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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆)⋊₁C₆ = A₄×D₁₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	52	6+	(C2xC26):1C6	312,50
(C₂×C₂₆)⋊₂C₆ = D₁₃⋊A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	52	6+	(C2xC26):2C6	312,51
(C₂×C₂₆)⋊₃C₆ = D₂₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	52	6	(C2xC26):3C6	312,12
(C₂×C₂₆)⋊₄C₆ = C₂²×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	52		(C2xC26):4C6	312,49
(C₂×C₂₆)⋊₅C₆ = D₄×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	52	6	(C2xC26):5C6	312,23
(C₂×C₂₆)⋊₆C₆ = A₄×C₂₆	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₂₆	78	3	(C2xC26):6C6	312,56
(C₂×C₂₆)⋊₇C₆ = C₂×C₁₃⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₂₆	78	3	(C2xC26):7C6	312,57
(C₂×C₂₆)⋊₈C₆ = C₂³×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₂₆	104		(C2xC26):8C6	312,55
(C₂×C₂₆)⋊₉C₆ = D₄×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₆	156	2	(C2xC26):9C6	312,43
(C₂×C₂₆)⋊₁₀C₆ = C₃×C₁₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₆	156	2	(C2xC26):10C6	312,31
(C₂×C₂₆)⋊₁₁C₆ = C₂×C₆×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₆	156		(C2xC26):11C6	312,58

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆).C₆ = C₂×C₂₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₂₆	104		(C2xC26).C6	312,11
(C₂×C₂₆).₂C₆ = C₂×C₄×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₂₆	104		(C2xC26).2C6	312,22
(C₂×C₂₆).₃C₆ = C₆×Dic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₆	312		(C2xC26).3C6	312,30

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