Extensions 1→N→G→Q→1 with N=C2×C6×C18 and Q=C2

Direct product G=N×Q with N=C2×C6×C18 and Q=C2
dρLabelID
C22×C6×C18432C2^2xC6xC18432,562

Semidirect products G=N:Q with N=C2×C6×C18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C6×C18)⋊1C2 = C18×C3⋊D4φ: C2/C1C2 ⊆ Aut C2×C6×C1872(C2xC6xC18):1C2432,375
(C2×C6×C18)⋊2C2 = D4×C3×C18φ: C2/C1C2 ⊆ Aut C2×C6×C18216(C2xC6xC18):2C2432,403
(C2×C6×C18)⋊3C2 = S3×C22×C18φ: C2/C1C2 ⊆ Aut C2×C6×C18144(C2xC6xC18):3C2432,557
(C2×C6×C18)⋊4C2 = C6×C9⋊D4φ: C2/C1C2 ⊆ Aut C2×C6×C1872(C2xC6xC18):4C2432,374
(C2×C6×C18)⋊5C2 = C2×C6.D18φ: C2/C1C2 ⊆ Aut C2×C6×C18216(C2xC6xC18):5C2432,397
(C2×C6×C18)⋊6C2 = D9×C22×C6φ: C2/C1C2 ⊆ Aut C2×C6×C18144(C2xC6xC18):6C2432,556
(C2×C6×C18)⋊7C2 = C23×C9⋊S3φ: C2/C1C2 ⊆ Aut C2×C6×C18216(C2xC6xC18):7C2432,560

Non-split extensions G=N.Q with N=C2×C6×C18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C6×C18).1C2 = C9×C6.D4φ: C2/C1C2 ⊆ Aut C2×C6×C1872(C2xC6xC18).1C2432,165
(C2×C6×C18).2C2 = C22⋊C4×C3×C9φ: C2/C1C2 ⊆ Aut C2×C6×C18216(C2xC6xC18).2C2432,203
(C2×C6×C18).3C2 = Dic3×C2×C18φ: C2/C1C2 ⊆ Aut C2×C6×C18144(C2xC6xC18).3C2432,373
(C2×C6×C18).4C2 = C3×C18.D4φ: C2/C1C2 ⊆ Aut C2×C6×C1872(C2xC6xC18).4C2432,164
(C2×C6×C18).5C2 = C62.127D6φ: C2/C1C2 ⊆ Aut C2×C6×C18216(C2xC6xC18).5C2432,198
(C2×C6×C18).6C2 = C2×C6×Dic9φ: C2/C1C2 ⊆ Aut C2×C6×C18144(C2xC6xC18).6C2432,372
(C2×C6×C18).7C2 = C22×C9⋊Dic3φ: C2/C1C2 ⊆ Aut C2×C6×C18432(C2xC6xC18).7C2432,396

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