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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C18

Direct product G=N×Q with N=C2×C12 and Q=C18
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C2×C12 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C18 = C9×D6⋊C4φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12):1C18432,135
(C2×C12)⋊2C18 = C22⋊C4×C3×C9φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12):2C18432,203
(C2×C12)⋊3C18 = C18×D12φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12):3C18432,346
(C2×C12)⋊4C18 = C9×C4○D12φ: C18/C9 → C2 ⊆ Aut C2×C12722(C2xC12):4C18432,347
(C2×C12)⋊5C18 = S3×C2×C36φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12):5C18432,345
(C2×C12)⋊6C18 = D4×C3×C18φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12):6C18432,403
(C2×C12)⋊7C18 = C4○D4×C3×C9φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12):7C18432,409

Non-split extensions G=N.Q with N=C2×C12 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C18 = C22⋊C4×C27φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12).1C18432,21
(C2×C12).2C18 = C9×Dic3⋊C4φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12).2C18432,132
(C2×C12).3C18 = C9×C4⋊Dic3φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12).3C18432,133
(C2×C12).4C18 = C18×Dic6φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12).4C18432,341
(C2×C12).5C18 = C9×C4.Dic3φ: C18/C9 → C2 ⊆ Aut C2×C12722(C2xC12).5C18432,127
(C2×C12).6C18 = C18×C3⋊C8φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12).6C18432,126
(C2×C12).7C18 = Dic3×C36φ: C18/C9 → C2 ⊆ Aut C2×C12144(C2xC12).7C18432,131
(C2×C12).8C18 = C4⋊C4×C27φ: C18/C9 → C2 ⊆ Aut C2×C12432(C2xC12).8C18432,22
(C2×C12).9C18 = M4(2)×C27φ: C18/C9 → C2 ⊆ Aut C2×C122162(C2xC12).9C18432,24
(C2×C12).10C18 = D4×C54φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12).10C18432,54
(C2×C12).11C18 = Q8×C54φ: C18/C9 → C2 ⊆ Aut C2×C12432(C2xC12).11C18432,55
(C2×C12).12C18 = C4○D4×C27φ: C18/C9 → C2 ⊆ Aut C2×C122162(C2xC12).12C18432,56
(C2×C12).13C18 = C4⋊C4×C3×C9φ: C18/C9 → C2 ⊆ Aut C2×C12432(C2xC12).13C18432,206
(C2×C12).14C18 = M4(2)×C3×C9φ: C18/C9 → C2 ⊆ Aut C2×C12216(C2xC12).14C18432,212
(C2×C12).15C18 = Q8×C3×C18φ: C18/C9 → C2 ⊆ Aut C2×C12432(C2xC12).15C18432,406

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