Extensions 1→N→G→Q→1 with N=C₂² and Q=M₄(2)

Direct product G=N×Q with N=C₂² and Q=M₄(2)

		d	ρ	Label	ID
C₂²×M₄(2)		32		C2^2xM4(2)	64,247

Semidirect products G=N:Q with N=C₂² and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁M₄(2) = C₈⋊₉D₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂²	32		C2^2:1M4(2)	64,116
C₂²⋊₂M₄(2) = C₂⁴.₄C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	16		C2^2:2M4(2)	64,88

Non-split extensions G=N.Q with N=C₂² and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁M₄(2) = D₄.C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂²	32	2	C2^2.1M4(2)	64,31
C₂².₂M₄(2) = C₂³⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.2M4(2)	64,4
C₂².₃M₄(2) = C₂².M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.3M4(2)	64,5
C₂².₄M₄(2) = C₁₆⋊C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.4M4(2)	64,28
C₂².₅M₄(2) = C₈.C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	16	2	C2^2.5M4(2)	64,45
C₂².₆M₄(2) = C₄².₆C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.6M4(2)	64,113
C₂².₇M₄(2) = C₂².₇C₄²	central extension (φ=1)	64		C2^2.7M4(2)	64,17
C₂².₈M₄(2) = C₂×C₈⋊C₄	central extension (φ=1)	64		C2^2.8M4(2)	64,84
C₂².₉M₄(2) = C₂×C₂²⋊C₈	central extension (φ=1)	32		C2^2.9M4(2)	64,87
C₂².₁₀M₄(2) = C₂×C₄⋊C₈	central extension (φ=1)	64		C2^2.10M4(2)	64,103

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