Extensions 1→N→G→Q→1 with N=Q₈○M₄(2) and Q=C₂

Direct product G=N×Q with N=Q₈○M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×Q₈○M₄(2)		32		C2xQ8oM4(2)	128,2304

Semidirect products G=N:Q with N=Q₈○M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈○M₄(2)⋊₁C₂ = M₄(2).₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):1C2	128,1800
Q₈○M₄(2)⋊₂C₂ = M₄(2).₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2):2C2	128,1801
Q₈○M₄(2)⋊₃C₂ = D₈⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):3C2	128,2317
Q₈○M₄(2)⋊₄C₂ = C₄.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2):4C2	128,2318
Q₈○M₄(2)⋊₅C₂ = M₄(2).₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	4	Q8oM4(2):5C2	128,613
Q₈○M₄(2)⋊₆C₂ = M₄(2)⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	4	Q8oM4(2):6C2	128,616
Q₈○M₄(2)⋊₇C₂ = (C₂×C₈)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	4	Q8oM4(2):7C2	128,623
Q₈○M₄(2)⋊₈C₂ = M₄(2).₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):8C2	128,635
Q₈○M₄(2)⋊₉C₂ = (C₂×C₈)⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):9C2	128,642
Q₈○M₄(2)⋊₁₀C₂ = M₄(2)⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):10C2	128,646
Q₈○M₄(2)⋊₁₁C₂ = M₄(2).₂₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	8+	Q8oM4(2):11C2	128,1620
Q₈○M₄(2)⋊₁₂C₂ = M₄(2).₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2):12C2	128,1621
Q₈○M₄(2)⋊₁₃C₂ = 2_-¹⁺⁴⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	4	Q8oM4(2):13C2	128,1633
Q₈○M₄(2)⋊₁₄C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	4	Q8oM4(2):14C2	128,1688
Q₈○M₄(2)⋊₁₅C₂ = M₄(2)○D₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	4	Q8oM4(2):15C2	128,1689
Q₈○M₄(2)⋊₁₆C₂ = C₄.₂₂C₂⁵	φ: trivial image	32	4	Q8oM4(2):16C2	128,2305

Non-split extensions G=N.Q with N=Q₈○M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈○M₄(2).₁C₂ = M₄(2).₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	4	Q8oM4(2).1C2	128,590
Q₈○M₄(2).₂C₂ = M₄(2).₄₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	16	4	Q8oM4(2).2C2	128,593
Q₈○M₄(2).₃C₂ = (C₂×D₄).Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	4	Q8oM4(2).3C2	128,600
Q₈○M₄(2).₄C₂ = M₄(2).₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2).4C2	128,634
Q₈○M₄(2).₅C₂ = C₄.(C₄×D₄)	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2).5C2	128,641
Q₈○M₄(2).₆C₂ = M₄(2).₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	8-	Q8oM4(2).6C2	128,647
Q₈○M₄(2).₇C₂ = M₄(2).₂₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○M₄(2)	32	4	Q8oM4(2).7C2	128,1648

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