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# t designs with small t, id ge 5300

# 5300: 5-(24,8,124)
• clan: 5-(24,8,124)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,125)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,127)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,128)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• \cite{Driessen78} $M_{24}$ 1 isomorphism type

• clan: 5-(24,8,130)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,131)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,134)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,137)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,139)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,142)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,143)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,145)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,146)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,148)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,149)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,151)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,154)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,155)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,157)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,158)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,161)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,163)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,166)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,167)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,169)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,172)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,173)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,175)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,178)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,179)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,181)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,182)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,185)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,188)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,191)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,193)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,194)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,196)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,197)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,199)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,2)
• \cite{KramerMagliveras74}
• \cite{AssmusMattson66a} $PGL(2,23))$

• clan: 5-(24,8,202)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,203)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,205)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,206)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

• clan: 5-(24,8,208)
• ${\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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

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