Extensions 1→N→G→Q→1 with N=Q₈ and Q=M₄(2)

Direct product G=N×Q with N=Q₈ and Q=M₄(2)

		d	ρ	Label	ID
Q₈×M₄(2)		64		Q8xM4(2)	128,1695

Semidirect products G=N:Q with N=Q₈ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁M₄(2) = C₈⋊₁₅SD₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Out Q₈	64		Q8:1M4(2)	128,315
Q₈⋊₂M₄(2) = Q₈⋊₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Q₈	64		Q8:2M4(2)	128,320
Q₈⋊₃M₄(2) = Q₈⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8:3M4(2)	128,219
Q₈⋊₄M₄(2) = D₄⋊₄M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8:4M4(2)	128,221
Q₈⋊₅M₄(2) = Q₈⋊₅M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8:5M4(2)	128,223
Q₈⋊₆M₄(2) = Q₈⋊₆M₄(2)	φ: trivial image	64		Q8:6M4(2)	128,1703
Q₈⋊₇M₄(2) = Q₈⋊₇M₄(2)	φ: trivial image	64		Q8:7M4(2)	128,1723

Non-split extensions G=N.Q with N=Q₈ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁M₄(2) = C₈⋊₉Q₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Out Q₈	128		Q8.1M4(2)	128,316
Q₈.₂M₄(2) = Q₈.M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Q₈	128		Q8.2M4(2)	128,319
Q₈.₃M₄(2) = C₄².₃₇₄D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8.3M4(2)	128,220
Q₈.₄M₄(2) = Q₈.₄M₄(2)	φ: trivial image	64		Q8.4M4(2)	128,1716

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