Extensions 1→N→G→Q→1 with N=S₃×C₈ and Q=C₆

Direct product G=N×Q with N=S₃×C₈ and Q=C₆

		d	ρ	Label	ID
S₃×C₂×C₂₄		96		S3xC2xC24	288,670

Semidirect products G=N:Q with N=S₃×C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁C₆ = C₃×S₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):1C6	288,681
(S₃×C₈)⋊₂C₆ = C₃×D₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):2C6	288,683
(S₃×C₈)⋊₃C₆ = C₃×D₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	96	4	(S3xC8):3C6	288,690
(S₃×C₈)⋊₄C₆ = C₃×S₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):4C6	288,684
(S₃×C₈)⋊₅C₆ = C₃×Q₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):5C6	288,687
(S₃×C₈)⋊₆C₆ = C₃×C₈○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	2	(S3xC8):6C6	288,672
(S₃×C₈)⋊₇C₆ = C₃×S₃×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):7C6	288,677
(S₃×C₈)⋊₈C₆ = C₃×D₁₂.C₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):8C6	288,678

Non-split extensions G=N.Q with N=S₃×C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁C₆ = C₃×S₃×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	96	4	(S3xC8).1C6	288,688
(S₃×C₈).₂C₆ = C₃×D₆.C₈	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₈	96	2	(S3xC8).2C6	288,232
(S₃×C₈).₃C₆ = S₃×C₄₈	φ: trivial image	96	2	(S3xC8).3C6	288,231

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