Extensions 1→N→G→Q→1 with N=C₃²×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₃²×Dic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₃×C₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃²×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₃)⋊₁C₂ = C₃³⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	36		(C3^2xDic3):1C2	216,129
(C₃²×Dic₃)⋊₂C₂ = C₃×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	24	4	(C3^2xDic3):2C2	216,122
(C₃²×Dic₃)⋊₃C₂ = C₃×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	24	4	(C3^2xDic3):3C2	216,119
(C₃²×Dic₃)⋊₄C₂ = C₃×C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	24	4	(C3^2xDic3):4C2	216,120
(C₃²×Dic₃)⋊₅C₂ = Dic₃×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	72		(C3^2xDic3):5C2	216,125
(C₃²×Dic₃)⋊₆C₂ = C₃³⋊₈(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	36		(C3^2xDic3):6C2	216,126
(C₃²×Dic₃)⋊₇C₂ = C₃²×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	36		(C3^2xDic3):7C2	216,139
(C₃²×Dic₃)⋊₈C₂ = S₃×C₃×C₁₂	φ: trivial image	72		(C3^2xDic3):8C2	216,136

Non-split extensions G=N.Q with N=C₃²×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₃).₁C₂ = C₃³⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	72		(C3^2xDic3).1C2	216,130
(C₃²×Dic₃).₂C₂ = C₃×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	24	4	(C3^2xDic3).2C2	216,123
(C₃²×Dic₃).₃C₂ = C₃²×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₃	72		(C3^2xDic3).3C2	216,135

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁