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

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

Semidirect products G=N:Q with N=C6×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C12)⋊1C2 = C3×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12):1C2144,79
(C6×C12)⋊2C2 = C6.11D12φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):2C2144,95
(C6×C12)⋊3C2 = C32×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):3C2144,102
(C6×C12)⋊4C2 = C2×C12⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):4C2144,170
(C6×C12)⋊5C2 = C12.59D6φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):5C2144,171
(C6×C12)⋊6C2 = C3×C4○D12φ: C2/C1 → C2 ⊆ Aut C6×C12242(C6xC12):6C2144,161
(C6×C12)⋊7C2 = C6×D12φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12):7C2144,160
(C6×C12)⋊8C2 = S3×C2×C12φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12):8C2144,159
(C6×C12)⋊9C2 = C2×C4×C3⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):9C2144,169
(C6×C12)⋊10C2 = D4×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):10C2144,179
(C6×C12)⋊11C2 = C32×C4○D4φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12):11C2144,181

Non-split extensions G=N.Q with N=C6×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C12).1C2 = C3×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12).1C2144,77
(C6×C12).2C2 = C6.Dic6φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).2C2144,93
(C6×C12).3C2 = C32×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).3C2144,103
(C6×C12).4C2 = C12⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).4C2144,94
(C6×C12).5C2 = C2×C32⋊4Q8φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).5C2144,168
(C6×C12).6C2 = C12.58D6φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12).6C2144,91
(C6×C12).7C2 = C3×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C6×C12242(C6xC12).7C2144,75
(C6×C12).8C2 = C3×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12).8C2144,78
(C6×C12).9C2 = C6×Dic6φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12).9C2144,158
(C6×C12).10C2 = C6×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12).10C2144,74
(C6×C12).11C2 = Dic3×C12φ: C2/C1 → C2 ⊆ Aut C6×C1248(C6xC12).11C2144,76
(C6×C12).12C2 = C2×C32⋊4C8φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).12C2144,90
(C6×C12).13C2 = C4×C3⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).13C2144,92
(C6×C12).14C2 = C32×M4(2)φ: C2/C1 → C2 ⊆ Aut C6×C1272(C6xC12).14C2144,105
(C6×C12).15C2 = Q8×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C12144(C6xC12).15C2144,180

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