Extensions 1→N→G→Q→1 with N=C₂² and Q=M₅(2)

Direct product G=N×Q with N=C₂² and Q=M₅(2)

		d	ρ	Label	ID
C₂²×M₅(2)		64		C2^2xM5(2)	128,2137

Semidirect products G=N:Q with N=C₂² and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁M₅(2) = C₁₆⋊₉D₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:1M5(2)	128,900
C₂²⋊₂M₅(2) = C₂⁴.₅C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2:2M5(2)	128,844

Non-split extensions G=N.Q with N=C₂² and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁M₅(2) = D₄.C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₂²	64	2	C2^2.1M5(2)	128,133
C₂².₂M₅(2) = C₂³⋊C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.2M5(2)	128,46
C₂².₃M₅(2) = C₂².M₅(2)	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.3M5(2)	128,54
C₂².₄M₅(2) = C₃₂⋊C₄	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.4M5(2)	128,130
C₂².₅M₅(2) = C₈.C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32	2	C2^2.5M5(2)	128,154
C₂².₆M₅(2) = C₄².₆C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.6M5(2)	128,895
C₂².₇M₅(2) = C₂².₇M₅(2)	central extension (φ=1)	128		C2^2.7M5(2)	128,106
C₂².₈M₅(2) = C₂×C₁₆⋊₅C₄	central extension (φ=1)	128		C2^2.8M5(2)	128,838
C₂².₉M₅(2) = C₂×C₂²⋊C₁₆	central extension (φ=1)	64		C2^2.9M5(2)	128,843
C₂².₁₀M₅(2) = C₂×C₄⋊C₁₆	central extension (φ=1)	128		C2^2.10M5(2)	128,881

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