Extensions 1→N→G→Q→1 with N=C₃²×C₁₈ and Q=C₂

Direct product G=N×Q with N=C₃²×C₁₈ and Q=C₂

		d	ρ	Label	ID
C₃×C₆×C₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₃²×C₁₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₈)⋊₁C₂ = S₃×C₃×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18):1C2	324,137
(C₃²×C₁₈)⋊₂C₂ = C₁₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18):2C2	324,143
(C₃²×C₁₈)⋊₃C₂ = D₉×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18):3C2	324,136
(C₃²×C₁₈)⋊₄C₂ = C₆×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18):4C2	324,142
(C₃²×C₁₈)⋊₅C₂ = C₂×C₃²⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	162		(C3^2xC18):5C2	324,149

Non-split extensions G=N.Q with N=C₃²×C₁₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₈).₁C₂ = Dic₃×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18).1C2	324,91
(C₃²×C₁₈).₂C₂ = C₉×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18).2C2	324,97
(C₃²×C₁₈).₃C₂ = C₃²×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18).3C2	324,90
(C₃²×C₁₈).₄C₂ = C₃×C₉⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	108		(C3^2xC18).4C2	324,96
(C₃²×C₁₈).₅C₂ = C₃²⋊₅Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₁₈	324		(C3^2xC18).5C2	324,103

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