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

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

		d	ρ	Label	ID
S₃×C₄²		48		S3xC4^2	96,78

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₄ = S₃×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	48		(C4xS3):1C4	96,98
(C₄×S₃)⋊₂C₄ = C₄⋊C₄⋊₇S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	48		(C4xS3):2C4	96,99
(C₄×S₃)⋊₃C₄ = C₄²⋊₂S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	48		(C4xS3):3C4	96,79

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₄ = S₃×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	24	4	(C4xS3).1C4	96,113
(C₄×S₃).₂C₄ = D₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	48	2	(C4xS3).2C4	96,5
(C₄×S₃).₃C₄ = C₂×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×S₃	48		(C4xS3).3C4	96,107
(C₄×S₃).₄C₄ = S₃×C₁₆	φ: trivial image	48	2	(C4xS3).4C4	96,4
(C₄×S₃).₅C₄ = S₃×C₂×C₈	φ: trivial image	48		(C4xS3).5C4	96,106

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