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# t designs with small t, id ge 5200

# 5200: 5-(24,12,9930)

• clan: 17-(36,18,2), 12 times derived
• $PGL(2,11)\times C_2$ 1 isomorphism type, $PSL(2,11)\times C_2$ 611 solutions
• $PGL(2,23)$ 6 isomorphism types, $PSL(2,23)$ 38 isomorphism types

• clan: 5-(24,8,1)
• \cite{Witt38} $M_{24}$ 1 isomorphism type

• clan: 5-(24,8,101)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,103)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,106)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,107)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,109)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,110)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,113)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,115)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,118)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,121)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,122)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:08 CEST 2009

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