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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁C₄ = S₃×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):1C4	192,438
(S₃×C₈)⋊₂C₄ = C₈.₂₇(C₄×S₃)	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):2C4	192,439
(S₃×C₈)⋊₃C₄ = S₃×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):3C4	192,418
(S₃×C₈)⋊₄C₄ = (S₃×C₈)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):4C4	192,419
(S₃×C₈)⋊₅C₄ = D₆.C₄²	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):5C4	192,248
(S₃×C₈)⋊₆C₄ = S₃×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):6C4	192,263
(S₃×C₈)⋊₇C₄ = D₆.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8):7C4	192,267

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁C₄ = S₃×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8).1C4	192,451
(S₃×C₈).₂C₄ = C₉₆⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96	2	(S3xC8).2C4	192,6
(S₃×C₈).₃C₄ = C₂×D₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	96		(S3xC8).3C4	192,459
(S₃×C₈).₄C₄ = S₃×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8).4C4	192,465
(S₃×C₈).₅C₄ = S₃×C₃₂	φ: trivial image	96	2	(S3xC8).5C4	192,5
(S₃×C₈).₆C₄ = S₃×C₂×C₁₆	φ: trivial image	96		(S3xC8).6C4	192,458

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