Extensions 1→N→G→Q→1 with N=S₃×Dic₃ and Q=C₄

Direct product G=N×Q with N=S₃×Dic₃ and Q=C₄

		d	ρ	Label	ID
C₄×S₃×Dic₃		96		C4xS3xDic3	288,523

Semidirect products G=N:Q with N=S₃×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
(S₃×Dic₃)⋊₁C₄ = S₃×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₃	96	(S3xDic3):1C4	288,524
(S₃×Dic₃)⋊₂C₄ = C₆².₄₈C₂³	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₃	96	(S3xDic3):2C4	288,526
(S₃×Dic₃)⋊₃C₄ = C₆².₄₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₃	96	(S3xDic3):3C4	288,525

Non-split extensions G=N.Q with N=S₃×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₃).₁C₄ = C₂₄⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₃	48	4	(S3xDic3).1C4	288,439
(S₃×Dic₃).₂C₄ = S₃×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₃	48	4	(S3xDic3).2C4	288,438
(S₃×Dic₃).₃C₄ = S₃²×C₈	φ: trivial image	48	4	(S3xDic3).3C4	288,437

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Extensions 1→N→G→Q→1 with N=S3×Dic3 and Q=C4