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

Direct product G=N×Q with N=C3×C12 and Q=C8
dρLabelID
C12×C24288C12xC24288,314

Semidirect products G=N:Q with N=C3×C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1C8 = C4×F9φ: C8/C1 → C8 ⊆ Aut C3×C12368(C3xC12):1C8288,863
(C3×C12)⋊2C8 = C4⋊F9φ: C8/C1 → C8 ⊆ Aut C3×C12368(C3xC12):2C8288,864
(C3×C12)⋊3C8 = C4×C32⋊2C8φ: C8/C2 → C4 ⊆ Aut C3×C1296(C3xC12):3C8288,423
(C3×C12)⋊4C8 = (C3×C12)⋊4C8φ: C8/C2 → C4 ⊆ Aut C3×C1296(C3xC12):4C8288,424
(C3×C12)⋊5C8 = C12.57D12φ: C8/C4 → C2 ⊆ Aut C3×C12288(C3xC12):5C8288,279
(C3×C12)⋊6C8 = C3×C12⋊C8φ: C8/C4 → C2 ⊆ Aut C3×C1296(C3xC12):6C8288,238
(C3×C12)⋊7C8 = C12×C3⋊C8φ: C8/C4 → C2 ⊆ Aut C3×C1296(C3xC12):7C8288,236
(C3×C12)⋊8C8 = C4×C32⋊4C8φ: C8/C4 → C2 ⊆ Aut C3×C12288(C3xC12):8C8288,277
(C3×C12)⋊9C8 = C32×C4⋊C8φ: C8/C4 → C2 ⊆ Aut C3×C12288(C3xC12):9C8288,323

Non-split extensions G=N.Q with N=C3×C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C3×C12).1C8 = C32⋊C32φ: C8/C1 → C8 ⊆ Aut C3×C12968(C3xC12).1C8288,373
(C3×C12).2C8 = C4.3F9φ: C8/C1 → C8 ⊆ Aut C3×C12488(C3xC12).2C8288,861
(C3×C12).3C8 = C4.F9φ: C8/C1 → C8 ⊆ Aut C3×C12488(C3xC12).3C8288,862
(C3×C12).4C8 = C32⋊2C32φ: C8/C2 → C4 ⊆ Aut C3×C12964(C3xC12).4C8288,188
(C3×C12).5C8 = C2×C32⋊2C16φ: C8/C2 → C4 ⊆ Aut C3×C1296(C3xC12).5C8288,420
(C3×C12).6C8 = C62.4C8φ: C8/C2 → C4 ⊆ Aut C3×C12484(C3xC12).6C8288,421
(C3×C12).7C8 = C24.94D6φ: C8/C4 → C2 ⊆ Aut C3×C12144(C3xC12).7C8288,287
(C3×C12).8C8 = C3×C12.C8φ: C8/C4 → C2 ⊆ Aut C3×C12482(C3xC12).8C8288,246
(C3×C12).9C8 = C3×C3⋊C32φ: C8/C4 → C2 ⊆ Aut C3×C12962(C3xC12).9C8288,64
(C3×C12).10C8 = C48.S3φ: C8/C4 → C2 ⊆ Aut C3×C12288(C3xC12).10C8288,65
(C3×C12).11C8 = C6×C3⋊C16φ: C8/C4 → C2 ⊆ Aut C3×C1296(C3xC12).11C8288,245
(C3×C12).12C8 = C2×C24.S3φ: C8/C4 → C2 ⊆ Aut C3×C12288(C3xC12).12C8288,286
(C3×C12).13C8 = C32×M5(2)φ: C8/C4 → C2 ⊆ Aut C3×C12144(C3xC12).13C8288,328

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