Extensions 1→N→G→Q→1 with N=C₄ and Q=M₄(2)

Direct product G=N×Q with N=C₄ and Q=M₄(2)

		d	ρ	Label	ID
C₄×M₄(2)		32		C4xM4(2)	64,85

Semidirect products G=N:Q with N=C₄ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁M₄(2) = C₈⋊₆D₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₄	32		C4:1M4(2)	64,117
C₄⋊₂M₄(2) = C₄⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	32		C4:2M4(2)	64,104

Non-split extensions G=N.Q with N=C₄ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁M₄(2) = D₄⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₄	32		C4.1M4(2)	64,6
C₄.₂M₄(2) = Q₈⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₄	64		C4.2M4(2)	64,7
C₄.₃M₄(2) = C₈⋊₄Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₄	64		C4.3M4(2)	64,127
C₄.₄M₄(2) = C₈⋊₂C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	64		C4.4M4(2)	64,15
C₄.₅M₄(2) = C₈⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	64		C4.5M4(2)	64,16
C₄.₆M₄(2) = C₁₆⋊C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	16	4	C4.6M4(2)	64,28
C₄.₇M₄(2) = C₂³.C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	16	4	C4.7M4(2)	64,30
C₄.₈M₄(2) = C₄².₆C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₄	32		C4.8M4(2)	64,113
C₄.₉M₄(2) = C₈⋊C₈	central extension (φ=1)	64		C4.9M4(2)	64,3
C₄.₁₀M₄(2) = C₂²⋊C₁₆	central extension (φ=1)	32		C4.10M4(2)	64,29
C₄.₁₁M₄(2) = C₄⋊C₁₆	central extension (φ=1)	64		C4.11M4(2)	64,44
C₄.₁₂M₄(2) = C₄².₁₂C₄	central extension (φ=1)	32		C4.12M4(2)	64,112

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