Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=C₁₀

Direct product G=N×Q with N=C₂²×D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₂²×C₁₀		160		D4xC2^2xC10	320,1629

Semidirect products G=N:Q with N=C₂²×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁C₁₀ = C₅×C₂³⋊₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):1C10	320,893
(C₂²×D₄)⋊₂C₁₀ = C₅×C₂²⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):2C10	320,948
(C₂²×D₄)⋊₃C₁₀ = C₁₀×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):3C10	320,1523
(C₂²×D₄)⋊₄C₁₀ = C₁₀×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):4C10	320,1524
(C₂²×D₄)⋊₅C₁₀ = C₁₀×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):5C10	320,1532
(C₂²×D₄)⋊₆C₁₀ = C₅×C₂³⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):6C10	320,1536
(C₂²×D₄)⋊₇C₁₀ = C₅×C₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):7C10	320,1537
(C₂²×D₄)⋊₈C₁₀ = C₅×D₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):8C10	320,1547
(C₂²×D₄)⋊₉C₁₀ = C₅×D₄⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):9C10	320,1548
(C₂²×D₄)⋊₁₀C₁₀ = D₈×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):10C10	320,1571
(C₂²×D₄)⋊₁₁C₁₀ = C₁₀×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):11C10	320,1575
(C₂²×D₄)⋊₁₂C₁₀ = C₁₀×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):12C10	320,1632
(C₂²×D₄)⋊₁₃C₁₀ = C₄○D₄×C₂×C₁₀	φ: trivial image	160		(C2^2xD4):13C10	320,1631

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).₁C₁₀ = C₅×C₂³.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).1C10	320,887
(C₂²×D₄).₂C₁₀ = C₅×C₂⁴.₃C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).2C10	320,891
(C₂²×D₄).₃C₁₀ = C₅×C₂³.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).3C10	320,895
(C₂²×D₄).₄C₁₀ = C₁₀×C₂³⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).4C10	320,910
(C₂²×D₄).₅C₁₀ = C₁₀×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).5C10	320,912
(C₂²×D₄).₆C₁₀ = C₁₀×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).6C10	320,915
(C₂²×D₄).₇C₁₀ = C₅×C₂³.₃₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).7C10	320,919
(C₂²×D₄).₈C₁₀ = C₅×C₂²⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).8C10	320,951
(C₂²×D₄).₉C₁₀ = C₅×C₂².₁₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).9C10	320,1520
(C₂²×D₄).₁₀C₁₀ = C₁₀×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).10C10	320,1526
(C₂²×D₄).₁₁C₁₀ = C₁₀×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).11C10	320,1528
(C₂²×D₄).₁₂C₁₀ = SD₁₆×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).12C10	320,1572
(C₂²×D₄).₁₃C₁₀ = D₄×C₂×C₂₀	φ: trivial image	160		(C2^2xD4).13C10	320,1517

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