Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂⁴

Direct product G=N×Q with N=D₁₀ and Q=C₂⁴

		d	ρ	Label	ID
D₅×C₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=D₁₀ and Q=C₂⁴

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊₁C₂⁴ = C₂³×D₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160	D10:1C2^4	320,1610
D₁₀⋊₂C₂⁴ = C₂²×D₄×D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	D10:2C2^4	320,1612
D₁₀⋊₃C₂⁴ = C₂³×C₅⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160	D10:3C2^4	320,1627

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₂⁴ = C₂²×C₄○D₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.1C2^4	320,1611
D₁₀.₂C₂⁴ = C₂²×D₄⋊₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.2C2^4	320,1613
D₁₀.₃C₂⁴ = C₂×D₄⋊₆D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.3C2^4	320,1614
D₁₀.₄C₂⁴ = C₂²×Q₈⋊₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.4C2^4	320,1616
D₁₀.₅C₂⁴ = C₂×Q₈.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.5C2^4	320,1617
D₁₀.₆C₂⁴ = C₂×D₄⋊₈D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.6C2^4	320,1619
D₁₀.₇C₂⁴ = C₂×D₄.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.7C2^4	320,1620
D₁₀.₈C₂⁴ = C₁₀.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	4	D10.8C2^4	320,1621
D₁₀.₉C₂⁴ = D₂₀.₃₇C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	8-	D10.9C2^4	320,1623
D₁₀.₁₀C₂⁴ = D₂₀.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	8+	D10.10C2^4	320,1625
D₁₀.₁₁C₂⁴ = C₂²×C₄×F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.11C2^4	320,1590
D₁₀.₁₂C₂⁴ = C₂²×C₄⋊F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.12C2^4	320,1591
D₁₀.₁₃C₂⁴ = C₂×D₁₀.C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.13C2^4	320,1592
D₁₀.₁₄C₂⁴ = C₂×D₄×F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	40		D10.14C2^4	320,1595
D₁₀.₁₅C₂⁴ = D₁₀.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	40	8+	D10.15C2^4	320,1596
D₁₀.₁₆C₂⁴ = C₂×Q₈×F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.16C2^4	320,1599
D₁₀.₁₇C₂⁴ = D₅.2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	8-	D10.17C2^4	320,1600
D₁₀.₁₈C₂⁴ = C₄○D₄×F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	40	8	D10.18C2^4	320,1603
D₁₀.₁₉C₂⁴ = D₅.2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	40	8	D10.19C2^4	320,1604
D₁₀.₂₀C₂⁴ = C₂²×C₂²⋊F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.20C2^4	320,1607
D₁₀.₂₁C₂⁴ = C₂⁴×F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.21C2^4	320,1638
D₁₀.₂₂C₂⁴ = D₅×C₂³×C₄	φ: trivial image	160		D10.22C2^4	320,1609
D₁₀.₂₃C₂⁴ = C₂²×Q₈×D₅	φ: trivial image	160		D10.23C2^4	320,1615
D₁₀.₂₄C₂⁴ = C₂×D₅×C₄○D₄	φ: trivial image	80		D10.24C2^4	320,1618
D₁₀.₂₅C₂⁴ = D₅×2₊¹⁺⁴	φ: trivial image	40	8+	D10.25C2^4	320,1622
D₁₀.₂₆C₂⁴ = D₅×2_-¹⁺⁴	φ: trivial image	80	8-	D10.26C2^4	320,1624

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Extensions 1→N→G→Q→1 with N=D10 and Q=C24

Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂⁴