Extensions 1→N→G→Q→1 with N=C6 and Q=M5(2)

Direct product G=NxQ with N=C6 and Q=M5(2)
dρLabelID
C6xM5(2)96C6xM5(2)192,936

Semidirect products G=N:Q with N=C6 and Q=M5(2)
extensionφ:Q→Aut NdρLabelID
C6:1M5(2) = C2xD6.C8φ: M5(2)/C16C2 ⊆ Aut C696C6:1M5(2)192,459
C6:2M5(2) = C2xC12.C8φ: M5(2)/C2xC8C2 ⊆ Aut C696C6:2M5(2)192,656

Non-split extensions G=N.Q with N=C6 and Q=M5(2)
extensionφ:Q→Aut NdρLabelID
C6.1M5(2) = Dic3:C16φ: M5(2)/C16C2 ⊆ Aut C6192C6.1M5(2)192,60
C6.2M5(2) = C48:10C4φ: M5(2)/C16C2 ⊆ Aut C6192C6.2M5(2)192,61
C6.3M5(2) = D6:C16φ: M5(2)/C16C2 ⊆ Aut C696C6.3M5(2)192,66
C6.4M5(2) = C24.C8φ: M5(2)/C2xC8C2 ⊆ Aut C6192C6.4M5(2)192,20
C6.5M5(2) = C12:C16φ: M5(2)/C2xC8C2 ⊆ Aut C6192C6.5M5(2)192,21
C6.6M5(2) = C24.98D4φ: M5(2)/C2xC8C2 ⊆ Aut C696C6.6M5(2)192,108
C6.7M5(2) = C3xC16:5C4central extension (φ=1)192C6.7M5(2)192,152
C6.8M5(2) = C3xC22:C16central extension (φ=1)96C6.8M5(2)192,154
C6.9M5(2) = C3xC4:C16central extension (φ=1)192C6.9M5(2)192,169

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