Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₂₆

Direct product G=N×Q with N=C₆ and Q=C₂×C₂₆

		d	ρ	Label	ID
C₂²×C₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₂₆) = S₃×C₂×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	156		C6:(C2xC26)	312,59

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₂₆) = C₁₃×Dic₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	312	2	C6.1(C2xC26)	312,32
C₆.₂(C₂×C₂₆) = S₃×C₅₂	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.2(C2xC26)	312,33
C₆.₃(C₂×C₂₆) = C₁₃×D₁₂	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.3(C2xC26)	312,34
C₆.₄(C₂×C₂₆) = Dic₃×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	312		C6.4(C2xC26)	312,35
C₆.₅(C₂×C₂₆) = C₁₃×C₃⋊D₄	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.5(C2xC26)	312,36
C₆.₆(C₂×C₂₆) = D₄×C₃₉	central extension (φ=1)	156	2	C6.6(C2xC26)	312,43
C₆.₇(C₂×C₂₆) = Q₈×C₃₉	central extension (φ=1)	312	2	C6.7(C2xC26)	312,44

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