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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₄ = M₄(2)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2):1C4	64,109
M₄(2)⋊₂C₄ = C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	16		M4(2):2C4	64,20
M₄(2)⋊₃C₄ = C₂².C₄²	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2):3C4	64,24
M₄(2)⋊₄C₄ = M₄(2)⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2):4C4	64,25
M₄(2)⋊₅C₄ = C₈○₂M₄(2)	φ: trivial image	32		M4(2):5C4	64,86

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

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₄ = M₄(2).C₄	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2).1C4	64,111
M₄(2).₂C₄ = C₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2).2C4	64,22
M₄(2).₃C₄ = D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out M₄(2)	32	2	M4(2).3C4	64,31
M₄(2).₄C₄ = D₄○C₁₆	φ: trivial image	32	2	M4(2).4C4	64,185

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