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

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

		d	ρ	Label	ID
S₃×C₂₆		78	2	S3xC26	156,16

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊S₃ = D₇₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂₆	78	2+	C26:S3	156,17

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.S₃ = Dic₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂₆	156	2-	C26.S3	156,5
C₂₆.₂S₃ = Dic₃×C₁₃	central extension (φ=1)	156	2	C26.2S3	156,3

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