Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=C₁₂

Direct product G=N×Q with N=C₃×Dic₃ and Q=C₁₂

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

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁C₁₂ = C₃×Dic₃⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3):1C12	432,428
(C₃×Dic₃)⋊₂C₁₂ = C₃×Dic₃²	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3):2C12	432,425
(C₃×Dic₃)⋊₃C₁₂ = C₃²×Dic₃⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3):3C12	432,472

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁C₁₂ = C₃×D₆.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	48	4	(C3xDic3).1C12	432,416
(C₃×Dic₃).₂C₁₂ = C₃×S₃×C₃⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	48	4	(C3xDic3).2C12	432,414
(C₃×Dic₃).₃C₁₂ = C₉×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	144	2	(C3xDic3).3C12	432,110
(C₃×Dic₃).₄C₁₂ = C₉×Dic₃⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).4C12	432,132
(C₃×Dic₃).₅C₁₂ = C₃²×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).5C12	432,465
(C₃×Dic₃).₆C₁₂ = S₃×C₇₂	φ: trivial image	144	2	(C3xDic3).6C12	432,109
(C₃×Dic₃).₇C₁₂ = Dic₃×C₃₆	φ: trivial image	144		(C3xDic3).7C12	432,131
(C₃×Dic₃).₈C₁₂ = S₃×C₃×C₂₄	φ: trivial image	144		(C3xDic3).8C12	432,464

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