Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C18

Direct product G=N×Q with N=C3×C6 and Q=C18
dρLabelID
C3×C6×C18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C3×C6 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C18 = C2×C32⋊C18φ: C18/C3C6 ⊆ Aut C3×C6366(C3xC6):C18324,62
(C3×C6)⋊2C18 = C22×C32⋊C9φ: C18/C6C3 ⊆ Aut C3×C6108(C3xC6):2C18324,82
(C3×C6)⋊3C18 = S3×C3×C18φ: C18/C9C2 ⊆ Aut C3×C6108(C3xC6):3C18324,137
(C3×C6)⋊4C18 = C18×C3⋊S3φ: C18/C9C2 ⊆ Aut C3×C6108(C3xC6):4C18324,143

Non-split extensions G=N.Q with N=C3×C6 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C3×C6).C18 = C32⋊C36φ: C18/C3C6 ⊆ Aut C3×C6366(C3xC6).C18324,7
(C3×C6).2C18 = C4×C32⋊C9φ: C18/C6C3 ⊆ Aut C3×C6108(C3xC6).2C18324,27
(C3×C6).3C18 = C4×C27⋊C3φ: C18/C6C3 ⊆ Aut C3×C61083(C3xC6).3C18324,30
(C3×C6).4C18 = C22×C27⋊C3φ: C18/C6C3 ⊆ Aut C3×C6108(C3xC6).4C18324,85
(C3×C6).5C18 = Dic3×C27φ: C18/C9C2 ⊆ Aut C3×C61082(C3xC6).5C18324,11
(C3×C6).6C18 = S3×C54φ: C18/C9C2 ⊆ Aut C3×C61082(C3xC6).6C18324,66
(C3×C6).7C18 = Dic3×C3×C9φ: C18/C9C2 ⊆ Aut C3×C6108(C3xC6).7C18324,91
(C3×C6).8C18 = C9×C3⋊Dic3φ: C18/C9C2 ⊆ Aut C3×C6108(C3xC6).8C18324,97

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