Extensions 1→N→G→Q→1 with N=C₂xC₂₆ and Q=C₆

Direct product G=NxQ with N=C₂xC₂₆ and Q=C₆

		d	ρ	Label	ID
C₂²xC₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₂xC₂₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₆):₁C₆ = A₄xD₁₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	52	6+	(C2xC26):1C6	312,50
(C₂xC₂₆):₂C₆ = D₁₃:A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	52	6+	(C2xC26):2C6	312,51
(C₂xC₂₆):₃C₆ = D₂₆:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	52	6	(C2xC26):3C6	312,12
(C₂xC₂₆):₄C₆ = C₂²xC₁₃:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	52		(C2xC26):4C6	312,49
(C₂xC₂₆):₅C₆ = D₄xC₁₃:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	52	6	(C2xC26):5C6	312,23
(C₂xC₂₆):₆C₆ = A₄xC₂₆	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₂₆	78	3	(C2xC26):6C6	312,56
(C₂xC₂₆):₇C₆ = C₂xC₁₃:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₂₆	78	3	(C2xC26):7C6	312,57
(C₂xC₂₆):₈C₆ = C₂³xC₁₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₂₆	104		(C2xC26):8C6	312,55
(C₂xC₂₆):₉C₆ = D₄xC₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₆	156	2	(C2xC26):9C6	312,43
(C₂xC₂₆):₁₀C₆ = C₃xC₁₃:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₆	156	2	(C2xC26):10C6	312,31
(C₂xC₂₆):₁₁C₆ = C₂xC₆xD₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₆	156		(C2xC26):11C6	312,58

Non-split extensions G=N.Q with N=C₂xC₂₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₆).C₆ = C₂xC₂₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₂₆	104		(C2xC26).C6	312,11
(C₂xC₂₆).₂C₆ = C₂xC₄xC₁₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₂₆	104		(C2xC26).2C6	312,22
(C₂xC₂₆).₃C₆ = C₆xDic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₆	312		(C2xC26).3C6	312,30

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