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

Direct product G=N×Q with N=C₂×C₆ and Q=C₁₈

		d	ρ	Label	ID
C₂×C₆×C₁₈		216		C2xC6xC18	216,114

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₁₈ = S₃×C₃.A₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂×C₆	36	6	(C2xC6):C18	216,98
(C₂×C₆)⋊₂C₁₈ = C₆×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂×C₆	54		(C2xC6):2C18	216,105
(C₂×C₆)⋊₃C₁₈ = D₄×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂×C₆	108		(C2xC6):3C18	216,76
(C₂×C₆)⋊₄C₁₈ = C₉×C₃⋊D₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂×C₆	36	2	(C2xC6):4C18	216,58
(C₂×C₆)⋊₅C₁₈ = S₃×C₂×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6):5C18	216,109

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₁₈ = C₂×C₉.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂×C₆	54	3	(C2xC6).C18	216,22
(C₂×C₆).₂C₁₈ = D₄×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂×C₆	108	2	(C2xC6).2C18	216,10
(C₂×C₆).₃C₁₈ = Dic₃×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6).3C18	216,56

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