Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₈

Direct product G=N×Q with N=C₄×S₃ and Q=C₈

		d	ρ	Label	ID
S₃×C₄×C₈		96		S3xC4xC8	192,243

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₈ = S₃×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):1C8	192,391
(C₄×S₃)⋊₂C₈ = C₄².₂₀₀D₆	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):2C8	192,392
(C₄×S₃)⋊₃C₈ = C₄².₂₈₂D₆	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):3C8	192,244

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₈ = S₃×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).1C8	192,465
(C₄×S₃).₂C₈ = C₉₆⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	96	2	(C4xS3).2C8	192,6
(C₄×S₃).₃C₈ = C₂×D₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).3C8	192,459
(C₄×S₃).₄C₈ = S₃×C₃₂	φ: trivial image	96	2	(C4xS3).4C8	192,5
(C₄×S₃).₅C₈ = S₃×C₂×C₁₆	φ: trivial image	96		(C4xS3).5C8	192,458

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