Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₂₆

Direct product G=N×Q with N=C₃ and Q=S₃×C₂₆

		d	ρ	Label	ID
S₃×C₇₈		156	2	S3xC78	468,51

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₂₆) = S₃²×C₁₃	φ: S₃×C₂₆/S₃×C₁₃ → C₂ ⊆ Aut C₃	78	4	C3:1(S3xC26)	468,44
C₃⋊₂(S₃×C₂₆) = C₃⋊S₃×C₂₆	φ: S₃×C₂₆/C₇₈ → C₂ ⊆ Aut C₃	234		C3:2(S3xC26)	468,53

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₂₆) = D₉×C₂₆	φ: S₃×C₂₆/C₇₈ → C₂ ⊆ Aut C₃	234	2	C3.(S3xC26)	468,16

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Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C26