Extensions 1→N→G→Q→1 with N=C₁₃×C₂²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₁₃×C₂²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂²⋊C₄×C₂₆		208		C2^2:C4xC26	416,176

Semidirect products G=N:Q with N=C₁₃×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₂²⋊C₄)⋊₁C₂ = C₂².₂D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	104	4	(C13xC2^2:C4):1C2	416,13
(C₁₃×C₂²⋊C₄)⋊₂C₂ = C₁₃×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	104	4	(C13xC2^2:C4):2C2	416,49
(C₁₃×C₂²⋊C₄)⋊₃C₂ = C₂²⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	104		(C13xC2^2:C4):3C2	416,103
(C₁₃×C₂²⋊C₄)⋊₄C₂ = C₂².D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):4C2	416,107
(C₁₃×C₂²⋊C₄)⋊₅C₂ = D₂₆.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):5C2	416,104
(C₁₃×C₂²⋊C₄)⋊₆C₂ = D₂₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):6C2	416,105
(C₁₃×C₂²⋊C₄)⋊₇C₂ = C₂³.₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):7C2	416,106
(C₁₃×C₂²⋊C₄)⋊₈C₂ = C₂²⋊C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	104		(C13xC2^2:C4):8C2	416,101
(C₁₃×C₂²⋊C₄)⋊₉C₂ = Dic₁₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):9C2	416,102
(C₁₃×C₂²⋊C₄)⋊₁₀C₂ = C₁₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	104		(C13xC2^2:C4):10C2	416,181
(C₁₃×C₂²⋊C₄)⋊₁₁C₂ = C₁₃×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):11C2	416,182
(C₁₃×C₂²⋊C₄)⋊₁₂C₂ = C₁₃×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):12C2	416,184
(C₁₃×C₂²⋊C₄)⋊₁₃C₂ = C₁₃×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4):13C2	416,185
(C₁₃×C₂²⋊C₄)⋊₁₄C₂ = D₄×C₅₂	φ: trivial image	208		(C13xC2^2:C4):14C2	416,179

Non-split extensions G=N.Q with N=C₁₃×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₂²⋊C₄).₁C₂ = C₂²⋊Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4).1C2	416,99
(C₁₃×C₂²⋊C₄).₂C₂ = C₂³.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4).2C2	416,100
(C₁₃×C₂²⋊C₄).₃C₂ = C₂³.₁₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4).3C2	416,98
(C₁₃×C₂²⋊C₄).₄C₂ = C₁₃×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4).4C2	416,183
(C₁₃×C₂²⋊C₄).₅C₂ = C₁₃×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₂²⋊C₄	208		(C13xC2^2:C4).5C2	416,187
(C₁₃×C₂²⋊C₄).₆C₂ = C₁₃×C₄²⋊C₂	φ: trivial image	208		(C13xC2^2:C4).6C2	416,178

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