Extensions 1→N→G→Q→1 with N=S₃×C₂₆ and Q=C₂

Direct product G=N×Q with N=S₃×C₂₆ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₂₆		156		S3xC2xC26	312,59

Semidirect products G=N:Q with N=S₃×C₂₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₆)⋊₁C₂ = C₃₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	156	4-	(S3xC26):1C2	312,18
(S₃×C₂₆)⋊₂C₂ = C₁₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	156	4+	(S3xC26):2C2	312,20
(S₃×C₂₆)⋊₃C₂ = C₂×S₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	78	4+	(S3xC26):3C2	312,54
(S₃×C₂₆)⋊₄C₂ = C₁₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	156	2	(S3xC26):4C2	312,34
(S₃×C₂₆)⋊₅C₂ = C₁₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	156	2	(S3xC26):5C2	312,36

Non-split extensions G=N.Q with N=S₃×C₂₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₆).C₂ = S₃×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₆	156	4-	(S3xC26).C2	312,16
(S₃×C₂₆).₂C₂ = S₃×C₅₂	φ: trivial image	156	2	(S3xC26).2C2	312,33

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