Extensions 1→N→G→Q→1 with N=C₃²xDic₃ and Q=C₂

Direct product G=NxQ with N=C₃²xDic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃²xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xDic₃):₁C₂ = C₃³:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	36		(C3^2xDic3):1C2	216,129
(C₃²xDic₃):₂C₂ = C₃xC₃:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	24	4	(C3^2xDic3):2C2	216,122
(C₃²xDic₃):₃C₂ = C₃xS₃xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	24	4	(C3^2xDic3):3C2	216,119
(C₃²xDic₃):₄C₂ = C₃xC₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	24	4	(C3^2xDic3):4C2	216,120
(C₃²xDic₃):₅C₂ = Dic₃xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	72		(C3^2xDic3):5C2	216,125
(C₃²xDic₃):₆C₂ = C₃³:₈(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	36		(C3^2xDic3):6C2	216,126
(C₃²xDic₃):₇C₂ = C₃²xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	36		(C3^2xDic3):7C2	216,139
(C₃²xDic₃):₈C₂ = S₃xC₃xC₁₂	φ: trivial image	72		(C3^2xDic3):8C2	216,136

Non-split extensions G=N.Q with N=C₃²xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xDic₃).₁C₂ = C₃³:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	72		(C3^2xDic3).1C2	216,130
(C₃²xDic₃).₂C₂ = C₃xC₃²:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	24	4	(C3^2xDic3).2C2	216,123
(C₃²xDic₃).₃C₂ = C₃²xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xDic₃	72		(C3^2xDic3).3C2	216,135

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