Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂₆

Direct product G=N×Q with N=M₄(2) and Q=C₂₆

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

Semidirect products G=N:Q with N=M₄(2) and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₂₆ = C₁₃×C₈⋊C₂²	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	104	4	M4(2):1C26	416,197
M₄(2)⋊₂C₂₆ = C₁₃×C₈.C₂²	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	208	4	M4(2):2C26	416,198
M₄(2)⋊₃C₂₆ = C₁₃×C₄.D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	104	4	M4(2):3C26	416,50
M₄(2)⋊₄C₂₆ = C₁₃×C₄≀C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	104	2	M4(2):4C26	416,54
M₄(2)⋊₅C₂₆ = C₁₃×C₈○D₄	φ: trivial image	208	2	M4(2):5C26	416,192

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂₆ = C₁₃×C₄.₁₀D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	208	4	M4(2).1C26	416,51
M₄(2).₂C₂₆ = C₁₃×C₈.C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out M₄(2)	208	2	M4(2).2C26	416,58

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