,11,4564) and res= 5-(22,12,7172) - the given design is the residual.

# 9437: 5-(24,12,31806)

clan: 7-(24,12,3906), 2 times reduced t
supplementary design of 6-(24,12,6846) (# 9431) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11718) (# 9433)
Tran van Trung construction (right) for 5-(23,11,11718) (# 9433) : der= 5-(23,11,11718) and res= 5-(23,12,20088) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20088) (# 9438) : der= 5-(23,11,11718) and res= 5-(23,12,20088) - the given design is the residual.
design 6-(24,12,11718) (# 9440) with respect to smaller t

# 9438: 5-(23,12,20088)

clan: 7-(24,12,3906), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6846) (# 9431)
supplementary design of 6-(23,12,4564) (# 9439) with respect to smaller t
residual design of 6-(24,12,11718) (# 9440)
design 6-(23,12,7812) (# 9442) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12276) (# 9444) : der= 5-(22,11,7812) and res= 5-(22,12,12276) - the given design is the residual.

# 9439: 6-(23,12,4564)

clan: 7-(24,12,2282), 1 times residual
residual design of 7-(24,12,2282) (# 9432)
residual design of supplementary of 7-(24,12,3906) (# 9445)

# 9440: 6-(24,12,11718)

clan: 7-(24,12,3906), 1 times reduced t
supplementary design of 7-(24,12,2282) (# 9432) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3906) (# 9441)
Tran van Trung construction (right) for 6-(23,11,3906) (# 9441) : der= 6-(23,11,3906) and res= 6-(23,12,7812) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7812) (# 9442) : der= 6-(23,11,3906) and res= 6-(23,12,7812) - the given design is the residual.
design 7-(24,12,3906) (# 9445) with respect to smaller t

# 9441: 6-(23,11,3906)

clan: 7-(24,12,3906), 1 times derived
derived from supplementary of 7-(24,12,2282) (# 9432)
derived from 7-(24,12,3906) (# 9445)

# 9442: 6-(23,12,7812)

clan: 7-(24,12,3906), 1 times residual
residual design of supplementary of 7-(24,12,2282) (# 9432)
residual design of 7-(24,12,3906) (# 9445)

# 9443: 5-(22,12,7172)

clan: 7-(24,12,2282), 2 times residual
residual design of 6-(23,12,4564) (# 9439)
residual design of supplementary of 6-(23,12,7812) (# 9442)

# 9444: 5-(22,12,12276)

clan: 7-(24,12,3906), 2 times residual
residual design of supplementary of 6-(23,12,4564) (# 9439)
residual design of 6-(23,12,7812) (# 9442)

# 9445: 7-(24,12,3906)

clan: 7-(24,12,3906)
Alltop construction for design 6-(23,11,3906) (# 9441)

# 9446: 6-(23,11,2352)

clan: 7-(24,12,2352), 1 times derived
$ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
derived from 7-(24,12,2352) (# 9448)
derived from supplementary of 7-(24,12,3836) (# 9461)

# 9447: 6-(24,12,7056)

clan: 7-(24,12,2352), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2352) (# 9446)
design 7-(24,12,2352) (# 9448) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4704) (# 9455) : der= 6-(23,11,2352) and res= 6-(23,12,4704) - the given design is the residual.
supplementary design of 7-(24,12,3836) (# 9461) with respect to smaller t

# 9448: 7-(24,12,2352)

clan: 7-(24,12,2352)
Alltop construction for design 6-(23,11,2352) (# 9446)

# 9449: 5-(23,11,11508)

clan: 7-(24,12,3836), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2352) (# 9446) with respect to smaller t
derived from supplementary of 6-(24,12,7056) (# 9447)
Tran van Trung construction (right) for 5-(22,10,3836) (# 9450) : der= 5-(22,10,3836) and res= 5-(22,11,7672) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7672) (# 9451) : der= 5-(22,10,3836) and res= 5-(22,11,7672) - the given design is the residual.
derived from 6-(24,12,11508) (# 9456)
design 6-(23,11,3836) (# 9457) with respect to smaller t

# 9450: 5-(22,10,3836)

clan: 7-(24,12,3836), 2 times derived
derived from supplementary of 6-(23,11,2352) (# 9446)
derived from 6-(23,11,3836) (# 9457)

# 9451: 5-(22,11,7672)

clan: 7-(24,12,3836), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2352) (# 9446)
derived from supplementary of 6-(23,12,4704) (# 9455)
residual design of 6-(23,11,3836) (# 9457)
derived from 6-(23,12,7672) (# 9458)

# 9452: 5-(23,12,12096)

clan: 7-(24,12,2352), 1 times reduced t, 1 times residual
residual design of 6-(24,12,7056) (# 9447)
design 6-(23,12,4704) (# 9455) with respect to smaller t
residual design of supplementary of 6-(24,12,11508) (# 9456)
supplementary design of 6-(23,12,7672) (# 9458) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,7392) (# 9459) : der= 5-(22,11,4704) and res= 5-(22,12,7392) - the given design is the residual.

# 9453: 5-(24,12,31236)

clan: 7-(24,12,3836), 2 times reduced t
supplementary design of 6-(24,12,7056) (# 9447) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11508) (# 9449)
Tran van Trung construction (right) for 5-(23,11,11508) (# 9449) : der= 5-(23,11,11508) and res= 5-(23,12,19728) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,19728) (# 9454) : der= 5-(23,11,11508) and res= 5-(23,12,19728) - the given design is the residual.
design 6-(24,12,11508) (# 9456) with respect to smaller t

# 9454: 5-(23,12,19728)

clan: 7-(24,12,3836), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,7056) (# 9447)
supplementary design of 6-(23,12,4704) (# 9455) with respect to smaller t
residual design of 6-(24,12,11508) (# 9456)
design 6-(23,12,7672) (# 9458) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12056) (# 9460) : der= 5-(22,11,7672) and res= 5-(22,12,12056) - the given design is the residual.

# 9455: 6-(23,12,4704)

clan: 7-(24,12,2352), 1 times residual
residual design of 7-(24,12,2352) (# 9448)
residual design of supplementary of 7-(24,12,3836) (# 9461)

# 9456: 6-(24,12,11508)

clan: 7-(24,12,3836), 1 times reduced t
supplementary design of 7-(24,12,2352) (# 9448) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3836) (# 9457)
Tran van Trung construction (right) for 6-(23,11,3836) (# 9457) : der= 6-(23,11,3836) and res= 6-(23,12,7672) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7672) (# 9458) : der= 6-(23,11,3836) and res= 6-(23,12,7672) - the given design is the residual.
design 7-(24,12,3836) (# 9461) with respect to smaller t

# 9457: 6-(23,11,3836)

clan: 7-(24,12,3836), 1 times derived
derived from supplementary of 7-(24,12,2352) (# 9448)
derived from 7-(24,12,3836) (# 9461)

# 9458: 6-(23,12,7672)

clan: 7-(24,12,3836), 1 times residual
residual design of supplementary of 7-(24,12,2352) (# 9448)
residual design of 7-(24,12,3836) (# 9461)

# 9459: 5-(22,12,7392)

clan: 7-(24,12,2352), 2 times residual
residual design of 6-(23,12,4704) (# 9455)
residual design of supplementary of 6-(23,12,7672) (# 9458)

# 9460: 5-(22,12,12056)

clan: 7-(24,12,3836), 2 times residual
residual design of supplementary of 6-(23,12,4704) (# 9455)
residual design of 6-(23,12,7672) (# 9458)

# 9461: 7-(24,12,3836)

clan: 7-(24,12,3836)
Alltop construction for design 6-(23,11,3836) (# 9457)

# 9462: 6-(23,11,2408)

clan: 7-(24,12,2408), 1 times derived
$ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x
derived from 7-(24,12,2408) (# 9466)
derived from supplementary of 7-(24,12,3780) (# 9479)
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 9463: 5-(23,11,7224)

clan: 7-(24,12,2408), 1 times reduced t, 1 times derived
design 6-(23,11,2408) (# 9462) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2408) (# 9464) : der= 5-(22,10,2408) and res= 5-(22,11,4816) - the given design is the derived.
derived from 6-(24,12,7224) (# 9465)
derived from supplementary of 6-(24,12,11340) (# 9474)
supplementary design of 6-(23,11,3780) (# 9475) with respect to smaller t

# 9464: 5-(22,10,2408)

clan: 7-(24,12,2408), 2 times derived
derived from 6-(23,11,2408) (# 9462)
derived from supplementary of 6-(23,11,3780) (# 9475)

# 9465: 6-(24,12,7224)

clan: 7-(24,12,2408), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2408) (# 9462)
design 7-(24,12,2408) (# 9466) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4816) (# 9473) : der= 6-(23,11,2408) and res= 6-(23,12,4816) - the given design is the residual.
supplementary design of 7-(24,12,3780) (# 9479) with respect to smaller t

# 9466: 7-(24,12,2408)

clan: 7-(24,12,2408)
Alltop construction for design 6-(23,11,2408) (# 9462)

# 9467: 5-(23,11,11340)

clan: 7-(24,12,3780), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2408) (# 9462) with respect to smaller t
derived from supplementary of 6-(24,12,7224) (# 9465)
Tran van Trung construction (right) for 5-(22,10,3780) (# 9468) : der= 5-(22,10,3780) and res= 5-(22,11,7560) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7560) (# 9469) : der= 5-(22,10,3780) and res= 5-(22,11,7560) - the given design is the residual.
derived from 6-(24,12,11340) (# 9474)
design 6-(23,11,3780) (# 9475) with respect to smaller t

# 9468: 5-(22,10,3780)

clan: 7-(24,12,3780), 2 times derived
derived from supplementary of 6-(23,11,2408) (# 9462)
derived from 6-(23,11,3780) (# 9475)

# 9469: 5-(22,11,7560)

clan: 7-(24,12,3780), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2408) (# 9462)
derived from supplementary of 6-(23,12,4816) (# 9473)
residual design of 6-(23,11,3780) (# 9475)
derived from 6-(23,12,7560) (# 9476)

# 9470: 5-(23,12,12384)

clan: 7-(24,12,2408), 1 times reduced t, 1 times residual
residual design of 6-(24,12,7224) (# 9465)
design 6-(23,12,4816) (# 9473) with respect to smaller t
residual design of supplementary of 6-(24,12,11340) (# 9474)
supplementary design of 6-(23,12,7560) (# 9476) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,7568) (# 9477) : der= 5-(22,11,4816) and res= 5-(22,12,7568) - the given design is the residual.

# 9471: 5-(24,12,30780)

clan: 7-(24,12,3780), 2 times reduced t
supplementary design of 6-(24,12,7224) (# 9465) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11340) (# 9467)
Tran van Trung construction (right) for 5-(23,11,11340) (# 9467) : der= 5-(23,11,11340) and res= 5-(23,12,19440) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,19440) (# 9472) : der= 5-(23,11,11340) and res= 5-(23,12,19440) - the given design is the residual.
design 6-(24,12,11340) (# 9474) with respect to smaller t

# 9472: 5-(23,12,19440)

clan: 7-(24,12,3780), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,7224) (# 9465)
supplementary design of 6-(23,12,4816) (# 9473) with respect to smaller t
residual design of 6-(24,12,11340) (# 9474)
design 6-(23,12,7560) (# 9476) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,11880) (# 9478) : der= 5-(22,11,7560) and res= 5-(22,12,11880) - the given design is the residual.

# 9473: 6-(23,12,4816)

clan: 7-(24,12,2408), 1 times residual
residual design of 7-(24,12,2408) (# 9466)
residual design of supplementary of 7-(24,12,3780) (# 9479)

# 9474: 6-(24,12,11340)

clan: 7-(24,12,3780), 1 times reduced t
supplementary design of 7-(24,12,2408) (# 9466) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3780) (# 9475)
Tran van Trung construction (right) for 6-(23,11,3780) (# 9475) : der= 6-(23,11,3780) and res= 6-(23,12,7560) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7560) (# 9476) : der= 6-(23,11,3780) and res= 6-(23,12,7560) - the given design is the residual.
design 7-(24,12,3780) (# 9479) with respect to smaller t

# 9475: 6-(23,11,3780)

clan: 7-(24,12,3780), 1 times derived
derived from supplementary of 7-(24,12,2408) (# 9466)
derived from 7-(24,12,3780) (# 9479)

# 9476: 6-(23,12,7560)

clan: 7-(24,12,3780), 1 times residual
residual design of supplementary of 7-(24,12,2408) (# 9466)
residual design of 7-(24,12,3780) (# 9479)

# 9477: 5-(22,12,7568)

clan: 7-(24,12,2408), 2 times residual
residual design of 6-(23,12,4816) (# 9473)
residual design of supplementary of 6-(23,12,7560) (# 9476)

# 9478: 5-(22,12,11880)

clan: 7-(24,12,3780), 2 times residual
residual design of supplementary of 6-(23,12,4816) (# 9473)
residual design of 6-(23,12,7560) (# 9476)

# 9479: 7-(24,12,3780)

clan: 7-(24,12,3780)
Alltop construction for design 6-(23,11,3780) (# 9475)

# 9480: 6-(23,11,2450)

clan: 7-(24,12,2450), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,2450) (# 9484)
derived from supplementary of 7-(24,12,3738) (# 9497)

# 9481: 5-(23,11,7350)

clan: 7-(24,12,2450), 1 times reduced t, 1 times derived
design 6-(23,11,2450) (# 9480) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2450) (# 9482) : der= 5-(22,10,2450) and res= 5-(22,11,4900) - the given design is the derived.
derived from 6-(24,12,7350) (# 9483)
derived from supplementary of 6-(24,12,11214) (# 9492)
supplementary design of 6-(23,11,3738) (# 9493) with respect to smaller t

# 9482: 5-(22,10,2450)

clan: 7-(24,12,2450), 2 times derived
derived from 6-(23,11,2450) (# 9480)
derived from supplementary of 6-(23,11,3738) (# 9493)

# 9483: 6-(24,12,7350)

clan: 7-(24,12,2450), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2450) (# 9480)
design 7-(24,12,2450) (# 9484) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4900) (# 9491) : der= 6-(23,11,2450) and res= 6-(23,12,4900) - the given design is the residual.
supplementary design of 7-(24,12,3738) (# 9497) with respect to smaller t

# 9484: 7-(24,12,2450)

clan: 7-(24,12,2450)
Alltop construction for design 6-(23,11,2450) (# 9480)

# 9485: 5-(23,11,11214)

clan: 7-(24,12,3738), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2450) (# 9480) with respect to smaller t
derived from supplementary of 6-(24,12,7350) (# 9483)
Tran van Trung construction (right) for 5-(22,10,3738) (# 9486) : der= 5-(22,10,3738) and res= 5-(22,11,7476) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7476) (# 9487) : der= 5-(22,10,3738) and res= 5-(22,11,7476) - the given design is the residual.
derived from 6-(24,12,11214) (# 9492)
design 6-(23,11,3738) (# 9493) with respect to smaller t

# 9486: 5-(22,10,3738)

clan: 7-(24,12,3738), 2 times derived
derived from supplementary of 6-(23,11,2450) (# 9480)
derived from 6-(23,11,3738) (# 9493)

# 9487: 5-(22,11,7476)

clan: 7-(24,12,3738), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2450) (# 9480)
derived from supplementary of 6-(23,12,4900) (# 9491)
residual design of 6-(23,11,3738) (# 9493)
derived from 6-(23,12,7476) (# 9494)

# 9488: 5-(23,12,12600)

clan: 7-(24,12,2450), 1 times reduced t, 1 times residual
residual design of 6-(24,12,7350) (# 9483)
design 6-(23,12,4900) (# 9491) with respect to smaller t
residual design of supplementary of 6-(24,12,11214) (# 9492)
supplementary design of 6-(23,12,7476) (# 9494) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,7700) (# 9495) : der= 5-(22,11,4900) and res= 5-(22,12,7700) - the given design is the residual.

# 9489: 5-(24,12,30438)

clan: 7-(24,12,3738), 2 times reduced t
supplementary design of 6-(24,12,7350) (# 9483) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11214) (# 9485)
Tran van Trung construction (right) for 5-(23,11,11214) (# 9485) : der= 5-(23,11,11214) and res= 5-(23,12,19224) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,19224) (# 9490) : der= 5-(23,11,11214) and res= 5-(23,12,19224) - the given design is the residual.
design 6-(24,12,11214) (# 9492) with respect to smaller t

# 9490: 5-(23,12,19224)

clan: 7-(24,12,3738), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,7350) (# 9483)
supplementary design of 6-(23,12,4900) (# 9491) with respect to smaller t
residual design of 6-(24,12,11214) (# 9492)
design 6-(23,12,7476) (# 9494) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,11748) (# 9496) : der= 5-(22,11,7476) and res= 5-(22,12,11748) - the given design is the residual.

# 9491: 6-(23,12,4900)

clan: 7-(24,12,2450), 1 times residual
residual design of 7-(24,12,2450) (# 9484)
residual design of supplementary of 7-(24,12,3738) (# 9497)

# 9492: 6-(24,12,11214)

clan: 7-(24,12,3738), 1 times reduced t
supplementary design of 7-(24,12,2450) (# 9484) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3738) (# 9493)
Tran van Trung construction (right) for 6-(23,11,3738) (# 9493) : der= 6-(23,11,3738) and res= 6-(23,12,7476) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7476) (# 9494) : der= 6-(23,11,3738) and res= 6-(23,12,7476) - the given design is the residual.
design 7-(24,12,3738) (# 9497) with respect to smaller t

# 9493: 6-(23,11,3738)

clan: 7-(24,12,3738), 1 times derived
derived from supplementary of 7-(24,12,2450) (# 9484)
derived from 7-(24,12,3738) (# 9497)

# 9494: 6-(23,12,7476)

clan: 7-(24,12,3738), 1 times residual
residual design of supplementary of 7-(24,12,2450) (# 9484)
residual design of 7-(24,12,3738) (# 9497)

# 9495: 5-(22,12,7700)

clan: 7-(24,12,2450), 2 times residual
residual design of 6-(23,12,4900) (# 9491)
residual design of supplementary of 6-(23,12,7476) (# 9494)

# 9496: 5-(22,12,11748)

clan: 7-(24,12,3738), 2 times residual
residual design of supplementary of 6-(23,12,4900) (# 9491)
residual design of 6-(23,12,7476) (# 9494)

# 9497: 7-(24,12,3738)

clan: 7-(24,12,3738)
Alltop construction for design 6-(23,11,3738) (# 9493)

# 9498: 6-(23,11,2520)

clan: 7-(24,12,2520), 1 times derived
$ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
derived from 7-(24,12,2520) (# 9500)
derived from supplementary of 7-(24,12,3668) (# 9513)

# 9499: 6-(24,12,7560)

clan: 7-(24,12,2520), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2520) (# 9498)
design 7-(24,12,2520) (# 9500) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,5040) (# 9507) : der= 6-(23,11,2520) and res= 6-(23,12,5040) - the given design is the residual.
supplementary design of 7-(24,12,3668) (# 9513) with respect to smaller t

created: Fri Oct 23 11:12:13 CEST 2009