Extensions 1→N→G→Q→1 with N=D₄×C₂₆ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₆ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=D₄×C₂₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₆)⋊₁C₂ = C₂×D₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):1C2	416,152
(D₄×C₂₆)⋊₂C₂ = D₅₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26):2C2	416,153
(D₄×C₂₆)⋊₃C₂ = C₅₂⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):3C2	416,159
(D₄×C₂₆)⋊₄C₂ = C₅₂⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):4C2	416,161
(D₄×C₂₆)⋊₅C₂ = C₂×D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104		(D4xC26):5C2	416,216
(D₄×C₂₆)⋊₆C₂ = C₂×D₄⋊₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):6C2	416,217
(D₄×C₂₆)⋊₇C₂ = D₄⋊₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26):7C2	416,218
(D₄×C₂₆)⋊₈C₂ = C₂³⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104		(D4xC26):8C2	416,158
(D₄×C₂₆)⋊₉C₂ = Dic₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):9C2	416,160
(D₄×C₂₆)⋊₁₀C₂ = C₁₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104		(D4xC26):10C2	416,181
(D₄×C₂₆)⋊₁₁C₂ = C₁₃×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):11C2	416,182
(D₄×C₂₆)⋊₁₂C₂ = C₁₃×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):12C2	416,188
(D₄×C₂₆)⋊₁₃C₂ = D₈×C₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26):13C2	416,193
(D₄×C₂₆)⋊₁₄C₂ = C₁₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26):14C2	416,197
(D₄×C₂₆)⋊₁₅C₂ = C₁₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26):15C2	416,231
(D₄×C₂₆)⋊₁₆C₂ = C₄○D₄×C₂₆	φ: trivial image	208		(D4xC26):16C2	416,230

Non-split extensions G=N.Q with N=D₄×C₂₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₆).₁C₂ = D₄⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).1C2	416,39
(D₄×C₂₆).₂C₂ = C₅₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26).2C2	416,40
(D₄×C₂₆).₃C₂ = C₂×D₄.D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).3C2	416,154
(D₄×C₂₆).₄C₂ = D₄×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).4C2	416,155
(D₄×C₂₆).₅C₂ = C₅₂.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).5C2	416,157
(D₄×C₂₆).₆C₂ = C₂³⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26).6C2	416,41
(D₄×C₂₆).₇C₂ = C₁₃×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26).7C2	416,49
(D₄×C₂₆).₈C₂ = C₁₃×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	104	4	(D4xC26).8C2	416,50
(D₄×C₂₆).₉C₂ = C₁₃×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).9C2	416,52
(D₄×C₂₆).₁₀C₂ = C₂³.₁₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).10C2	416,156
(D₄×C₂₆).₁₁C₂ = C₁₃×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).11C2	416,184
(D₄×C₂₆).₁₂C₂ = C₁₃×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).12C2	416,185
(D₄×C₂₆).₁₃C₂ = SD₁₆×C₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₆	208		(D4xC26).13C2	416,194
(D₄×C₂₆).₁₄C₂ = D₄×C₅₂	φ: trivial image	208		(D4xC26).14C2	416,179

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