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

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

		d	ρ	Label	ID
D₅xC₂⁵		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 = C₂³xD₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160	D10:1C2^4	320,1610
D₁₀:₂C₂⁴ = C₂²xD₄xD₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80	D10:2C2^4	320,1612
D₁₀:₃C₂⁴ = C₂³xC₅: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 = C₂²xC₄oD₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.1C2^4	320,1611
D₁₀.₂C₂⁴ = C₂²xD₄:₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.2C2^4	320,1613
D₁₀.₃C₂⁴ = C₂xD₄:₆D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.3C2^4	320,1614
D₁₀.₄C₂⁴ = C₂²xQ₈:₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.4C2^4	320,1616
D₁₀.₅C₂⁴ = C₂xQ₈.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	160		D10.5C2^4	320,1617
D₁₀.₆C₂⁴ = C₂xD₄:₈D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.6C2^4	320,1619
D₁₀.₇C₂⁴ = C₂xD₄.₁₀D₁₀	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 = C₂²xC₄xF₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.11C2^4	320,1590
D₁₀.₁₂C₂⁴ = C₂²xC₄:F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.12C2^4	320,1591
D₁₀.₁₃C₂⁴ = C₂xD₁₀.C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.13C2^4	320,1592
D₁₀.₁₄C₂⁴ = C₂xD₄xF₅	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 = C₂xQ₈xF₅	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 = C₄oD₄xF₅	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 = C₂²xC₂²:F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.20C2^4	320,1607
D₁₀.₂₁C₂⁴ = C₂⁴xF₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₀	80		D10.21C2^4	320,1638
D₁₀.₂₂C₂⁴ = D₅xC₂³xC₄	φ: trivial image	160		D10.22C2^4	320,1609
D₁₀.₂₃C₂⁴ = C₂²xQ₈xD₅	φ: trivial image	160		D10.23C2^4	320,1615
D₁₀.₂₄C₂⁴ = C₂xD₅xC₄oD₄	φ: trivial image	80		D10.24C2^4	320,1618
D₁₀.₂₅C₂⁴ = D₅x2₊¹⁺⁴	φ: trivial image	40	8+	D10.25C2^4	320,1622
D₁₀.₂₆C₂⁴ = D₅x2_-¹⁺⁴	φ: trivial image	80	8-	D10.26C2^4	320,1624

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

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