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Extensions 1→N→G→Q→1 with N=C12 and Q=C3×Q8

Direct product G=N×Q with N=C12 and Q=C3×Q8
dρLabelID
Q8×C3×C12288Q8xC3xC12288,816

Semidirect products G=N:Q with N=C12 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C12⋊(C3×Q8) = C3×C12⋊Q8φ: C3×Q8/C6 → C22 ⊆ Aut C1296C12:(C3xQ8)288,659
C12⋊2(C3×Q8) = C3×C12⋊2Q8φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12:2(C3xQ8)288,640
C12⋊3(C3×Q8) = C12×Dic6φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12:3(C3xQ8)288,639
C12⋊4(C3×Q8) = C32×C4⋊Q8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12:4(C3xQ8)288,825

Non-split extensions G=N.Q with N=C12 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C12.1(C3×Q8) = C3×C6.Q16φ: C3×Q8/C6 → C22 ⊆ Aut C1296C12.1(C3xQ8)288,241
C12.2(C3×Q8) = C3×C12.Q8φ: C3×Q8/C6 → C22 ⊆ Aut C1296C12.2(C3xQ8)288,242
C12.3(C3×Q8) = C3×C4.Dic6φ: C3×Q8/C6 → C22 ⊆ Aut C1296C12.3(C3xQ8)288,661
C12.4(C3×Q8) = C3×C8⋊Dic3φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12.4(C3xQ8)288,251
C12.5(C3×Q8) = C3×C24⋊1C4φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12.5(C3xQ8)288,252
C12.6(C3×Q8) = C3×C12.6Q8φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12.6(C3xQ8)288,641
C12.7(C3×Q8) = C3×C12⋊C8φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12.7(C3xQ8)288,238
C12.8(C3×Q8) = C3×Dic3⋊C8φ: C3×Q8/C12 → C2 ⊆ Aut C1296C12.8(C3xQ8)288,248
C12.9(C3×Q8) = C9×C4.Q8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.9(C3xQ8)288,56
C12.10(C3×Q8) = C9×C2.D8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.10(C3xQ8)288,57
C12.11(C3×Q8) = C9×C42.C2φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.11(C3xQ8)288,175
C12.12(C3×Q8) = C9×C4⋊Q8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.12(C3xQ8)288,178
C12.13(C3×Q8) = C32×C4.Q8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.13(C3xQ8)288,324
C12.14(C3×Q8) = C32×C2.D8φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.14(C3xQ8)288,325
C12.15(C3×Q8) = C32×C42.C2φ: C3×Q8/C12 → C2 ⊆ Aut C12288C12.15(C3xQ8)288,822
C12.16(C3×Q8) = C9×C4⋊C8central extension (φ=1)288C12.16(C3xQ8)288,55
C12.17(C3×Q8) = Q8×C36central extension (φ=1)288C12.17(C3xQ8)288,169
C12.18(C3×Q8) = C32×C4⋊C8central extension (φ=1)288C12.18(C3xQ8)288,323

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