Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₂

Direct product G=N×Q with N=S₃×C₆ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₆		24		S3xC2xC6	72,48

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₂ = D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	24	4-	(S3xC6):1C2	72,22
(S₃×C₆)⋊₂C₂ = C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	12	4+	(S3xC6):2C2	72,23
(S₃×C₆)⋊₃C₂ = C₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	24	2	(S3xC6):3C2	72,28
(S₃×C₆)⋊₄C₂ = C₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	12	2	(S3xC6):4C2	72,30
(S₃×C₆)⋊₅C₂ = C₂×S₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	12	4+	(S3xC6):5C2	72,46

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).C₂ = S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₆	24	4-	(S3xC6).C2	72,20
(S₃×C₆).₂C₂ = S₃×C₁₂	φ: trivial image	24	2	(S3xC6).2C2	72,27

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