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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆)⋊₁S₃ = C₁₃×S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₂₆	52	3	(C2xC26):1S3	312,47
(C₂×C₂₆)⋊₂S₃ = C₁₃⋊S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₂₆	52	6+	(C2xC26):2S3	312,48
(C₂×C₂₆)⋊₃S₃ = C₁₃×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₆	156	2	(C2xC26):3S3	312,36
(C₂×C₂₆)⋊₄S₃ = C₃₉⋊₇D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₆	156	2	(C2xC26):4S3	312,41
(C₂×C₂₆)⋊₅S₃ = C₂²×D₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₆	156		(C2xC26):5S3	312,60

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆).S₃ = C₂×Dic₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₆	312		(C2xC26).S3	312,40
(C₂×C₂₆).₂S₃ = Dic₃×C₂₆	central extension (φ=1)	312		(C2xC26).2S3	312,35

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