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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊₁M₄(2) = C₂×C₅₂.C₄	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₂₆	208		C26:1M4(2)	416,200
C₂₆⋊₂M₄(2) = C₂×C₁₃⋊M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₂₆	208		C26:2M4(2)	416,210
C₂₆⋊₃M₄(2) = C₂×C₈⋊D₁₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₆	208		C26:3M4(2)	416,121
C₂₆⋊₄M₄(2) = C₂×C₅₂.₄C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₆	208		C26:4M4(2)	416,142

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁M₄(2) = C₅₂⋊C₈	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₂₆	416		C26.1M4(2)	416,76
C₂₆.₂M₄(2) = C₂₆.C₄²	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₂₆	416		C26.2M4(2)	416,77
C₂₆.₃M₄(2) = D₂₆⋊C₈	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₂₆	208		C26.3M4(2)	416,78
C₂₆.₄M₄(2) = Dic₁₃⋊C₈	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₂₆	416		C26.4M4(2)	416,79
C₂₆.₅M₄(2) = C₂₆.M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₂₆	208		C26.5M4(2)	416,87
C₂₆.₆M₄(2) = C₅₂.₈Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₆	416		C26.6M4(2)	416,21
C₂₆.₇M₄(2) = C₁₀₄⋊₈C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₆	416		C26.7M4(2)	416,22
C₂₆.₈M₄(2) = D₂₆⋊₁C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₆	208		C26.8M4(2)	416,27
C₂₆.₉M₄(2) = C₂₆.₇C₄²	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.9M4(2)	416,10
C₂₆.₁₀M₄(2) = C₅₂⋊₃C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.10M4(2)	416,11
C₂₆.₁₁M₄(2) = C₅₂.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₆	208		C26.11M4(2)	416,37
C₂₆.₁₂M₄(2) = C₁₃×C₈⋊C₄	central extension (φ=1)	416		C26.12M4(2)	416,47
C₂₆.₁₃M₄(2) = C₁₃×C₂²⋊C₈	central extension (φ=1)	208		C26.13M4(2)	416,48
C₂₆.₁₄M₄(2) = C₁₃×C₄⋊C₈	central extension (φ=1)	416		C26.14M4(2)	416,55

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