# Extensions 1→N→G→Q→1 with N=C2×C6×D9 and Q=C2

Direct product G=N×Q with N=C2×C6×D9 and Q=C2
dρLabelID
D9×C22×C6144D9xC2^2xC6432,556

Semidirect products G=N:Q with N=C2×C6×D9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×D9)⋊1C2 = C2×C3⋊D36φ: C2/C1C2 ⊆ Out C2×C6×D972(C2xC6xD9):1C2432,307
(C2×C6×D9)⋊2C2 = C2×D6⋊D9φ: C2/C1C2 ⊆ Out C2×C6×D9144(C2xC6xD9):2C2432,311
(C2×C6×D9)⋊3C2 = D9×C3⋊D4φ: C2/C1C2 ⊆ Out C2×C6×D9724(C2xC6xD9):3C2432,314
(C2×C6×D9)⋊4C2 = C6×D36φ: C2/C1C2 ⊆ Out C2×C6×D9144(C2xC6xD9):4C2432,343
(C2×C6×D9)⋊5C2 = C3×D4×D9φ: C2/C1C2 ⊆ Out C2×C6×D9724(C2xC6xD9):5C2432,356
(C2×C6×D9)⋊6C2 = C6×C9⋊D4φ: C2/C1C2 ⊆ Out C2×C6×D972(C2xC6xD9):6C2432,374
(C2×C6×D9)⋊7C2 = C22×S3×D9φ: C2/C1C2 ⊆ Out C2×C6×D972(C2xC6xD9):7C2432,544

Non-split extensions G=N.Q with N=C2×C6×D9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×D9).1C2 = D18⋊Dic3φ: C2/C1C2 ⊆ Out C2×C6×D9144(C2xC6xD9).1C2432,91
(C2×C6×D9).2C2 = C3×D18⋊C4φ: C2/C1C2 ⊆ Out C2×C6×D9144(C2xC6xD9).2C2432,134
(C2×C6×D9).3C2 = C2×Dic3×D9φ: C2/C1C2 ⊆ Out C2×C6×D9144(C2xC6xD9).3C2432,304
(C2×C6×D9).4C2 = D9×C2×C12φ: trivial image144(C2xC6xD9).4C2432,342

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