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

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

		d	ρ	Label	ID
S₃×C₂²×C₆		48		S3xC2^2xC6	144,195

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₆)⋊₁C₂ = C₂×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	48		(S3xC2xC6):1C2	144,150
(S₃×C₂×C₆)⋊₂C₂ = C₂×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	24		(S3xC2xC6):2C2	144,151
(S₃×C₂×C₆)⋊₃C₂ = S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	24	4	(S3xC2xC6):3C2	144,153
(S₃×C₂×C₆)⋊₄C₂ = C₆×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	48		(S3xC2xC6):4C2	144,160
(S₃×C₂×C₆)⋊₅C₂ = C₃×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	24	4	(S3xC2xC6):5C2	144,162
(S₃×C₂×C₆)⋊₆C₂ = C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	24		(S3xC2xC6):6C2	144,167
(S₃×C₂×C₆)⋊₇C₂ = C₂²×S₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	24		(S3xC2xC6):7C2	144,192

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₆).₁C₂ = D₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	48		(S3xC2xC6).1C2	144,64
(S₃×C₂×C₆).₂C₂ = C₃×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	48		(S3xC2xC6).2C2	144,79
(S₃×C₂×C₆).₃C₂ = C₂×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₆	48		(S3xC2xC6).3C2	144,146
(S₃×C₂×C₆).₄C₂ = S₃×C₂×C₁₂	φ: trivial image	48		(S3xC2xC6).4C2	144,159

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