# Extensions 1→N→G→Q→1 with N=S3×C2×C18 and Q=C2

Direct product G=N×Q with N=S3×C2×C18 and Q=C2
dρLabelID
S3×C22×C18144S3xC2^2xC18432,557

Semidirect products G=N:Q with N=S3×C2×C18 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C18)⋊1C2 = C18×D12φ: C2/C1C2 ⊆ Out S3×C2×C18144(S3xC2xC18):1C2432,346
(S3×C2×C18)⋊2C2 = S3×D4×C9φ: C2/C1C2 ⊆ Out S3×C2×C18724(S3xC2xC18):2C2432,358
(S3×C2×C18)⋊3C2 = C18×C3⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C1872(S3xC2xC18):3C2432,375
(S3×C2×C18)⋊4C2 = C2×D6⋊D9φ: C2/C1C2 ⊆ Out S3×C2×C18144(S3xC2xC18):4C2432,311
(S3×C2×C18)⋊5C2 = C2×C9⋊D12φ: C2/C1C2 ⊆ Out S3×C2×C1872(S3xC2xC18):5C2432,312
(S3×C2×C18)⋊6C2 = S3×C9⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C18724(S3xC2xC18):6C2432,313
(S3×C2×C18)⋊7C2 = C22×S3×D9φ: C2/C1C2 ⊆ Out S3×C2×C1872(S3xC2xC18):7C2432,544

Non-split extensions G=N.Q with N=S3×C2×C18 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C18).1C2 = C9×D6⋊C4φ: C2/C1C2 ⊆ Out S3×C2×C18144(S3xC2xC18).1C2432,135
(S3×C2×C18).2C2 = D6⋊Dic9φ: C2/C1C2 ⊆ Out S3×C2×C18144(S3xC2xC18).2C2432,93
(S3×C2×C18).3C2 = C2×S3×Dic9φ: C2/C1C2 ⊆ Out S3×C2×C18144(S3xC2xC18).3C2432,308
(S3×C2×C18).4C2 = S3×C2×C36φ: trivial image144(S3xC2xC18).4C2432,345

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