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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₈)⋊₁C₂ = C₉×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	36	2	(C6xC18):1C2	216,58
(C₆×C₁₈)⋊₂C₂ = D₄×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	108		(C6xC18):2C2	216,76
(C₆×C₁₈)⋊₃C₂ = S₃×C₂×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18):3C2	216,109
(C₆×C₁₈)⋊₄C₂ = C₃×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	36	2	(C6xC18):4C2	216,57
(C₆×C₁₈)⋊₅C₂ = C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	108		(C6xC18):5C2	216,70
(C₆×C₁₈)⋊₆C₂ = C₂×C₆×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18):6C2	216,108
(C₆×C₁₈)⋊₇C₂ = C₂²×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	108		(C6xC18):7C2	216,112

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₈).₁C₂ = Dic₃×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18).1C2	216,56
(C₆×C₁₈).₂C₂ = C₆×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18).2C2	216,55
(C₆×C₁₈).₃C₂ = C₂×C₉⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆×C₁₈	216		(C6xC18).3C2	216,69

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