Extensions 1→N→G→Q→1 with N=C₄ and Q=M₅(2)

Direct product G=N×Q with N=C₄ and Q=M₅(2)

		d	ρ	Label	ID
C₄×M₅(2)		64		C4xM5(2)	128,839

Semidirect products G=N:Q with N=C₄ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁M₅(2) = C₁₆⋊₆D₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₄	64		C4:1M5(2)	128,901
C₄⋊₂M₅(2) = C₄⋊M₅(2)	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	64		C4:2M5(2)	128,882

Non-split extensions G=N.Q with N=C₄ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁M₅(2) = D₄⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₄	64		C4.1M5(2)	128,61
C₄.₂M₅(2) = Q₈⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₄	128		C4.2M5(2)	128,69
C₄.₃M₅(2) = C₁₆⋊₄Q₈	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₄	128		C4.3M5(2)	128,915
C₄.₄M₅(2) = C₈⋊₂C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	128		C4.4M5(2)	128,99
C₄.₅M₅(2) = C₈.₃₆D₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	128		C4.5M5(2)	128,102
C₄.₆M₅(2) = C₃₂⋊C₄	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	32	4	C4.6M5(2)	128,130
C₄.₇M₅(2) = C₂³.C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	32	4	C4.7M5(2)	128,132
C₄.₈M₅(2) = C₄².₆C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₄	64		C4.8M5(2)	128,895
C₄.₉M₅(2) = C₁₆⋊₅C₈	central extension (φ=1)	128		C4.9M5(2)	128,43
C₄.₁₀M₅(2) = C₈⋊C₁₆	central extension (φ=1)	128		C4.10M5(2)	128,44
C₄.₁₁M₅(2) = C₂²⋊C₃₂	central extension (φ=1)	64		C4.11M5(2)	128,131
C₄.₁₂M₅(2) = C₄⋊C₃₂	central extension (φ=1)	128		C4.12M5(2)	128,153
C₄.₁₃M₅(2) = C₄².₁₃C₈	central extension (φ=1)	64		C4.13M5(2)	128,894

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