# Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C18

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

Semidirect products G=N:Q with N=C22×C6 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊C18 = C2×S3×C3.A4φ: C18/C3C6 ⊆ Aut C22×C6366(C2^2xC6):C18432,541
(C22×C6)⋊2C18 = C2×C6×C3.A4φ: C18/C6C3 ⊆ Aut C22×C6108(C2^2xC6):2C18432,548
(C22×C6)⋊3C18 = D4×C3×C18φ: C18/C9C2 ⊆ Aut C22×C6216(C2^2xC6):3C18432,403
(C22×C6)⋊4C18 = C18×C3⋊D4φ: C18/C9C2 ⊆ Aut C22×C672(C2^2xC6):4C18432,375
(C22×C6)⋊5C18 = S3×C22×C18φ: C18/C9C2 ⊆ Aut C22×C6144(C2^2xC6):5C18432,557

Non-split extensions G=N.Q with N=C22×C6 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C22×C6).C18 = Dic3×C3.A4φ: C18/C3C6 ⊆ Aut C22×C6366(C2^2xC6).C18432,271
(C22×C6).2C18 = C4×C9.A4φ: C18/C6C3 ⊆ Aut C22×C61083(C2^2xC6).2C18432,40
(C22×C6).3C18 = C22×C9.A4φ: C18/C6C3 ⊆ Aut C22×C6108(C2^2xC6).3C18432,225
(C22×C6).4C18 = C12×C3.A4φ: C18/C6C3 ⊆ Aut C22×C6108(C2^2xC6).4C18432,331
(C22×C6).5C18 = C22⋊C4×C27φ: C18/C9C2 ⊆ Aut C22×C6216(C2^2xC6).5C18432,21
(C22×C6).6C18 = D4×C54φ: C18/C9C2 ⊆ Aut C22×C6216(C2^2xC6).6C18432,54
(C22×C6).7C18 = C22⋊C4×C3×C9φ: C18/C9C2 ⊆ Aut C22×C6216(C2^2xC6).7C18432,203
(C22×C6).8C18 = C9×C6.D4φ: C18/C9C2 ⊆ Aut C22×C672(C2^2xC6).8C18432,165
(C22×C6).9C18 = Dic3×C2×C18φ: C18/C9C2 ⊆ Aut C22×C6144(C2^2xC6).9C18432,373

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