Extensions 1→N→G→Q→1 with N=S₃×D₄ and Q=C₆

Direct product G=N×Q with N=S₃×D₄ and Q=C₆

		d	ρ	Label	ID
S₃×C₆×D₄		48		S3xC6xD4	288,992

Semidirect products G=N:Q with N=S₃×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄)⋊₁C₆ = C₃×S₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4):1C6	288,681
(S₃×D₄)⋊₂C₆ = C₃×D₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4):2C6	288,682
(S₃×D₄)⋊₃C₆ = C₃×Q₈⋊₃D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4):3C6	288,685
(S₃×D₄)⋊₄C₆ = C₃×D₄⋊₆D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	24	4	(S3xD4):4C6	288,994
(S₃×D₄)⋊₅C₆ = C₃×D₄○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4):5C6	288,999
(S₃×D₄)⋊₆C₆ = C₃×S₃×C₄○D₄	φ: trivial image	48	4	(S3xD4):6C6	288,998

Non-split extensions G=N.Q with N=S₃×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄).C₆ = C₃×S₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4).C6	288,684

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