Extensions 1→N→G→Q→1 with N=D₄ and Q=M₄(2)

Direct product G=N×Q with N=D₄ and Q=M₄(2)

		d	ρ	Label	ID
D₄×M₄(2)		32		D4xM4(2)	128,1666

Semidirect products G=N:Q with N=D₄ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁M₄(2) = C₈⋊₉D₈	φ: M₄(2)/C₈ → C₂ ⊆ Out D₄	64		D4:1M4(2)	128,313
D₄⋊₂M₄(2) = D₄⋊₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₄	64		D4:2M4(2)	128,318
D₄⋊₃M₄(2) = D₄⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₄	32		D4:3M4(2)	128,218
D₄⋊₄M₄(2) = D₄⋊₄M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:4M4(2)	128,221
D₄⋊₅M₄(2) = D₄⋊₅M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₄	32		D4:5M4(2)	128,222
D₄⋊₆M₄(2) = D₄⋊₆M₄(2)	φ: trivial image	64		D4:6M4(2)	128,1702
D₄⋊₇M₄(2) = D₄⋊₇M₄(2)	φ: trivial image	32		D4:7M4(2)	128,1706
D₄⋊₈M₄(2) = D₄⋊₈M₄(2)	φ: trivial image	64		D4:8M4(2)	128,1722

Non-split extensions G=N.Q with N=D₄ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁M₄(2) = C₈⋊₁₂SD₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Out D₄	64		D4.1M4(2)	128,314
D₄.₂M₄(2) = D₄.M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₄	64		D4.2M4(2)	128,317
D₄.₃M₄(2) = C₄².₃₇₄D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₄	64		D4.3M4(2)	128,220

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