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Extensions 1→N→G→Q→1 with N=C4×C12 and Q=C2

Direct product G=N×Q with N=C4×C12 and Q=C2
dρLabelID
C2×C4×C1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C4×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C12)⋊1C2 = C42⋊3S3φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):1C296,83
(C4×C12)⋊2C2 = C3×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):2C296,164
(C4×C12)⋊3C2 = C3×C42⋊2C2φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):3C296,173
(C4×C12)⋊4C2 = C4⋊D12φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):4C296,81
(C4×C12)⋊5C2 = C42⋊7S3φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):5C296,82
(C4×C12)⋊6C2 = C42⋊4S3φ: C2/C1 → C2 ⊆ Aut C4×C12242(C4xC12):6C296,12
(C4×C12)⋊7C2 = C4×D12φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):7C296,80
(C4×C12)⋊8C2 = S3×C42φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):8C296,78
(C4×C12)⋊9C2 = C42⋊2S3φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):9C296,79
(C4×C12)⋊10C2 = C3×C4≀C2φ: C2/C1 → C2 ⊆ Aut C4×C12242(C4xC12):10C296,54
(C4×C12)⋊11C2 = D4×C12φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):11C296,165
(C4×C12)⋊12C2 = C3×C4.4D4φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):12C296,171
(C4×C12)⋊13C2 = C3×C4⋊1D4φ: C2/C1 → C2 ⊆ Aut C4×C1248(C4xC12):13C296,174

Non-split extensions G=N.Q with N=C4×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C12).1C2 = C3×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).1C296,47
(C4×C12).2C2 = C12⋊2Q8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).2C296,76
(C4×C12).3C2 = C12.6Q8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).3C296,77
(C4×C12).4C2 = C12⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).4C296,11
(C4×C12).5C2 = C4×Dic6φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).5C296,75
(C4×C12).6C2 = C4×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).6C296,9
(C4×C12).7C2 = C42.S3φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).7C296,10
(C4×C12).8C2 = C3×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).8C296,55
(C4×C12).9C2 = Q8×C12φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).9C296,166
(C4×C12).10C2 = C3×C42.C2φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).10C296,172
(C4×C12).11C2 = C3×C4⋊Q8φ: C2/C1 → C2 ⊆ Aut C4×C1296(C4xC12).11C296,175

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