Extensions 1→N→G→Q→1 with N=C₂²×C₂₆ and Q=C₄

Direct product G=N×Q with N=C₂²×C₂₆ and Q=C₄

		d	ρ	Label	ID
C₂³×C₅₂		416		C2^3xC52	416,227

Semidirect products G=N:Q with N=C₂²×C₂₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₆)⋊₁C₄ = C₁₃×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26):1C4	416,49
(C₂²×C₂₆)⋊₂C₄ = C₂³⋊Dic₁₃	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26):2C4	416,41
(C₂²×C₂₆)⋊₃C₄ = D₂₆.₄D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26):3C4	416,86
(C₂²×C₂₆)⋊₄C₄ = C₂×D₁₃.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104		(C2^2xC26):4C4	416,211
(C₂²×C₂₆)⋊₅C₄ = C₂³×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104		(C2^2xC26):5C4	416,233
(C₂²×C₂₆)⋊₆C₄ = C₂²⋊C₄×C₂₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26):6C4	416,176
(C₂²×C₂₆)⋊₇C₄ = C₂×C₂³.D₁₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26):7C4	416,173
(C₂²×C₂₆)⋊₈C₄ = C₂³×Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	416		(C2^2xC26):8C4	416,225

Non-split extensions G=N.Q with N=C₂²×C₂₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₆).₁C₄ = C₁₃×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26).1C4	416,50
(C₂²×C₂₆).₂C₄ = C₅₂.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26).2C4	416,40
(C₂²×C₂₆).₃C₄ = C₂₆.M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).3C4	416,87
(C₂²×C₂₆).₄C₄ = Dic₁₃.₄D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	104	4	(C2^2xC26).4C4	416,88
(C₂²×C₂₆).₅C₄ = C₂²×C₁₃⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	416		(C2^2xC26).5C4	416,209
(C₂²×C₂₆).₆C₄ = C₂×C₁₃⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).6C4	416,210
(C₂²×C₂₆).₇C₄ = C₁₃×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).7C4	416,48
(C₂²×C₂₆).₈C₄ = M₄(2)×C₂₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).8C4	416,191
(C₂²×C₂₆).₉C₄ = C₅₂.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).9C4	416,37
(C₂²×C₂₆).₁₀C₄ = C₂²×C₁₃⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	416		(C2^2xC26).10C4	416,141
(C₂²×C₂₆).₁₁C₄ = C₂×C₅₂.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂²×C₂₆	208		(C2^2xC26).11C4	416,142

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