Extensions 1→N→G→Q→1 with N=C6×C18 and Q=C4

Direct product G=N×Q with N=C6×C18 and Q=C4
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C6×C18 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C6×C18)⋊1C4 = C9×C6.D4φ: C4/C2C2 ⊆ Aut C6×C1872(C6xC18):1C4432,165
(C6×C18)⋊2C4 = C22⋊C4×C3×C9φ: C4/C2C2 ⊆ Aut C6×C18216(C6xC18):2C4432,203
(C6×C18)⋊3C4 = Dic3×C2×C18φ: C4/C2C2 ⊆ Aut C6×C18144(C6xC18):3C4432,373
(C6×C18)⋊4C4 = C3×C18.D4φ: C4/C2C2 ⊆ Aut C6×C1872(C6xC18):4C4432,164
(C6×C18)⋊5C4 = C62.127D6φ: C4/C2C2 ⊆ Aut C6×C18216(C6xC18):5C4432,198
(C6×C18)⋊6C4 = C2×C6×Dic9φ: C4/C2C2 ⊆ Aut C6×C18144(C6xC18):6C4432,372
(C6×C18)⋊7C4 = C22×C9⋊Dic3φ: C4/C2C2 ⊆ Aut C6×C18432(C6xC18):7C4432,396

Non-split extensions G=N.Q with N=C6×C18 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C6×C18).1C4 = C18×C3⋊C8φ: C4/C2C2 ⊆ Aut C6×C18144(C6xC18).1C4432,126
(C6×C18).2C4 = C9×C4.Dic3φ: C4/C2C2 ⊆ Aut C6×C18722(C6xC18).2C4432,127
(C6×C18).3C4 = M4(2)×C3×C9φ: C4/C2C2 ⊆ Aut C6×C18216(C6xC18).3C4432,212
(C6×C18).4C4 = C6×C9⋊C8φ: C4/C2C2 ⊆ Aut C6×C18144(C6xC18).4C4432,124
(C6×C18).5C4 = C3×C4.Dic9φ: C4/C2C2 ⊆ Aut C6×C18722(C6xC18).5C4432,125
(C6×C18).6C4 = C2×C36.S3φ: C4/C2C2 ⊆ Aut C6×C18432(C6xC18).6C4432,178
(C6×C18).7C4 = C36.69D6φ: C4/C2C2 ⊆ Aut C6×C18216(C6xC18).7C4432,179

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