Extensions 1→N→G→Q→1 with N=C₁₃×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₁₃×M₄(2) and Q=C₂

		d	ρ	Label	ID
M₄(2)×C₂₆		208		M4(2)xC26	416,191

Semidirect products G=N:Q with N=C₁₃×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×M₄(2))⋊₁C₂ = C₈⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4+	(C13xM4(2)):1C2	416,129
(C₁₃×M₄(2))⋊₂C₂ = C₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4-	(C13xM4(2)):2C2	416,130
(C₁₃×M₄(2))⋊₃C₂ = M₄(2)×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4	(C13xM4(2)):3C2	416,127
(C₁₃×M₄(2))⋊₄C₂ = D₅₂.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4	(C13xM4(2)):4C2	416,128
(C₁₃×M₄(2))⋊₅C₂ = C₁₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4	(C13xM4(2)):5C2	416,197
(C₁₃×M₄(2))⋊₆C₂ = C₁₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4	(C13xM4(2)):6C2	416,198
(C₁₃×M₄(2))⋊₇C₂ = C₅₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4+	(C13xM4(2)):7C2	416,30
(C₁₃×M₄(2))⋊₈C₂ = D₅₂⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4	(C13xM4(2)):8C2	416,32
(C₁₃×M₄(2))⋊₉C₂ = C₁₃×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	4	(C13xM4(2)):9C2	416,50
(C₁₃×M₄(2))⋊₁₀C₂ = C₁₃×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	104	2	(C13xM4(2)):10C2	416,54
(C₁₃×M₄(2))⋊₁₁C₂ = C₁₃×C₈○D₄	φ: trivial image	208	2	(C13xM4(2)):11C2	416,192

Non-split extensions G=N.Q with N=C₁₃×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×M₄(2)).₁C₂ = C₅₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4	(C13xM4(2)).1C2	416,29
(C₁₃×M₄(2)).₂C₂ = C₄.₁₂D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4-	(C13xM4(2)).2C2	416,31
(C₁₃×M₄(2)).₃C₂ = C₁₃×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	4	(C13xM4(2)).3C2	416,51
(C₁₃×M₄(2)).₄C₂ = C₁₃×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×M₄(2)	208	2	(C13xM4(2)).4C2	416,58

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