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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊(C₃×S₃) = C₂×D₃₉⋊C₃	φ: C₃×S₃/C₃ → C₆ ⊆ Aut C₂₆	78	6+	C26:(C3xS3)	468,35
C₂₆⋊₂(C₃×S₃) = C₂×S₃×C₁₃⋊C₃	φ: C₃×S₃/S₃ → C₃ ⊆ Aut C₂₆	78	6	C26:2(C3xS3)	468,34
C₂₆⋊₃(C₃×S₃) = C₆×D₃₉	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₆	156	2	C26:3(C3xS3)	468,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.(C₃×S₃) = C₃₉⋊₃C₁₂	φ: C₃×S₃/C₃ → C₆ ⊆ Aut C₂₆	156	6-	C26.(C3xS3)	468,21
C₂₆.₂(C₃×S₃) = Dic₃×C₁₃⋊C₃	φ: C₃×S₃/S₃ → C₃ ⊆ Aut C₂₆	156	6	C26.2(C3xS3)	468,20
C₂₆.₃(C₃×S₃) = C₃×Dic₃₉	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₆	156	2	C26.3(C3xS3)	468,25
C₂₆.₄(C₃×S₃) = Dic₃×C₃₉	central extension (φ=1)	156	2	C26.4(C3xS3)	468,24

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