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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C6

Direct product G=N×Q with N=C2×C12 and Q=C6
dρLabelID
C2×C6×C12144C2xC6xC12144,178

Semidirect products G=N:Q with N=C2×C12 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C6 = C3×D6⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12):1C6144,79
(C2×C12)⋊2C6 = C32×C22⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12):2C6144,102
(C2×C12)⋊3C6 = C6×D12φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12):3C6144,160
(C2×C12)⋊4C6 = C3×C4○D12φ: C6/C3 → C2 ⊆ Aut C2×C12242(C2xC12):4C6144,161
(C2×C12)⋊5C6 = S3×C2×C12φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12):5C6144,159
(C2×C12)⋊6C6 = D4×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12):6C6144,179
(C2×C12)⋊7C6 = C32×C4○D4φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12):7C6144,181

Non-split extensions G=N.Q with N=C2×C12 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C6 = C9×C22⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12).1C6144,21
(C2×C12).2C6 = C9×C4⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C12144(C2xC12).2C6144,22
(C2×C12).3C6 = C3×Dic3⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12).3C6144,77
(C2×C12).4C6 = C3×C4⋊Dic3φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12).4C6144,78
(C2×C12).5C6 = C6×Dic6φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12).5C6144,158
(C2×C12).6C6 = C3×C4.Dic3φ: C6/C3 → C2 ⊆ Aut C2×C12242(C2xC12).6C6144,75
(C2×C12).7C6 = C6×C3⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12).7C6144,74
(C2×C12).8C6 = Dic3×C12φ: C6/C3 → C2 ⊆ Aut C2×C1248(C2xC12).8C6144,76
(C2×C12).9C6 = C9×M4(2)φ: C6/C3 → C2 ⊆ Aut C2×C12722(C2xC12).9C6144,24
(C2×C12).10C6 = D4×C18φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12).10C6144,48
(C2×C12).11C6 = Q8×C18φ: C6/C3 → C2 ⊆ Aut C2×C12144(C2xC12).11C6144,49
(C2×C12).12C6 = C9×C4○D4φ: C6/C3 → C2 ⊆ Aut C2×C12722(C2xC12).12C6144,50
(C2×C12).13C6 = C32×C4⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C12144(C2xC12).13C6144,103
(C2×C12).14C6 = C32×M4(2)φ: C6/C3 → C2 ⊆ Aut C2×C1272(C2xC12).14C6144,105
(C2×C12).15C6 = Q8×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C12144(C2xC12).15C6144,180

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