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Extensions 1→N→G→Q→1 with N=C12 and Q=C3:C8

Direct product G=NxQ with N=C12 and Q=C3:C8
dρLabelID
C12xC3:C896C12xC3:C8288,236

Semidirect products G=N:Q with N=C12 and Q=C3:C8
extensionφ:Q→Aut NdρLabelID
C12:1(C3:C8) = C12.57D12φ: C3:C8/C12 → C2 ⊆ Aut C12288C12:1(C3:C8)288,279
C12:2(C3:C8) = C4xC32:4C8φ: C3:C8/C12 → C2 ⊆ Aut C12288C12:2(C3:C8)288,277
C12:3(C3:C8) = C3xC12:C8φ: C3:C8/C12 → C2 ⊆ Aut C1296C12:3(C3:C8)288,238

Non-split extensions G=N.Q with N=C12 and Q=C3:C8
extensionφ:Q→Aut NdρLabelID
C12.1(C3:C8) = C36:C8φ: C3:C8/C12 → C2 ⊆ Aut C12288C12.1(C3:C8)288,11
C12.2(C3:C8) = C36.C8φ: C3:C8/C12 → C2 ⊆ Aut C121442C12.2(C3:C8)288,19
C12.3(C3:C8) = C24.94D6φ: C3:C8/C12 → C2 ⊆ Aut C12144C12.3(C3:C8)288,287
C12.4(C3:C8) = C9:C32φ: C3:C8/C12 → C2 ⊆ Aut C122882C12.4(C3:C8)288,1
C12.5(C3:C8) = C4xC9:C8φ: C3:C8/C12 → C2 ⊆ Aut C12288C12.5(C3:C8)288,9
C12.6(C3:C8) = C2xC9:C16φ: C3:C8/C12 → C2 ⊆ Aut C12288C12.6(C3:C8)288,18
C12.7(C3:C8) = C48.S3φ: C3:C8/C12 → C2 ⊆ Aut C12288C12.7(C3:C8)288,65
C12.8(C3:C8) = C2xC24.S3φ: C3:C8/C12 → C2 ⊆ Aut C12288C12.8(C3:C8)288,286
C12.9(C3:C8) = C3xC12.C8φ: C3:C8/C12 → C2 ⊆ Aut C12482C12.9(C3:C8)288,246
C12.10(C3:C8) = C3xC3:C32central extension (φ=1)962C12.10(C3:C8)288,64
C12.11(C3:C8) = C6xC3:C16central extension (φ=1)96C12.11(C3:C8)288,245

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