Extensions 1→N→G→Q→1 with N=D₂₆ and Q=S₃

Direct product G=N×Q with N=D₂₆ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₁₃		78	4+	C2xS3xD13	312,54

Semidirect products G=N:Q with N=D₂₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆⋊₁S₃ = C₃₉⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out D₂₆	156	4-	D26:1S3	312,18
D₂₆⋊₂S₃ = C₃⋊D₅₂	φ: S₃/C₃ → C₂ ⊆ Out D₂₆	156	4+	D26:2S3	312,19

Non-split extensions G=N.Q with N=D₂₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆.S₃ = C₂×C₃₉⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out D₂₆	78	4	D26.S3	312,53
D₂₆.₂S₃ = Dic₃×D₁₃	φ: trivial image	156	4-	D26.2S3	312,15

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Extensions 1→N→G→Q→1 with N=D26 and Q=S3