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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₈ = C₁₂.₇₇D₁₂	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):1C8	288,204
(S₃×C₆)⋊₂C₈ = C₃×D₆⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):2C8	288,254
(S₃×C₆)⋊₃C₈ = C₂×S₃×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):3C8	288,460

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁C₈ = S₃×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96	4	(S3xC6).1C8	288,189
(S₃×C₆).₂C₈ = C₂₄.₆₁D₆	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96	4	(S3xC6).2C8	288,191
(S₃×C₆).₃C₈ = C₃×D₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₆	96	2	(S3xC6).3C8	288,232
(S₃×C₆).₄C₈ = S₃×C₄₈	φ: trivial image	96	2	(S3xC6).4C8	288,231

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