Extensions 1→N→G→Q→1 with N=C₃²×Dic₃ and Q=C₄

Direct product G=N×Q with N=C₃²×Dic₃ and Q=C₄

		d	ρ	Label	ID
Dic₃×C₃×C₁₂		144		Dic3xC3xC12	432,471

Semidirect products G=N:Q with N=C₃²×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₃)⋊₁C₄ = Dic₃×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃²×Dic₃	48	8-	(C3^2xDic3):1C4	432,567
(C₃²×Dic₃)⋊₂C₄ = C₃³⋊(C₄⋊C₄)	φ: C₄/C₁ → C₄ ⊆ Out C₃²×Dic₃	48	8-	(C3^2xDic3):2C4	432,569
(C₃²×Dic₃)⋊₃C₄ = C₆².₈₀D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3):3C4	432,452
(C₃²×Dic₃)⋊₄C₄ = C₃×Dic₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	48		(C3^2xDic3):4C4	432,428
(C₃²×Dic₃)⋊₅C₄ = C₃×Dic₃²	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	48		(C3^2xDic3):5C4	432,425
(C₃²×Dic₃)⋊₆C₄ = Dic₃×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3):6C4	432,448
(C₃²×Dic₃)⋊₇C₄ = C₃²×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3):7C4	432,472

Non-split extensions G=N.Q with N=C₃²×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₃).₁C₄ = C₃³⋊₅(C₂×C₈)	φ: C₄/C₁ → C₄ ⊆ Out C₃²×Dic₃	24	8+	(C3^2xDic3).1C4	432,571
(C₃²×Dic₃).₂C₄ = C₃³⋊₂M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₃²×Dic₃	24	8+	(C3^2xDic3).2C4	432,573
(C₃²×Dic₃).₃C₄ = C₃³⋊₇M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3).3C4	432,433
(C₃²×Dic₃).₄C₄ = C₃×D₆.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	48	4	(C3^2xDic3).4C4	432,416
(C₃²×Dic₃).₅C₄ = C₃×S₃×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	48	4	(C3^2xDic3).5C4	432,414
(C₃²×Dic₃).₆C₄ = S₃×C₃²⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3).6C4	432,430
(C₃²×Dic₃).₇C₄ = C₃²×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²×Dic₃	144		(C3^2xDic3).7C4	432,465
(C₃²×Dic₃).₈C₄ = S₃×C₃×C₂₄	φ: trivial image	144		(C3^2xDic3).8C4	432,464

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