# 1100: 5-(22,10,630)

- clan: 7-(24,12,630), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,630), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,630) (# 1100) : der= 5-(22,10,630) and res= 5-(22,11,1260) - the given design is the derived.

- clan: 7-(24,12,630), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1890) (# 1101)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,672), 2 times derived
- \cite{Kreher95} $PGL(2,19)++$

- clan: 7-(24,12,672), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,672) (# 1103) : der= 5-(22,10,672) and res= 5-(22,11,1344) - the given design is the derived.

- clan: 7-(24,12,672), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2016) (# 1104)

- clan: 7-(24,12,686), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,686), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,686) (# 1106) : der= 5-(22,10,686) and res= 5-(22,11,1372) - the given design is the derived.

- clan: 7-(24,12,686), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2058) (# 1107)

- clan: 15-(32,16,2), 6 times derived, 4 times residual
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 15-(32,16,2), 1 times reduced t, 5 times derived, 4 times residual
- Tran van Trung construction (right) for 5-(22,10,728) (# 1109) : der= 5-(22,10,728) and res= 5-(22,11,1456) - the given design is the derived.

- clan: 15-(32,16,2), 2 times reduced t, 4 times derived, 4 times residual
- Tran van Trung construction with complementary design for 5-(23,11,2184) (# 1110)

- clan: 7-(24,12,756), 2 times derived
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,756), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,756) (# 1112) : der= 5-(22,10,756) and res= 5-(22,11,1512) - the given design is the derived.

- clan: 7-(24,12,756), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2268) (# 1113)

- clan: 7-(24,12,770), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,770) (# 9721)
- derived from supplementary of 6-(23,11,5418) (# 9732)

- clan: 7-(24,12,770), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,770) (# 1115) : der= 5-(22,10,770) and res= 5-(22,11,1540) - the given design is the derived.
- design 6-(23,11,770) (# 9721) with respect to smaller t
- derived from 6-(24,12,2310) (# 9722)
- derived from supplementary of 6-(24,12,16254) (# 9731)
- supplementary design of 6-(23,11,5418) (# 9732) with respect to smaller t

- clan: 7-(24,12,770), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2310) (# 1116)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,2310) (# 9722) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,3960) (# 9728) : der= 5-(23,11,2310) and res= 5-(23,12,3960) - the given design is the residual.
- supplementary design of 6-(24,12,16254) (# 9731) with respect to smaller t

- clan: 7-(24,12,798), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,798), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,798) (# 1118) : der= 5-(22,10,798) and res= 5-(22,11,1596) - the given design is the derived.

- clan: 7-(24,12,798), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2394) (# 1119)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,812), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,812), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,812) (# 1121) : der= 5-(22,10,812) and res= 5-(22,11,1624) - the given design is the derived.

- clan: 7-(24,12,812), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2436) (# 1122)

- clan: 7-(24,12,840), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,840), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,840) (# 1124) : der= 5-(22,10,840) and res= 5-(22,11,1680) - the given design is the derived.

- clan: 7-(24,12,840), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2520) (# 1125)

- clan: 7-(24,12,882), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,882) (# 9737)
- derived from supplementary of 6-(23,11,5306) (# 9748)

- clan: 7-(24,12,882), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,882) (# 1127) : der= 5-(22,10,882) and res= 5-(22,11,1764) - the given design is the derived.
- design 6-(23,11,882) (# 9737) with respect to smaller t
- derived from 6-(24,12,2646) (# 9738)
- derived from supplementary of 6-(24,12,15918) (# 9747)
- supplementary design of 6-(23,11,5306) (# 9748) with respect to smaller t

- clan: 7-(24,12,882), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2646) (# 1128)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,2646) (# 9738) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,4536) (# 9744) : der= 5-(23,11,2646) and res= 5-(23,12,4536) - the given design is the residual.
- supplementary design of 6-(24,12,15918) (# 9747) with respect to smaller t

- clan: 7-(24,12,896), 2 times derived
- $M_{11}\times C_2$,
- $PGL(2,19)++$
- derived from 6-(23,11,896) (# 9753)
- derived from supplementary of 6-(23,11,5292) (# 9764)

- clan: 7-(24,12,896), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,896) (# 1130) : der= 5-(22,10,896) and res= 5-(22,11,1792) - the given design is the derived.
- design 6-(23,11,896) (# 9753) with respect to smaller t
- derived from 6-(24,12,2688) (# 9754)
- derived from supplementary of 6-(24,12,15876) (# 9763)
- supplementary design of 6-(23,11,5292) (# 9764) with respect to smaller t

- clan: 7-(24,12,896), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2688) (# 1131)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,2688) (# 9754) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,4608) (# 9760) : der= 5-(23,11,2688) and res= 5-(23,12,4608) - the given design is the residual.
- supplementary design of 6-(24,12,15876) (# 9763) with respect to smaller t

- clan: 7-(24,12,938), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,938) (# 9769)
- derived from supplementary of 6-(23,11,5250) (# 9780)

- clan: 7-(24,12,938), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,938) (# 1133) : der= 5-(22,10,938) and res= 5-(22,11,1876) - the given design is the derived.
- design 6-(23,11,938) (# 9769) with respect to smaller t
- derived from 6-(24,12,2814) (# 9770)
- derived from supplementary of 6-(24,12,15750) (# 9779)
- supplementary design of 6-(23,11,5250) (# 9780) with respect to smaller t

- clan: 7-(24,12,938), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2814) (# 1134)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,2814) (# 9770) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,4824) (# 9776) : der= 5-(23,11,2814) and res= 5-(23,12,4824) - the given design is the residual.
- supplementary design of 6-(24,12,15750) (# 9779) with respect to smaller t

- clan: 7-(24,12,966), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,966), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,966) (# 1136) : der= 5-(22,10,966) and res= 5-(22,11,1932) - the given design is the derived.

- clan: 7-(24,12,966), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2898) (# 1137)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,980), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,980), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,980) (# 1139) : der= 5-(22,10,980) and res= 5-(22,11,1960) - the given design is the derived.

- clan: 7-(24,12,980), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2940) (# 1140)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,504), 1 times derived, 1 times residual
- \cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types

- clan: 7-(24,12,644), 1 times derived, 1 times residual
- \cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types

- clan: 7-(24,12,924), 1 times derived, 1 times residual
- \cite{Kreher95}

- clan: 7-(24,12,3612), 1 times derived, 1 times residual
- $PSL(3,4)+$
- residual design of supplementary of 6-(23,11,2576) (# 9514)
- derived from supplementary of 6-(23,12,5152) (# 9524)
- residual design of 6-(23,11,3612) (# 9526)
- derived from 6-(23,12,7224) (# 9527)

- clan: 15-(32,16,6), 10 times derived
- $Hol(C_{19})+++$
- $PSL(2,11)$ 10 solutions
- derived from 6-(23,7,6) (# 13315)
- derived from supplementary of 6-(23,7,11) (# 13318)

- clan: 15-(32,16,2), 9 times derived, 1 times residual
- \cite{Kreher95} $PGL(2,19)++$
- $PSL(2,11)$ 1 solution
- \cite{Kreher95} $PSL(2,19)++$ 9 solutions

- clan: 5-(22,7,30)
- $PSL(2,11)$ $\ge 20000$ solutions

- clan: 13-(30,15,36), 8 times derived
- $PSL(2,11)$ many solutions
- $PGL(2,19)++$ 69 solutions

- clan: 15-(32,16,5), 9 times derived, 1 times residual
- $M_{11}\times C_2$ (2 isom. types)
- $PSL(2,11)$ many solutions
- $PGL(2,19)++$ 92 solutions
- residual design of 6-(23,7,5) (# 13288)
- derived from 6-(23,8,40) (# 13289)
- residual design of supplementary of 6-(23,7,12) (# 13291)
- derived from supplementary of 6-(23,8,96) (# 13292)

- clan: 5-(22,7,46)
- $PSL(2,11)$

- clan: 13-(30,15,60), 8 times derived
- \cite{Kreher95} $PGL(2,19)++$
- $PSL(2,11)$ many solutions

- clan: 5-(22,7,66)
- $PSL(2,11)$ many solutions

- clan: 14-(30,15,8), 1 times reduced t, 8 times derived
- \cite{Kreher95}
- design 6-(22,7,8) (# 8739) with respect to smaller t
- supplementary design of 6-(22,7,8) (# 8739) with respect to smaller t
- Tran van Trung construction (right) for 5-(21,6,8) (# 8740) : der= 5-(21,6,8) and res= 5-(21,7,60) - the given design is the derived.
- Tran van Trung construction (left) for 5-(21,7,60) (# 8741) : der= 5-(21,6,8) and res= 5-(21,7,60) - the given design is the residual.
- derived from 6-(23,8,68) (# 8744)
- derived from supplementary of 6-(23,8,68) (# 8744)

- clan: 13-(30,15,20), 7 times derived, 1 times residual
- \cite{Kreher95} $PSL(2,19)++$

- clan: 15-(32,16,3), 8 times derived, 2 times residual
- $PSL(2,19)++$
- $S_7^{[2]}+$ (3 isom. types)

- clan: 13-(30,15,28), 7 times derived, 1 times residual
- $PSL(2,19)++$

- clan: 15-(32,16,4), 8 times derived, 2 times residual
- $PSL(2,19)++$
- residual design of 6-(23,8,32) (# 13278)
- residual design of supplementary of 6-(23,8,104) (# 13281)

- clan: 13-(30,15,36), 7 times derived, 1 times residual
- $PSL(2,19)++$

- clan: 13-(30,15,36), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(22,8,180) (# 1159) : der= 5-(22,7,36) and res= 5-(22,8,180) - the given design is the residual.

- clan: 15-(32,16,5), 8 times derived, 2 times residual
- $PSL(2,19)++$
- residual design of 6-(23,8,40) (# 13289)
- residual design of supplementary of 6-(23,8,96) (# 13292)
- derived from 6-(23,9,200) (# 13436)
- derived from supplementary of 6-(23,9,480) (# 13438)

- clan: 15-(32,16,5), 1 times reduced t, 8 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,8,200) (# 1161) : der= 5-(22,7,40) and res= 5-(22,8,200) - the given design is the residual.
- residual design of 6-(24,8,45) (# 9837)
- design 6-(23,8,40) (# 13289) with respect to smaller t
- residual design of supplementary of 6-(24,8,108) (# 13290)
- supplementary design of 6-(23,8,96) (# 13292) with respect to smaller t
- derived from 6-(24,9,240) (# 13435)
- derived from supplementary of 6-(24,9,576) (# 13437)

- clan: 13-(30,15,44), 7 times derived, 1 times residual
- $PSL(2,19)++$

- clan: 15-(32,16,6), 8 times derived, 2 times residual
- $PSL(2,19)++$
- $PSL(2,11)$
- derived from 6-(23,9,240) (# 13149)
- derived from supplementary of 6-(23,9,440) (# 13152)
- residual design of 6-(23,8,48) (# 13316)
- residual design of supplementary of 6-(23,8,88) (# 13319)

- clan: 13-(30,15,52), 7 times derived, 1 times residual
- $PSL(2,11)$

- clan: 15-(32,16,7), 8 times derived, 2 times residual
- $PSL(2,19)++$
- residual design of 6-(23,8,56) (# 13370)
- residual design of supplementary of 6-(23,8,80) (# 13373)

- clan: 13-(30,15,60), 7 times derived, 1 times residual
- $PSL(2,11)$

- clan: 13-(30,15,60), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(22,8,300) (# 1167) : der= 5-(22,7,60) and res= 5-(22,8,300) - the given design is the residual.

- clan: 15-(32,16,8), 8 times derived, 2 times residual
- $PSL(2,11)$
- derived from 6-(23,9,320) (# 13168)
- derived from supplementary of 6-(23,9,360) (# 13170)
- residual design of 6-(23,8,64) (# 13381)
- residual design of supplementary of 6-(23,8,72) (# 13384)

- clan: 14-(30,15,8), 1 times reduced t, 7 times derived, 1 times residual
- \cite{Kreher95} $PSL(2,19)++$
- design 6-(22,8,60) (# 8742) with respect to smaller t
- supplementary design of 6-(22,8,60) (# 8742) with respect to smaller t
- Tran van Trung construction (left) for 5-(21,8,280) (# 8743) : der= 5-(21,7,60) and res= 5-(21,8,280) - the given design is the residual.
- residual design of 6-(23,8,68) (# 8744)
- residual design of supplementary of 6-(23,8,68) (# 8744)
- derived from 6-(23,9,340) (# 8767)
- derived from supplementary of 6-(23,9,340) (# 8767)

- clan: 14-(30,15,8), 2 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(22,8,340) (# 1170) : der= 5-(22,7,68) and res= 5-(22,8,340) - the given design is the residual.
- design 6-(23,8,68) (# 8744) with respect to smaller t
- supplementary design of 6-(23,8,68) (# 8744) with respect to smaller t
- derived from 6-(24,9,408) (# 8768)
- derived from supplementary of 6-(24,9,408) (# 8768)

- clan: 15-(32,16,1), 8 times derived, 2 times residual
- $PSL(2,19)++$ 10 solutions

- clan: 13-(30,15,12), 7 times derived, 1 times residual
- \cite{Kreher95} $PSL(2,19)++$

- clan: 15-(32,16,2), 8 times derived, 2 times residual
- \cite{Kreher95} $PSL(2,19)++$

- clan: 15-(32,16,2), 1 times reduced t, 8 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,8,80) (# 1174) : der= 5-(22,7,16) and res= 5-(22,8,80) - the given design is the residual.

- clan: 13-(30,15,60), 6 times derived, 2 times residual
- $PSL(2,19)++$
- derived from 6-(23,10,1050) (# 8769)

- clan: 13-(30,15,60), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,1050) (# 1176) : der= 5-(22,8,300) and res= 5-(22,9,1050) - the given design is the residual.

- clan: 13-(30,15,60), 1 times reduced t, 5 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(22,9,1050) (# 1176) : der= 5-(22,9,1050) and res= 5-(22,10,2730) - the given design is the derived.
- design 6-(23,10,1050) (# 8769) with respect to smaller t
- derived from 6-(24,11,3780) (# 9572)

- clan: 13-(30,15,60), 2 times reduced t, 6 times derived
- Tran van Trung construction (left) for 5-(23,9,1350) (# 1177) : der= 5-(23,8,360) and res= 5-(23,9,1350) - the given design is the residual.
- $PGL(2,23)$ (>1 isomorphism types)

- clan: 13-(30,15,60), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(23,9,1350) (# 1177) : der= 5-(23,9,1350) and res= 5-(23,10,3780) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,10,3780) (# 1178) : der= 5-(23,9,1350) and res= 5-(23,10,3780) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(30,15,60), 2 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(23,10,3780) (# 1178) : der= 5-(23,10,3780) and res= 5-(23,11,8190) - the given design is the derived.
- design 6-(24,11,3780) (# 9572) with respect to smaller t
- derived from 6-(25,12,11970) (# 9576)
- derived from supplementary of 6-(25,12,15162) (# 9593)

- clan: 13-(30,15,60), 3 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1710) (# 1179) : der= 5-(24,9,1710) and res= 5-(24,10,5130) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,10,5130) (# 1180) : der= 5-(24,9,1710) and res= 5-(24,10,5130) - the given design is the residual.

- clan: 13-(30,15,60), 3 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,10,5130) (# 1180) : der= 5-(24,10,5130) and res= 5-(24,11,11970) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,11970) (# 1181) : der= 5-(24,10,5130) and res= 5-(24,11,11970) - the given design is the residual.

- clan: 13-(30,15,60), 3 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(24,11,11970) (# 1181) : der= 5-(24,11,11970) and res= 5-(24,12,22230) - the given design is the derived.
- design 6-(25,12,11970) (# 9576) with respect to smaller t
- derived from 6-(26,13,34200) (# 9583)
- derived from supplementary of 6-(26,13,43320) (# 9592)
- supplementary design of 6-(25,12,15162) (# 9593) with respect to smaller t

- clan: 13-(30,15,60), 4 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(25,10,6840) (# 1182) : der= 5-(25,10,6840) and res= 5-(25,11,17100) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,11,17100) (# 1183) : der= 5-(25,10,6840) and res= 5-(25,11,17100) - the given design is the residual.

- clan: 13-(30,15,60), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,11,17100) (# 1183) : der= 5-(25,11,17100) and res= 5-(25,12,34200) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,12,34200) (# 1184) : der= 5-(25,11,17100) and res= 5-(25,12,34200) - the given design is the residual.

- clan: 13-(30,15,60), 4 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(25,12,34200) (# 1184)
- design 6-(26,13,34200) (# 9583) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,13,55575) (# 9589) : der= 5-(25,12,34200) and res= 5-(25,13,55575) - the given design is the residual.
- supplementary design of 6-(26,13,43320) (# 9592) with respect to smaller t

- clan: 13-(30,15,60), 5 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(26,11,23940) (# 1185) : der= 5-(26,11,23940) and res= 5-(26,12,51300) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,12,51300) (# 1186) : der= 5-(26,11,23940) and res= 5-(26,12,51300) - the given design is the residual.

- clan: 13-(30,15,60), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,12,51300) (# 1186) : der= 5-(26,12,51300) and res= 5-(26,13,89775) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,89775) (# 1187) : der= 5-(26,12,51300) and res= 5-(26,13,89775) - the given design is the residual.

- clan: 13-(30,15,60), 6 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(27,12,75240) (# 1188) : der= 5-(27,12,75240) and res= 5-(27,13,141075) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,13,141075) (# 1189) : der= 5-(27,12,75240) and res= 5-(27,13,141075) - the given design is the residual.

- clan: 13-(30,15,60), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(27,13,141075) (# 1189)

- clan: 13-(30,15,60), 7 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(28,13,216315) (# 1190) : der= 5-(28,13,216315) and res= 5-(28,14,360525) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,14,360525) (# 1191) : der= 5-(28,13,216315) and res= 5-(28,14,360525) - the given design is the residual.

- clan: 13-(30,15,60), 8 times reduced t
- Tran van Trung construction with complementary design for 5-(29,14,576840) (# 1192)

- clan: 15-(32,16,8), 7 times derived, 3 times residual
- $PSL(2,19)++$
- derived from 6-(23,10,1120) (# 8773)
- residual design of 6-(23,9,320) (# 13168)
- residual design of supplementary of 6-(23,9,360) (# 13170)
- derived from supplementary of 6-(23,10,1260) (# 13171)

- clan: 15-(32,16,8), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,1120) (# 1194) : der= 5-(22,8,320) and res= 5-(22,9,1120) - the given design is the residual.
- derived from 6-(24,10,1440) (# 13167)
- design 6-(23,9,320) (# 13168) with respect to smaller t
- derived from supplementary of 6-(24,10,1620) (# 13169)
- supplementary design of 6-(23,9,360) (# 13170) with respect to smaller t
- residual design of 6-(24,9,384) (# 13389)
- residual design of supplementary of 6-(24,9,432) (# 13390)

- clan: 15-(32,16,8), 1 times reduced t, 6 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,9,1120) (# 1194) : der= 5-(22,9,1120) and res= 5-(22,10,2912) - the given design is the derived.
- $PSL(2,19) + C_3$
- design 6-(23,10,1120) (# 8773) with respect to smaller t
- derived from 6-(24,11,4032) (# 9648)
- residual design of 6-(24,10,1440) (# 13167)
- residual design of supplementary of 6-(24,10,1620) (# 13169)
- supplementary design of 6-(23,10,1260) (# 13171) with respect to smaller t
- derived from supplementary of 6-(24,11,4536) (# 13176)

- clan: 15-(32,16,8), 2 times reduced t, 6 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(23,9,1440) (# 1195) : der= 5-(23,9,1440) and res= 5-(23,10,4032) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,10,4032) (# 1196) : der= 5-(23,9,1440) and res= 5-(23,10,4032) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,10,1440) (# 13167) with respect to smaller t
- supplementary design of 6-(24,10,1620) (# 13169) with respect to smaller t
- derived from 6-(25,11,5472) (# 13174)
- derived from supplementary of 6-(25,11,6156) (# 13180)
- residual design of 6-(25,10,1824) (# 13392)
- residual design of supplementary of 6-(25,10,2052) (# 13394)

- clan: 15-(32,16,8), 2 times reduced t, 5 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(23,10,4032) (# 1196) : der= 5-(23,10,4032) and res= 5-(23,11,8736) - the given design is the derived.
- design 6-(24,11,4032) (# 9648) with respect to smaller t
- derived from 6-(25,12,12768) (# 9651)
- derived from supplementary of 6-(25,12,14364) (# 9665)
- residual design of 6-(25,11,5472) (# 13174)
- supplementary design of 6-(24,11,4536) (# 13176) with respect to smaller t
- residual design of supplementary of 6-(25,11,6156) (# 13180)

- clan: 15-(32,16,8), 3 times reduced t, 5 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(24,10,5472) (# 1197) : der= 5-(24,10,5472) and res= 5-(24,11,12768) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,12768) (# 1198) : der= 5-(24,10,5472) and res= 5-(24,11,12768) - the given design is the residual.
- design 6-(25,11,5472) (# 13174) with respect to smaller t
- derived from 6-(26,12,18240) (# 13179)
- supplementary design of 6-(25,11,6156) (# 13180) with respect to smaller t
- derived from supplementary of 6-(26,12,20520) (# 13185)
- residual design of 6-(26,11,7296) (# 13396)
- residual design of supplementary of 6-(26,11,8208) (# 13398)

created: Fri Oct 23 11:09:38 CEST 2009