t designs with small t, id ge 17400

clan: 7-(40,10,2952), 1 times reduced t
supplementary design of 7-(40,10,2504) (# 17398) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,2952) (# 17403) : der= 6-(39,9,2952) and res= 6-(39,10,22140) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,22140) (# 17404) : der= 6-(39,9,2952) and res= 6-(39,10,22140) - the given design is the residual.

# 17403: 6-(39,9,2952)

clan: 7-(40,10,2952), 1 times derived
derived from supplementary of 7-(40,10,2504) (# 17398)

# 17404: 6-(39,10,22140)

clan: 7-(40,10,2952), 1 times residual
residual design of supplementary of 7-(40,10,2504) (# 17398)

# 17405: 5-(40,10,148988)

clan: 7-(40,10,2504), 2 times reduced t
design 6-(40,10,21284) (# 17399) with respect to smaller t
supplementary design of 6-(40,10,25092) (# 17402) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,21284) (# 17406) : der= 5-(39,9,21284) and res= 5-(39,10,127704) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,127704) (# 17407) : der= 5-(39,9,21284) and res= 5-(39,10,127704) - the given design is the residual.

# 17406: 5-(39,9,21284)

clan: 7-(40,10,2504), 1 times reduced t, 1 times derived
derived from 6-(40,10,21284) (# 17399)
design 6-(39,9,2504) (# 17400) with respect to smaller t
derived from supplementary of 6-(40,10,25092) (# 17402)
supplementary design of 6-(39,9,2952) (# 17403) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,2504) (# 17411) : der= 5-(38,8,2504) and res= 5-(38,9,18780) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,18780) (# 17412) : der= 5-(38,8,2504) and res= 5-(38,9,18780) - the given design is the residual.

# 17407: 5-(39,10,127704)

clan: 7-(40,10,2504), 1 times reduced t, 1 times residual
residual design of 6-(40,10,21284) (# 17399)
design 6-(39,10,18780) (# 17401) with respect to smaller t
residual design of supplementary of 6-(40,10,25092) (# 17402)
supplementary design of 6-(39,10,22140) (# 17404) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,18780) (# 17412) : der= 5-(38,9,18780) and res= 5-(38,10,108924) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,108924) (# 17415) : der= 5-(38,9,18780) and res= 5-(38,10,108924) - the given design is the residual.

# 17408: 5-(40,10,175644)

clan: 7-(40,10,2952), 2 times reduced t
supplementary design of 6-(40,10,21284) (# 17399) with respect to smaller t
design 6-(40,10,25092) (# 17402) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,25092) (# 17409) : der= 5-(39,9,25092) and res= 5-(39,10,150552) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,150552) (# 17410) : der= 5-(39,9,25092) and res= 5-(39,10,150552) - the given design is the residual.

# 17409: 5-(39,9,25092)

clan: 7-(40,10,2952), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,21284) (# 17399)
supplementary design of 6-(39,9,2504) (# 17400) with respect to smaller t
derived from 6-(40,10,25092) (# 17402)
design 6-(39,9,2952) (# 17403) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,2952) (# 17413) : der= 5-(38,8,2952) and res= 5-(38,9,22140) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,22140) (# 17414) : der= 5-(38,8,2952) and res= 5-(38,9,22140) - the given design is the residual.

# 17410: 5-(39,10,150552)

clan: 7-(40,10,2952), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,21284) (# 17399)
supplementary design of 6-(39,10,18780) (# 17401) with respect to smaller t
residual design of 6-(40,10,25092) (# 17402)
design 6-(39,10,22140) (# 17404) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,22140) (# 17414) : der= 5-(38,9,22140) and res= 5-(38,10,128412) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,128412) (# 17416) : der= 5-(38,9,22140) and res= 5-(38,10,128412) - the given design is the residual.

# 17411: 5-(38,8,2504)

clan: 7-(40,10,2504), 2 times derived
derived from 6-(39,9,2504) (# 17400)
derived from supplementary of 6-(39,9,2952) (# 17403)

# 17412: 5-(38,9,18780)

clan: 7-(40,10,2504), 1 times derived, 1 times residual
residual design of 6-(39,9,2504) (# 17400)
derived from 6-(39,10,18780) (# 17401)
residual design of supplementary of 6-(39,9,2952) (# 17403)
derived from supplementary of 6-(39,10,22140) (# 17404)

# 17413: 5-(38,8,2952)

clan: 7-(40,10,2952), 2 times derived
derived from supplementary of 6-(39,9,2504) (# 17400)
derived from 6-(39,9,2952) (# 17403)

# 17414: 5-(38,9,22140)

clan: 7-(40,10,2952), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,2504) (# 17400)
derived from supplementary of 6-(39,10,18780) (# 17401)
residual design of 6-(39,9,2952) (# 17403)
derived from 6-(39,10,22140) (# 17404)

# 17415: 5-(38,10,108924)

clan: 7-(40,10,2504), 2 times residual
residual design of 6-(39,10,18780) (# 17401)
residual design of supplementary of 6-(39,10,22140) (# 17404)

# 17416: 5-(38,10,128412)

clan: 7-(40,10,2952), 2 times residual
residual design of supplementary of 6-(39,10,18780) (# 17401)
residual design of 6-(39,10,22140) (# 17404)

# 17417: 7-(40,10,560)

clan: 7-(40,10,560)
$PSL(4,3)$ (many isomorphism types)

# 17418: 6-(40,10,4760)

clan: 7-(40,10,560), 1 times reduced t
design 7-(40,10,560) (# 17417) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,560) (# 17419) : der= 6-(39,9,560) and res= 6-(39,10,4200) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,4200) (# 17420) : der= 6-(39,9,560) and res= 6-(39,10,4200) - the given design is the residual.

# 17419: 6-(39,9,560)

clan: 7-(40,10,560), 1 times derived
derived from 7-(40,10,560) (# 17417)

# 17420: 6-(39,10,4200)

clan: 7-(40,10,560), 1 times residual
residual design of 7-(40,10,560) (# 17417)

# 17421: 6-(40,10,41616)

clan: 7-(40,10,4896), 1 times reduced t
supplementary design of 7-(40,10,560) (# 17417) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,4896) (# 17422) : der= 6-(39,9,4896) and res= 6-(39,10,36720) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,36720) (# 17423) : der= 6-(39,9,4896) and res= 6-(39,10,36720) - the given design is the residual.

# 17422: 6-(39,9,4896)

clan: 7-(40,10,4896), 1 times derived
derived from supplementary of 7-(40,10,560) (# 17417)

# 17423: 6-(39,10,36720)

clan: 7-(40,10,4896), 1 times residual
residual design of supplementary of 7-(40,10,560) (# 17417)

# 17424: 5-(40,10,33320)

clan: 7-(40,10,560), 2 times reduced t
design 6-(40,10,4760) (# 17418) with respect to smaller t
supplementary design of 6-(40,10,41616) (# 17421) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,4760) (# 17425) : der= 5-(39,9,4760) and res= 5-(39,10,28560) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,28560) (# 17426) : der= 5-(39,9,4760) and res= 5-(39,10,28560) - the given design is the residual.

# 17425: 5-(39,9,4760)

clan: 7-(40,10,560), 1 times reduced t, 1 times derived
derived from 6-(40,10,4760) (# 17418)
design 6-(39,9,560) (# 17419) with respect to smaller t
derived from supplementary of 6-(40,10,41616) (# 17421)
supplementary design of 6-(39,9,4896) (# 17422) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,560) (# 17430) : der= 5-(38,8,560) and res= 5-(38,9,4200) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,4200) (# 17431) : der= 5-(38,8,560) and res= 5-(38,9,4200) - the given design is the residual.

# 17426: 5-(39,10,28560)

clan: 7-(40,10,560), 1 times reduced t, 1 times residual
residual design of 6-(40,10,4760) (# 17418)
design 6-(39,10,4200) (# 17420) with respect to smaller t
residual design of supplementary of 6-(40,10,41616) (# 17421)
supplementary design of 6-(39,10,36720) (# 17423) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,4200) (# 17431) : der= 5-(38,9,4200) and res= 5-(38,10,24360) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,24360) (# 17434) : der= 5-(38,9,4200) and res= 5-(38,10,24360) - the given design is the residual.

# 17427: 5-(40,10,291312)

clan: 7-(40,10,4896), 2 times reduced t
supplementary design of 6-(40,10,4760) (# 17418) with respect to smaller t
design 6-(40,10,41616) (# 17421) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,41616) (# 17428) : der= 5-(39,9,41616) and res= 5-(39,10,249696) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,249696) (# 17429) : der= 5-(39,9,41616) and res= 5-(39,10,249696) - the given design is the residual.

# 17428: 5-(39,9,41616)

clan: 7-(40,10,4896), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,4760) (# 17418)
supplementary design of 6-(39,9,560) (# 17419) with respect to smaller t
derived from 6-(40,10,41616) (# 17421)
design 6-(39,9,4896) (# 17422) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,4896) (# 17432) : der= 5-(38,8,4896) and res= 5-(38,9,36720) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,36720) (# 17433) : der= 5-(38,8,4896) and res= 5-(38,9,36720) - the given design is the residual.

# 17429: 5-(39,10,249696)

clan: 7-(40,10,4896), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,4760) (# 17418)
supplementary design of 6-(39,10,4200) (# 17420) with respect to smaller t
residual design of 6-(40,10,41616) (# 17421)
design 6-(39,10,36720) (# 17423) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,36720) (# 17433) : der= 5-(38,9,36720) and res= 5-(38,10,212976) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,212976) (# 17435) : der= 5-(38,9,36720) and res= 5-(38,10,212976) - the given design is the residual.

# 17430: 5-(38,8,560)

clan: 7-(40,10,560), 2 times derived
derived from 6-(39,9,560) (# 17419)
derived from supplementary of 6-(39,9,4896) (# 17422)

# 17431: 5-(38,9,4200)

clan: 7-(40,10,560), 1 times derived, 1 times residual
residual design of 6-(39,9,560) (# 17419)
derived from 6-(39,10,4200) (# 17420)
residual design of supplementary of 6-(39,9,4896) (# 17422)
derived from supplementary of 6-(39,10,36720) (# 17423)

# 17432: 5-(38,8,4896)

clan: 7-(40,10,4896), 2 times derived
derived from supplementary of 6-(39,9,560) (# 17419)
derived from 6-(39,9,4896) (# 17422)

# 17433: 5-(38,9,36720)

clan: 7-(40,10,4896), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,560) (# 17419)
derived from supplementary of 6-(39,10,4200) (# 17420)
residual design of 6-(39,9,4896) (# 17422)
derived from 6-(39,10,36720) (# 17423)

# 17434: 5-(38,10,24360)

clan: 7-(40,10,560), 2 times residual
residual design of 6-(39,10,4200) (# 17420)
residual design of supplementary of 6-(39,10,36720) (# 17423)

# 17435: 5-(38,10,212976)

clan: 7-(40,10,4896), 2 times residual
residual design of supplementary of 6-(39,10,4200) (# 17420)
residual design of 6-(39,10,36720) (# 17423)

# 17436: 7-(40,11,11220)

clan: 28-(60,30,136), 1 times reduced t, 19 times derived, 1 times residual
$PSL(4,3)$ (many isomorphism types)

# 17437: 6-(40,11,76296)

clan: 28-(60,30,136), 2 times reduced t, 19 times derived, 1 times residual
design 7-(40,11,11220) (# 17436) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,11220) (# 17438) : der= 6-(39,10,11220) and res= 6-(39,11,65076) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,65076) (# 17439) : der= 6-(39,10,11220) and res= 6-(39,11,65076) - the given design is the residual.

# 17438: 6-(39,10,11220)

clan: 28-(60,30,136), 1 times reduced t, 20 times derived, 1 times residual
derived from 7-(40,11,11220) (# 17436)

# 17439: 6-(39,11,65076)

clan: 28-(60,30,136), 1 times reduced t, 19 times derived, 2 times residual
residual design of 7-(40,11,11220) (# 17436)

# 17440: 6-(40,11,201960)

clan: 28-(60,30,360), 2 times reduced t, 19 times derived, 1 times residual
supplementary design of 7-(40,11,11220) (# 17436) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,29700) (# 17441) : der= 6-(39,10,29700) and res= 6-(39,11,172260) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,172260) (# 17442) : der= 6-(39,10,29700) and res= 6-(39,11,172260) - the given design is the residual.

# 17441: 6-(39,10,29700)

clan: 28-(60,30,360), 1 times reduced t, 20 times derived, 1 times residual
derived from supplementary of 7-(40,11,11220) (# 17436)

# 17442: 6-(39,11,172260)

clan: 28-(60,30,360), 1 times reduced t, 19 times derived, 2 times residual
residual design of supplementary of 7-(40,11,11220) (# 17436)

# 17443: 5-(40,11,445060)

clan: 28-(60,30,136), 3 times reduced t, 19 times derived, 1 times residual
design 6-(40,11,76296) (# 17437) with respect to smaller t
supplementary design of 6-(40,11,201960) (# 17440) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,76296) (# 17444) : der= 5-(39,10,76296) and res= 5-(39,11,368764) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,368764) (# 17445) : der= 5-(39,10,76296) and res= 5-(39,11,368764) - the given design is the residual.

# 17444: 5-(39,10,76296)

clan: 28-(60,30,136), 2 times reduced t, 20 times derived, 1 times residual
derived from 6-(40,11,76296) (# 17437)
design 6-(39,10,11220) (# 17438) with respect to smaller t
derived from supplementary of 6-(40,11,201960) (# 17440)
supplementary design of 6-(39,10,29700) (# 17441) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,11220) (# 17449) : der= 5-(38,9,11220) and res= 5-(38,10,65076) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,65076) (# 17450) : der= 5-(38,9,11220) and res= 5-(38,10,65076) - the given design is the residual.

# 17445: 5-(39,11,368764)

clan: 28-(60,30,136), 2 times reduced t, 19 times derived, 2 times residual
residual design of 6-(40,11,76296) (# 17437)
design 6-(39,11,65076) (# 17439) with respect to smaller t
residual design of supplementary of 6-(40,11,201960) (# 17440)
supplementary design of 6-(39,11,172260) (# 17442) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,65076) (# 17450) : der= 5-(38,10,65076) and res= 5-(38,11,303688) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,303688) (# 17453) : der= 5-(38,10,65076) and res= 5-(38,11,303688) - the given design is the residual.

# 17446: 5-(40,11,1178100)

clan: 28-(60,30,360), 3 times reduced t, 19 times derived, 1 times residual
supplementary design of 6-(40,11,76296) (# 17437) with respect to smaller t
design 6-(40,11,201960) (# 17440) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,201960) (# 17447) : der= 5-(39,10,201960) and res= 5-(39,11,976140) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,976140) (# 17448) : der= 5-(39,10,201960) and res= 5-(39,11,976140) - the given design is the residual.

# 17447: 5-(39,10,201960)

clan: 28-(60,30,360), 2 times reduced t, 20 times derived, 1 times residual
derived from supplementary of 6-(40,11,76296) (# 17437)
supplementary design of 6-(39,10,11220) (# 17438) with respect to smaller t
derived from 6-(40,11,201960) (# 17440)
design 6-(39,10,29700) (# 17441) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,29700) (# 17451) : der= 5-(38,9,29700) and res= 5-(38,10,172260) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,172260) (# 17452) : der= 5-(38,9,29700) and res= 5-(38,10,172260) - the given design is the residual.

# 17448: 5-(39,11,976140)

clan: 28-(60,30,360), 2 times reduced t, 19 times derived, 2 times residual
residual design of supplementary of 6-(40,11,76296) (# 17437)
supplementary design of 6-(39,11,65076) (# 17439) with respect to smaller t
residual design of 6-(40,11,201960) (# 17440)
design 6-(39,11,172260) (# 17442) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,172260) (# 17452) : der= 5-(38,10,172260) and res= 5-(38,11,803880) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,803880) (# 17454) : der= 5-(38,10,172260) and res= 5-(38,11,803880) - the given design is the residual.

# 17449: 5-(38,9,11220)

clan: 28-(60,30,136), 1 times reduced t, 21 times derived, 1 times residual
derived from 6-(39,10,11220) (# 17438)
derived from supplementary of 6-(39,10,29700) (# 17441)

# 17450: 5-(38,10,65076)

clan: 28-(60,30,136), 1 times reduced t, 20 times derived, 2 times residual
residual design of 6-(39,10,11220) (# 17438)
derived from 6-(39,11,65076) (# 17439)
residual design of supplementary of 6-(39,10,29700) (# 17441)
derived from supplementary of 6-(39,11,172260) (# 17442)

# 17451: 5-(38,9,29700)

clan: 28-(60,30,360), 1 times reduced t, 21 times derived, 1 times residual
derived from supplementary of 6-(39,10,11220) (# 17438)
derived from 6-(39,10,29700) (# 17441)

# 17452: 5-(38,10,172260)

clan: 28-(60,30,360), 1 times reduced t, 20 times derived, 2 times residual
residual design of supplementary of 6-(39,10,11220) (# 17438)
derived from supplementary of 6-(39,11,65076) (# 17439)
residual design of 6-(39,10,29700) (# 17441)
derived from 6-(39,11,172260) (# 17442)

# 17453: 5-(38,11,303688)

clan: 28-(60,30,136), 1 times reduced t, 19 times derived, 3 times residual
residual design of 6-(39,11,65076) (# 17439)
residual design of supplementary of 6-(39,11,172260) (# 17442)

# 17454: 5-(38,11,803880)

clan: 28-(60,30,360), 1 times reduced t, 19 times derived, 3 times residual
residual design of supplementary of 6-(39,11,65076) (# 17439)
residual design of 6-(39,11,172260) (# 17442)

# 17455: 7-(40,11,14190)

clan: 13-(45,15,172), 1 times reduced t, 4 times derived, 1 times residual
$PSL(4,3)$ (many isomorphism types)

# 17456: 6-(40,11,96492)

clan: 13-(45,15,172), 2 times reduced t, 4 times derived, 1 times residual
design 7-(40,11,14190) (# 17455) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,14190) (# 17457) : der= 6-(39,10,14190) and res= 6-(39,11,82302) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,82302) (# 17458) : der= 6-(39,10,14190) and res= 6-(39,11,82302) - the given design is the residual.

# 17457: 6-(39,10,14190)

clan: 13-(45,15,172), 1 times reduced t, 5 times derived, 1 times residual
derived from 7-(40,11,14190) (# 17455)

# 17458: 6-(39,11,82302)

clan: 13-(45,15,172), 1 times reduced t, 4 times derived, 2 times residual
residual design of 7-(40,11,14190) (# 17455)

# 17459: 6-(40,11,181764)

clan: 13-(45,15,324), 2 times reduced t, 4 times derived, 1 times residual
supplementary design of 7-(40,11,14190) (# 17455) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,26730) (# 17460) : der= 6-(39,10,26730) and res= 6-(39,11,155034) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,155034) (# 17461) : der= 6-(39,10,26730) and res= 6-(39,11,155034) - the given design is the residual.

# 17460: 6-(39,10,26730)

clan: 13-(45,15,324), 1 times reduced t, 5 times derived, 1 times residual
derived from supplementary of 7-(40,11,14190) (# 17455)

# 17461: 6-(39,11,155034)

clan: 13-(45,15,324), 1 times reduced t, 4 times derived, 2 times residual
residual design of supplementary of 7-(40,11,14190) (# 17455)

# 17462: 5-(40,11,562870)

clan: 13-(45,15,172), 3 times reduced t, 4 times derived, 1 times residual
design 6-(40,11,96492) (# 17456) with respect to smaller t
supplementary design of 6-(40,11,181764) (# 17459) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,96492) (# 17463) : der= 5-(39,10,96492) and res= 5-(39,11,466378) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,466378) (# 17464) : der= 5-(39,10,96492) and res= 5-(39,11,466378) - the given design is the residual.

# 17463: 5-(39,10,96492)

clan: 13-(45,15,172), 2 times reduced t, 5 times derived, 1 times residual
derived from 6-(40,11,96492) (# 17456)
design 6-(39,10,14190) (# 17457) with respect to smaller t
derived from supplementary of 6-(40,11,181764) (# 17459)
supplementary design of 6-(39,10,26730) (# 17460) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,14190) (# 17468) : der= 5-(38,9,14190) and res= 5-(38,10,82302) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,82302) (# 17469) : der= 5-(38,9,14190) and res= 5-(38,10,82302) - the given design is the residual.

# 17464: 5-(39,11,466378)

clan: 13-(45,15,172), 2 times reduced t, 4 times derived, 2 times residual
residual design of 6-(40,11,96492) (# 17456)
design 6-(39,11,82302) (# 17458) with respect to smaller t
residual design of supplementary of 6-(40,11,181764) (# 17459)
supplementary design of 6-(39,11,155034) (# 17461) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,82302) (# 17469) : der= 5-(38,10,82302) and res= 5-(38,11,384076) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,384076) (# 17472) : der= 5-(38,10,82302) and res= 5-(38,11,384076) - the given design is the residual.

# 17465: 5-(40,11,1060290)

clan: 13-(45,15,324), 3 times reduced t, 4 times derived, 1 times residual
supplementary design of 6-(40,11,96492) (# 17456) with respect to smaller t
design 6-(40,11,181764) (# 17459) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,181764) (# 17466) : der= 5-(39,10,181764) and res= 5-(39,11,878526) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,878526) (# 17467) : der= 5-(39,10,181764) and res= 5-(39,11,878526) - the given design is the residual.

# 17466: 5-(39,10,181764)

clan: 13-(45,15,324), 2 times reduced t, 5 times derived, 1 times residual
derived from supplementary of 6-(40,11,96492) (# 17456)
supplementary design of 6-(39,10,14190) (# 17457) with respect to smaller t
derived from 6-(40,11,181764) (# 17459)
design 6-(39,10,26730) (# 17460) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,26730) (# 17470) : der= 5-(38,9,26730) and res= 5-(38,10,155034) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,155034) (# 17471) : der= 5-(38,9,26730) and res= 5-(38,10,155034) - the given design is the residual.

# 17467: 5-(39,11,878526)

clan: 13-(45,15,324), 2 times reduced t, 4 times derived, 2 times residual
residual design of supplementary of 6-(40,11,96492) (# 17456)
supplementary design of 6-(39,11,82302) (# 17458) with respect to smaller t
residual design of 6-(40,11,181764) (# 17459)
design 6-(39,11,155034) (# 17461) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,155034) (# 17471) : der= 5-(38,10,155034) and res= 5-(38,11,723492) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,723492) (# 17473) : der= 5-(38,10,155034) and res= 5-(38,11,723492) - the given design is the residual.

# 17468: 5-(38,9,14190)

clan: 13-(45,15,172), 1 times reduced t, 6 times derived, 1 times residual
derived from 6-(39,10,14190) (# 17457)
derived from supplementary of 6-(39,10,26730) (# 17460)

# 17469: 5-(38,10,82302)

clan: 13-(45,15,172), 1 times reduced t, 5 times derived, 2 times residual
residual design of 6-(39,10,14190) (# 17457)
derived from 6-(39,11,82302) (# 17458)
residual design of supplementary of 6-(39,10,26730) (# 17460)
derived from supplementary of 6-(39,11,155034) (# 17461)

# 17470: 5-(38,9,26730)

clan: 13-(45,15,324), 1 times reduced t, 6 times derived, 1 times residual
derived from supplementary of 6-(39,10,14190) (# 17457)
derived from 6-(39,10,26730) (# 17460)

# 17471: 5-(38,10,155034)

clan: 13-(45,15,324), 1 times reduced t, 5 times derived, 2 times residual
residual design of supplementary of 6-(39,10,14190) (# 17457)
derived from supplementary of 6-(39,11,82302) (# 17458)
residual design of 6-(39,10,26730) (# 17460)
derived from 6-(39,11,155034) (# 17461)

# 17472: 5-(38,11,384076)

clan: 13-(45,15,172), 1 times reduced t, 4 times derived, 3 times residual
residual design of 6-(39,11,82302) (# 17458)
residual design of supplementary of 6-(39,11,155034) (# 17461)

# 17473: 5-(38,11,723492)

clan: 13-(45,15,324), 1 times reduced t, 4 times derived, 3 times residual
residual design of supplementary of 6-(39,11,82302) (# 17458)
residual design of 6-(39,11,155034) (# 17461)

# 17474: 7-(40,11,14850)

clan: 13-(45,15,180), 1 times reduced t, 4 times derived, 1 times residual
$PSL(4,3)$ (many isomorphism types)

# 17475: 6-(40,11,100980)

clan: 13-(45,15,180), 2 times reduced t, 4 times derived, 1 times residual
design 7-(40,11,14850) (# 17474) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,14850) (# 17476) : der= 6-(39,10,14850) and res= 6-(39,11,86130) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,86130) (# 17477) : der= 6-(39,10,14850) and res= 6-(39,11,86130) - the given design is the residual.

# 17476: 6-(39,10,14850)

clan: 13-(45,15,180), 1 times reduced t, 5 times derived, 1 times residual
derived from 7-(40,11,14850) (# 17474)

# 17477: 6-(39,11,86130)

clan: 13-(45,15,180), 1 times reduced t, 4 times derived, 2 times residual
residual design of 7-(40,11,14850) (# 17474)

# 17478: 6-(40,11,177276)

clan: 13-(45,15,316), 2 times reduced t, 4 times derived, 1 times residual
supplementary design of 7-(40,11,14850) (# 17474) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,26070) (# 17479) : der= 6-(39,10,26070) and res= 6-(39,11,151206) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,151206) (# 17480) : der= 6-(39,10,26070) and res= 6-(39,11,151206) - the given design is the residual.

# 17479: 6-(39,10,26070)

clan: 13-(45,15,316), 1 times reduced t, 5 times derived, 1 times residual
derived from supplementary of 7-(40,11,14850) (# 17474)

# 17480: 6-(39,11,151206)

clan: 13-(45,15,316), 1 times reduced t, 4 times derived, 2 times residual
residual design of supplementary of 7-(40,11,14850) (# 17474)

# 17481: 5-(40,11,589050)

clan: 13-(45,15,180), 3 times reduced t, 4 times derived, 1 times residual
design 6-(40,11,100980) (# 17475) with respect to smaller t
supplementary design of 6-(40,11,177276) (# 17478) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,100980) (# 17482) : der= 5-(39,10,100980) and res= 5-(39,11,488070) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,488070) (# 17483) : der= 5-(39,10,100980) and res= 5-(39,11,488070) - the given design is the residual.

# 17482: 5-(39,10,100980)

clan: 13-(45,15,180), 2 times reduced t, 5 times derived, 1 times residual
derived from 6-(40,11,100980) (# 17475)
design 6-(39,10,14850) (# 17476) with respect to smaller t
derived from supplementary of 6-(40,11,177276) (# 17478)
supplementary design of 6-(39,10,26070) (# 17479) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,14850) (# 17487) : der= 5-(38,9,14850) and res= 5-(38,10,86130) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,86130) (# 17488) : der= 5-(38,9,14850) and res= 5-(38,10,86130) - the given design is the residual.

# 17483: 5-(39,11,488070)

clan: 13-(45,15,180), 2 times reduced t, 4 times derived, 2 times residual
residual design of 6-(40,11,100980) (# 17475)
design 6-(39,11,86130) (# 17477) with respect to smaller t
residual design of supplementary of 6-(40,11,177276) (# 17478)
supplementary design of 6-(39,11,151206) (# 17480) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,86130) (# 17488) : der= 5-(38,10,86130) and res= 5-(38,11,401940) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,401940) (# 17491) : der= 5-(38,10,86130) and res= 5-(38,11,401940) - the given design is the residual.

# 17484: 5-(40,11,1034110)

clan: 13-(45,15,316), 3 times reduced t, 4 times derived, 1 times residual
supplementary design of 6-(40,11,100980) (# 17475) with respect to smaller t
design 6-(40,11,177276) (# 17478) with respect to smaller t
Tran van Trung construction (right) for 5-(39,10,177276) (# 17485) : der= 5-(39,10,177276) and res= 5-(39,11,856834) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,11,856834) (# 17486) : der= 5-(39,10,177276) and res= 5-(39,11,856834) - the given design is the residual.

# 17485: 5-(39,10,177276)

clan: 13-(45,15,316), 2 times reduced t, 5 times derived, 1 times residual
derived from supplementary of 6-(40,11,100980) (# 17475)
supplementary design of 6-(39,10,14850) (# 17476) with respect to smaller t
derived from 6-(40,11,177276) (# 17478)
design 6-(39,10,26070) (# 17479) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,26070) (# 17489) : der= 5-(38,9,26070) and res= 5-(38,10,151206) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,151206) (# 17490) : der= 5-(38,9,26070) and res= 5-(38,10,151206) - the given design is the residual.

# 17486: 5-(39,11,856834)

clan: 13-(45,15,316), 2 times reduced t, 4 times derived, 2 times residual
residual design of supplementary of 6-(40,11,100980) (# 17475)
supplementary design of 6-(39,11,86130) (# 17477) with respect to smaller t
residual design of 6-(40,11,177276) (# 17478)
design 6-(39,11,151206) (# 17480) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,151206) (# 17490) : der= 5-(38,10,151206) and res= 5-(38,11,705628) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,705628) (# 17492) : der= 5-(38,10,151206) and res= 5-(38,11,705628) - the given design is the residual.

# 17487: 5-(38,9,14850)

clan: 13-(45,15,180), 1 times reduced t, 6 times derived, 1 times residual
derived from 6-(39,10,14850) (# 17476)
derived from supplementary of 6-(39,10,26070) (# 17479)

# 17488: 5-(38,10,86130)

clan: 13-(45,15,180), 1 times reduced t, 5 times derived, 2 times residual
residual design of 6-(39,10,14850) (# 17476)
derived from 6-(39,11,86130) (# 17477)
residual design of supplementary of 6-(39,10,26070) (# 17479)
derived from supplementary of 6-(39,11,151206) (# 17480)

# 17489: 5-(38,9,26070)

clan: 13-(45,15,316), 1 times reduced t, 6 times derived, 1 times residual
derived from supplementary of 6-(39,10,14850) (# 17476)
derived from 6-(39,10,26070) (# 17479)

# 17490: 5-(38,10,151206)

clan: 13-(45,15,316), 1 times reduced t, 5 times derived, 2 times residual
residual design of supplementary of 6-(39,10,14850) (# 17476)
derived from supplementary of 6-(39,11,86130) (# 17477)
residual design of 6-(39,10,26070) (# 17479)
derived from 6-(39,11,151206) (# 17480)

# 17491: 5-(38,11,401940)

clan: 13-(45,15,180), 1 times reduced t, 4 times derived, 3 times residual
residual design of 6-(39,11,86130) (# 17477)
residual design of supplementary of 6-(39,11,151206) (# 17480)

# 17492: 5-(38,11,705628)

clan: 13-(45,15,316), 1 times reduced t, 4 times derived, 3 times residual
residual design of supplementary of 6-(39,11,86130) (# 17477)
residual design of 6-(39,11,151206) (# 17480)

# 17493: 7-(40,11,17820)

clan: 28-(60,30,216), 1 times reduced t, 19 times derived, 1 times residual
$PSL(4,3)$ (many isomorphism types)

# 17494: 6-(39,10,17820)

clan: 28-(60,30,216), 1 times reduced t, 20 times derived, 1 times residual
derived from 7-(40,11,17820) (# 17493)

# 17495: 6-(39,11,103356)

clan: 28-(60,30,216), 1 times reduced t, 19 times derived, 2 times residual
residual design of 7-(40,11,17820) (# 17493)

# 17496: 6-(40,11,157080)

clan: 28-(60,30,280), 2 times reduced t, 19 times derived, 1 times residual
supplementary design of 7-(40,11,17820) (# 17493) with respect to smaller t
Tran van Trung construction (right) for 6-(39,10,23100) (# 17497) : der= 6-(39,10,23100) and res= 6-(39,11,133980) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,11,133980) (# 17498) : der= 6-(39,10,23100) and res= 6-(39,11,133980) - the given design is the residual.

# 17497: 6-(39,10,23100)

clan: 28-(60,30,280), 1 times reduced t, 20 times derived, 1 times residual
derived from supplementary of 7-(40,11,17820) (# 17493)

# 17498: 6-(39,11,133980)

clan: 28-(60,30,280), 1 times reduced t, 19 times derived, 2 times residual
residual design of supplementary of 7-(40,11,17820) (# 17493)

# 17499: 5-(38,9,17820)

clan: 28-(60,30,216), 1 times reduced t, 21 times derived, 1 times residual
derived from 6-(39,10,17820) (# 17494)
derived from supplementary of 6-(39,10,23100) (# 17497)

created: Fri Oct 23 11:14:38 CEST 2009