Extensions 1→N→G→Q→1 with N=C3×C18 and Q=C2

Direct product G=N×Q with N=C3×C18 and Q=C2
dρLabelID
C6×C18108C6xC18108,29

Semidirect products G=N:Q with N=C3×C18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊1C2 = S3×C18φ: C2/C1C2 ⊆ Aut C3×C18362(C3xC18):1C2108,24
(C3×C18)⋊2C2 = C6×D9φ: C2/C1C2 ⊆ Aut C3×C18362(C3xC18):2C2108,23
(C3×C18)⋊3C2 = C2×C9⋊S3φ: C2/C1C2 ⊆ Aut C3×C1854(C3xC18):3C2108,27

Non-split extensions G=N.Q with N=C3×C18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3×C18).1C2 = C9×Dic3φ: C2/C1C2 ⊆ Aut C3×C18362(C3xC18).1C2108,7
(C3×C18).2C2 = C3×Dic9φ: C2/C1C2 ⊆ Aut C3×C18362(C3xC18).2C2108,6
(C3×C18).3C2 = C9⋊Dic3φ: C2/C1C2 ⊆ Aut C3×C18108(C3xC18).3C2108,10

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