# 900: 5-(19,10,1512)

- clan: 7-(20,10,216), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,756) (# 898)

- clan: 7-(20,10,218), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,218), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,763) (# 901)
- Tran van Trung construction (right) for 5-(19,9,763) (# 901) : der= 5-(19,9,763) and res= 5-(19,10,1526) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1526) (# 903) : der= 5-(19,9,763) and res= 5-(19,10,1526) - the given design is the residual.

- clan: 7-(20,10,218), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,763) (# 901)

- clan: 11-(24,12,10), 1 times reduced t, 3 times derived, 2 times residual
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 11-(24,12,10), 2 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(19,9,770) (# 904)
- Tran van Trung construction (right) for 5-(19,9,770) (# 904) : der= 5-(19,9,770) and res= 5-(19,10,1540) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1540) (# 906) : der= 5-(19,9,770) and res= 5-(19,10,1540) - the given design is the residual.
- residual design of supplementary of 6-(21,10,315) (# 13128)
- derived from supplementary of 6-(21,11,693) (# 13129)
- residual design of 6-(21,10,1050) (# 13131)
- derived from 6-(21,11,2310) (# 13132)

- clan: 11-(24,12,10), 1 times reduced t, 2 times derived, 3 times residual
- complementary design of 5-(19,9,770) (# 904)

- clan: 7-(20,10,222), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,222), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,777) (# 907)
- Tran van Trung construction (right) for 5-(19,9,777) (# 907) : der= 5-(19,9,777) and res= 5-(19,10,1554) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1554) (# 909) : der= 5-(19,9,777) and res= 5-(19,10,1554) - the given design is the residual.

- clan: 7-(20,10,222), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,777) (# 907)

- clan: 7-(20,10,224), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,224), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,784) (# 910)
- Tran van Trung construction (right) for 5-(19,9,784) (# 910) : der= 5-(19,9,784) and res= 5-(19,10,1568) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1568) (# 912) : der= 5-(19,9,784) and res= 5-(19,10,1568) - the given design is the residual.

- clan: 7-(20,10,224), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,784) (# 910)

- clan: 7-(20,10,226), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,226), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,791) (# 913)
- Tran van Trung construction (right) for 5-(19,9,791) (# 913) : der= 5-(19,9,791) and res= 5-(19,10,1582) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1582) (# 915) : der= 5-(19,9,791) and res= 5-(19,10,1582) - the given design is the residual.

- clan: 7-(20,10,226), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,791) (# 913)

- clan: 7-(20,10,228), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,228), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,798) (# 916)
- Tran van Trung construction (right) for 5-(19,9,798) (# 916) : der= 5-(19,9,798) and res= 5-(19,10,1596) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1596) (# 918) : der= 5-(19,9,798) and res= 5-(19,10,1596) - the given design is the residual.

- clan: 7-(20,10,228), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,798) (# 916)

- clan: 7-(20,10,230), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,230), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,805) (# 919)
- Tran van Trung construction (right) for 5-(19,9,805) (# 919) : der= 5-(19,9,805) and res= 5-(19,10,1610) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1610) (# 921) : der= 5-(19,9,805) and res= 5-(19,10,1610) - the given design is the residual.

- clan: 7-(20,10,230), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,805) (# 919)

- clan: 7-(20,10,238), 1 times reduced t, 1 times derived
- $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

- clan: 7-(20,10,238), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(19,9,833) (# 922)
- Tran van Trung construction (right) for 5-(19,9,833) (# 922) : der= 5-(19,9,833) and res= 5-(19,10,1666) - the given design is the derived.
- Tran van Trung construction (left) for 5-(19,10,1666) (# 924) : der= 5-(19,9,833) and res= 5-(19,10,1666) - the given design is the residual.

- clan: 7-(20,10,238), 1 times reduced t, 1 times residual
- complementary design of 5-(19,9,833) (# 922)

- clan: 7-(20,10,12), 2 times reduced t
- \cite{Krameretal85} $PSL(2,19)$ 2 isomorphism types

- clan: 7-(20,10,18), 2 times reduced t
- \cite{Krameretal85}

- clan: 7-(20,10,20), 2 times reduced t
- \cite{Krameretal85} $PSL(2,19)$ 101 isomorphism types

- clan: 11-(24,12,1), 2 times reduced t, 2 times derived, 2 times residual
- \cite{Krameretal85} $PSL(2,19)$ 56 isomorphism types

- clan: 7-(20,10,24), 2 times reduced t
- \cite{Krameretal85} $PGL(2,19)$ 6 isomorphism types

- clan: 9-(20,10,1), 4 times reduced t
- \cite{Krameretal85} $PSL(2,19)$ 818 isomorphism types

- clan: 7-(20,10,28), 2 times reduced t
- \cite{Krameretal85}

- clan: 7-(20,10,34), 2 times reduced t
- \cite{Krameretal85} $PGL(2,19)$ 25 isomorphism types

- clan: 11-(24,12,3), 2 times reduced t, 4 times derived
- \cite{Krameretal85} $PGL(2,19)$ 64 isomorphism types

- clan: 11-(24,12,3), 3 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(20,8,105) (# 933) : der= 5-(20,8,105) and res= 5-(20,9,315) - the given design is the derived.

- clan: 11-(24,12,3), 4 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(21,9,420) (# 934) : der= 5-(21,9,420) and res= 5-(21,10,1008) - the given design is the derived.
- \cite{Kreher95} $PGL(2,19)++$

- clan: 11-(24,12,3), 5 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1428) (# 935) : der= 5-(22,10,1428) and res= 5-(22,11,2856) - the given design is the derived.

- clan: 11-(24,12,3), 6 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,4284) (# 936)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- \cite{Bluskov}

- clan: 11-(24,12,1), 2 times reduced t, 4 times derived
- \cite{Krameretal85} $PSL(2,19)$ 5 isomorphism types

- clan: 11-(24,12,2), 2 times reduced t, 4 times derived
- \cite{Krameretal85} $PGL(2,19)$ 3 isomorphism types

- clan: 11-(24,12,2), 3 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(20,8,70) (# 939) : der= 5-(20,8,70) and res= 5-(20,9,210) - the given design is the derived.

- clan: 11-(24,12,2), 4 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(21,9,280) (# 940) : der= 5-(21,9,280) and res= 5-(21,10,672) - the given design is the derived.
- \cite{Kreher95}

- clan: 11-(24,12,2), 5 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,952) (# 941) : der= 5-(22,10,952) and res= 5-(22,11,1904) - the given design is the derived.

- clan: 11-(24,12,2), 6 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,2856) (# 942)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(24,12,1), 2 times reduced t, 3 times derived, 1 times residual
- \cite{Krameretal85} $PGL(2,19)$ 1 isomorphism type

- clan: 11-(24,12,1), 3 times reduced t, 3 times derived
- Tran van Trung construction (left) for 5-(20,9,105) (# 944) : der= 5-(20,8,35) and res= 5-(20,9,105) - the given design is the residual.

- clan: 11-(24,12,1), 3 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(20,9,105) (# 944) : der= 5-(20,9,105) and res= 5-(20,10,231) - the given design is the derived.
- $P\Sigma L(3,4)$ 1 isomorphism type \cite{Schmalz}
- \cite{Kramer84} $PSL(2,19)+$ 9040 solutions

- clan: 11-(24,12,1), 4 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(21,9,140) (# 945) : der= 5-(21,9,140) and res= 5-(21,10,336) - the given design is the derived.
- Tran van Trung construction (left) for 5-(21,10,336) (# 946) : der= 5-(21,9,140) and res= 5-(21,10,336) - the given design is the residual.
- \cite{Kreher95} $PGL(2,19)++$ 10 solutions

- clan: 11-(24,12,1), 3 times reduced t, 1 times derived, 2 times residual
- complementary design of 5-(21,10,336) (# 946)

- clan: 11-(24,12,1), 5 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,476) (# 947) : der= 5-(22,10,476) and res= 5-(22,11,952) - the given design is the derived.

- clan: 11-(24,12,1), 6 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,1428) (# 949)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- \cite{Bluskov}

- clan: 8-(24,12,630), 2 times derived, 1 times residual
- $PGL(2,19)+$
- derived from 6-(22,11,1512) (# 8705)

- clan: 8-(24,12,630), 1 times derived, 2 times residual
- complementary design of 5-(21,10,1512) (# 951)
- residual design of 6-(22,11,1512) (# 8705)

- clan: 8-(24,12,770), 2 times derived, 1 times residual
- $PGL(2,19)+$
- derived from 6-(22,11,1848) (# 8709)

- clan: 8-(24,12,770), 1 times derived, 2 times residual
- complementary design of 5-(21,10,1848) (# 953)
- residual design of 6-(22,11,1848) (# 8709)

- clan: 14-(30,15,8), 5 times derived, 4 times residual
- $PSL(3,2)\times S_3$ Halving of the complete design
- derived from 6-(22,11,2184) (# 956)
- derived from supplementary of 6-(22,11,2184) (# 956)

- clan: 14-(30,15,8), 4 times derived, 4 times residual
- Alltop construction for design 5-(21,10,2184) (# 955)

- clan: 14-(30,15,8), 4 times derived, 5 times residual
- complementary design of 5-(21,10,2184) (# 955)
- residual design of 6-(22,11,2184) (# 956)
- residual design of supplementary of 6-(22,11,2184) (# 956)

- clan: 11-(24,12,7), 3 times reduced t, 2 times derived, 1 times residual
- $PGL(2,19)+$
- residual design of supplementary of 6-(22,10,840) (# 8696)
- derived from supplementary of 6-(22,11,2016) (# 8713)
- supplementary design of 6-(21,10,630) (# 13138) with respect to smaller t
- derived from 6-(22,11,2352) (# 13140)
- design 6-(21,10,735) (# 13141) with respect to smaller t
- Tran van Trung construction (right) for 5-(20,9,735) (# 13143) : der= 5-(20,9,735) and res= 5-(20,10,1617) - the given design is the derived.

- clan: 11-(24,12,7), 3 times reduced t, 1 times derived, 2 times residual
- complementary design of 5-(21,10,2352) (# 958)
- residual design of supplementary of 6-(22,11,2016) (# 8713)
- supplementary design of 6-(21,11,1386) (# 13139) with respect to smaller t
- residual design of 6-(22,11,2352) (# 13140)
- design 6-(21,11,1617) (# 13142) with respect to smaller t
- Tran van Trung construction (left) for 5-(20,11,2695) (# 13145) : der= 5-(20,10,1617) and res= 5-(20,11,2695) - the given design is the residual.

- clan: 8-(24,12,350), 2 times derived, 1 times residual
- $PGL(2,19)+$
- residual design of 6-(22,10,350) (# 8685)
- derived from 6-(22,11,840) (# 8726)

- clan: 8-(24,12,350), 1 times derived, 2 times residual
- complementary design of 5-(21,10,840) (# 960)
- residual design of 6-(22,11,840) (# 8726)

- clan: 6-(22,7,4), 1 times derived
- $Hol(C_{21})$

- clan: 14-(30,15,8), 6 times derived, 3 times residual
- $LS[2](5,9,21)$ $PSL(2,9)$
- $P\Gamma L(2,9)xid_2+$ Halving of the complete design
- residual design of 6-(22,9,280) (# 8766)
- residual design of supplementary of 6-(22,9,280) (# 8766)

- clan: 14-(30,15,8), 1 times reduced t, 5 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(21,9,910) (# 963) : der= 5-(21,9,910) and res= 5-(21,10,2184) - the given design is the derived.
- residual design of 6-(23,10,1190) (# 13209)
- residual design of supplementary of 6-(23,10,1190) (# 13209)

- clan: 14-(30,15,8), 2 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,10,3094) (# 964) : der= 5-(22,10,3094) and res= 5-(22,11,6188) - the given design is the derived.
- derived from 6-(24,12,9282) (# 967)
- derived from supplementary of 6-(24,12,9282) (# 967)

- clan: 14-(30,15,8), 3 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(23,11,9282) (# 965)
- design 6-(24,12,9282) (# 967) with respect to smaller t
- supplementary design of 6-(24,12,9282) (# 967) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,15912) (# 968) : der= 5-(23,11,9282) and res= 5-(23,12,15912) - the given design is the residual.
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 14-(30,15,8), 2 times reduced t, 3 times derived, 3 times residual
- Alltop construction for design 5-(23,11,9282) (# 965)
- PSL(2,23) (many isom. types) Halving of the complete design

- clan: 14-(30,15,8), 2 times reduced t, 3 times derived, 4 times residual
- residual design of 6-(24,12,9282) (# 967)
- residual design of supplementary of 6-(24,12,9282) (# 967)

- clan: 8-(24,12,630), 3 times derived
- $PSL(3,2)\times S_3$

- clan: 8-(24,12,630), 1 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(21,9,630) (# 969) : der= 5-(21,9,630) and res= 5-(21,10,1512) - the given design is the derived.
- derived from 6-(23,11,2142) (# 9343)
- derived from supplementary of 6-(23,11,4046) (# 9353)

- clan: 8-(24,12,630), 2 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,2142) (# 970) : der= 5-(22,10,2142) and res= 5-(22,11,4284) - the given design is the derived.
- design 6-(23,11,2142) (# 9343) with respect to smaller t
- derived from 6-(24,12,6426) (# 9344)
- derived from supplementary of 6-(24,12,12138) (# 9352)
- supplementary design of 6-(23,11,4046) (# 9353) with respect to smaller t

- clan: 8-(24,12,630), 3 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,6426) (# 971)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- \cite{Bluskov}
- design 6-(24,12,6426) (# 9344) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,11016) (# 9348) : der= 5-(23,11,6426) and res= 5-(23,12,11016) - the given design is the residual.
- supplementary design of 6-(24,12,12138) (# 9352) with respect to smaller t

- clan: 7-(24,12,1008), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,1008) (# 8821)
- derived from supplementary of 6-(23,11,5180) (# 8832)

- clan: 7-(24,12,1008), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1008) (# 973) : der= 5-(22,10,1008) and res= 5-(22,11,2016) - the given design is the derived.
- design 6-(23,11,1008) (# 8821) with respect to smaller t
- derived from 6-(24,12,3024) (# 8822)
- derived from supplementary of 6-(24,12,15540) (# 8831)
- supplementary design of 6-(23,11,5180) (# 8832) with respect to smaller t

- clan: 7-(24,12,1008), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3024) (# 974)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3024) (# 8822) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,5184) (# 8828) : der= 5-(23,11,3024) and res= 5-(23,12,5184) - the given design is the residual.
- supplementary design of 6-(24,12,15540) (# 8831) with respect to smaller t

- clan: 7-(24,12,1022), 2 times derived
- $PGL(2,19)++$
- derived from 6-(23,11,1022) (# 8837)
- derived from supplementary of 6-(23,11,5166) (# 8848)

- clan: 7-(24,12,1022), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1022) (# 976) : der= 5-(22,10,1022) and res= 5-(22,11,2044) - the given design is the derived.
- design 6-(23,11,1022) (# 8837) with respect to smaller t
- derived from 6-(24,12,3066) (# 8838)
- derived from supplementary of 6-(24,12,15498) (# 8847)
- supplementary design of 6-(23,11,5166) (# 8848) with respect to smaller t

- clan: 7-(24,12,1022), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3066) (# 977)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3066) (# 8838) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,5256) (# 8844) : der= 5-(23,11,3066) and res= 5-(23,12,5256) - the given design is the residual.
- supplementary design of 6-(24,12,15498) (# 8847) with respect to smaller t

- clan: 7-(24,12,1050), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,1050), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1050) (# 979) : der= 5-(22,10,1050) and res= 5-(22,11,2100) - the given design is the derived.

- clan: 7-(24,12,1050), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3150) (# 980)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 15-(32,16,3), 6 times derived, 4 times residual
- $M_{11}\times C_2$, 250 solutions
- residual design of 6-(23,10,420) (# 8775)
- derived from 6-(23,11,1092) (# 8853)
- derived from supplementary of 6-(23,11,5096) (# 8865)

- clan: 15-(32,16,3), 1 times reduced t, 5 times derived, 4 times residual
- Tran van Trung construction (right) for 5-(22,10,1092) (# 982) : der= 5-(22,10,1092) and res= 5-(22,11,2184) - the given design is the derived.
- design 6-(23,11,1092) (# 8853) with respect to smaller t
- derived from 6-(24,12,3276) (# 8854)
- residual design of 6-(24,11,1512) (# 8858)
- derived from supplementary of 6-(24,12,15288) (# 8864)
- supplementary design of 6-(23,11,5096) (# 8865) with respect to smaller t

- clan: 15-(32,16,3), 2 times reduced t, 4 times derived, 4 times residual
- Tran van Trung construction with complementary design for 5-(23,11,3276) (# 983)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3276) (# 8854) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,5616) (# 8859) : der= 5-(23,11,3276) and res= 5-(23,12,5616) - the given design is the residual.
- residual design of 6-(25,12,4788) (# 8862)
- supplementary design of 6-(24,12,15288) (# 8864) with respect to smaller t
- derived from 6-(25,13,8892) (# 8877)
- residual design of supplementary of 6-(25,12,22344) (# 8879)
- derived from supplementary of 6-(25,13,41496) (# 8880)

- clan: 7-(24,12,1148), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,1148) (# 8884)
- derived from supplementary of 6-(23,11,5040) (# 8895)

- clan: 7-(24,12,1148), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1148) (# 985) : der= 5-(22,10,1148) and res= 5-(22,11,2296) - the given design is the derived.
- design 6-(23,11,1148) (# 8884) with respect to smaller t
- derived from 6-(24,12,3444) (# 8885)
- derived from supplementary of 6-(24,12,15120) (# 8894)
- supplementary design of 6-(23,11,5040) (# 8895) with respect to smaller t

- clan: 7-(24,12,1148), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3444) (# 986)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3444) (# 8885) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,5904) (# 8890) : der= 5-(23,11,3444) and res= 5-(23,12,5904) - the given design is the residual.
- supplementary design of 6-(24,12,15120) (# 8894) with respect to smaller t

- clan: 7-(24,12,1176), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,1176), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1176) (# 988) : der= 5-(22,10,1176) and res= 5-(22,11,2352) - the given design is the derived.

- clan: 7-(24,12,1176), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3528) (# 989)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,1232), 2 times derived
- $P\Gamma L(2,9)\times C_2 + C_2$

- clan: 7-(24,12,1232), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1232) (# 991) : der= 5-(22,10,1232) and res= 5-(22,11,2464) - the given design is the derived.

- clan: 7-(24,12,1232), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3696) (# 992)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

- clan: 7-(24,12,1260), 2 times derived
- $PGL(2,19)++$
- $P\Gamma L(2,9)\times C_2 + C_2$
- derived from 6-(23,11,1260) (# 8918)
- derived from supplementary of 6-(23,11,4928) (# 8929)

- clan: 7-(24,12,1260), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1260) (# 994) : der= 5-(22,10,1260) and res= 5-(22,11,2520) - the given design is the derived.
- design 6-(23,11,1260) (# 8918) with respect to smaller t
- derived from 6-(24,12,3780) (# 8919)
- derived from supplementary of 6-(24,12,14784) (# 8928)
- supplementary design of 6-(23,11,4928) (# 8929) with respect to smaller t

- clan: 7-(24,12,1260), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3780) (# 995)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,12,3780) (# 8919) with respect to smaller t
- Tran van Trung construction (left) for 5-(23,12,6480) (# 8924) : der= 5-(23,11,3780) and res= 5-(23,12,6480) - the given design is the residual.
- supplementary design of 6-(24,12,14784) (# 8928) with respect to smaller t

- clan: 7-(24,12,1302), 2 times derived
- $PGL(2,19)++$

- clan: 7-(24,12,1302), 1 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(22,10,1302) (# 997) : der= 5-(22,10,1302) and res= 5-(22,11,2604) - the given design is the derived.

- clan: 7-(24,12,1302), 2 times reduced t
- Tran van Trung construction with complementary design for 5-(23,11,3906) (# 998)
- $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:36 CEST 2009