Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂⁴

Direct product G=NxQ with N=Dic₅ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴xDic₅		320		C2^4xDic5	320,1626

Semidirect products G=N:Q with N=Dic₅ and Q=C₂⁴

extension	φ:Q→Out N	d	Label	ID
Dic₅:₁C₂⁴ = C₂²xD₄xD₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	Dic5:1C2^4	320,1612
Dic₅:₂C₂⁴ = C₂³xC₅:D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160	Dic5:2C2^4	320,1627
Dic₅:₃C₂⁴ = D₅xC₂³xC₄	φ: trivial image	160	Dic5:3C2^4	320,1609

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₂⁴ = C₂³xDic₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	320		Dic5.1C2^4	320,1608
Dic₅.₂C₂⁴ = C₂²xC₄oD₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.2C2^4	320,1611
Dic₅.₃C₂⁴ = C₂xD₄:₆D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80		Dic5.3C2^4	320,1614
Dic₅.₄C₂⁴ = C₂²xQ₈xD₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.4C2^4	320,1615
Dic₅.₅C₂⁴ = C₂xQ₈.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.5C2^4	320,1617
Dic₅.₆C₂⁴ = C₂xD₅xC₄oD₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80		Dic5.6C2^4	320,1618
Dic₅.₇C₂⁴ = C₂xD₄:₈D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80		Dic5.7C2^4	320,1619
Dic₅.₈C₂⁴ = C₂xD₄.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.8C2^4	320,1620
Dic₅.₉C₂⁴ = C₁₀.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	4	Dic5.9C2^4	320,1621
Dic₅.₁₀C₂⁴ = D₅x2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	40	8+	Dic5.10C2^4	320,1622
Dic₅.₁₁C₂⁴ = D₂₀.₃₇C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8-	Dic5.11C2^4	320,1623
Dic₅.₁₂C₂⁴ = D₅x2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8-	Dic5.12C2^4	320,1624
Dic₅.₁₃C₂⁴ = D₂₀.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8+	Dic5.13C2^4	320,1625
Dic₅.₁₄C₂⁴ = C₂²xD₅:C₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.14C2^4	320,1587
Dic₅.₁₅C₂⁴ = C₂²xC₄.F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.15C2^4	320,1588
Dic₅.₁₆C₂⁴ = C₂xD₅:M₄(2)	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80		Dic5.16C2^4	320,1589
Dic₅.₁₇C₂⁴ = C₂xD₄.F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.17C2^4	320,1593
Dic₅.₁₈C₂⁴ = Dic₅.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8-	Dic5.18C2^4	320,1594
Dic₅.₁₉C₂⁴ = C₂xQ₈.F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.19C2^4	320,1597
Dic₅.₂₀C₂⁴ = Dic₅.₂₀C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8+	Dic5.20C2^4	320,1598
Dic₅.₂₁C₂⁴ = Dic₅.₂₁C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8	Dic5.21C2^4	320,1601
Dic₅.₂₂C₂⁴ = Dic₅.₂₂C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	80	8	Dic5.22C2^4	320,1602
Dic₅.₂₃C₂⁴ = C₂³xC₅:C₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	320		Dic5.23C2^4	320,1605
Dic₅.₂₄C₂⁴ = C₂²xC₂².F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₅	160		Dic5.24C2^4	320,1606
Dic₅.₂₅C₂⁴ = C₂²xD₄:₂D₅	φ: trivial image	160		Dic5.25C2^4	320,1613
Dic₅.₂₆C₂⁴ = C₂²xQ₈:₂D₅	φ: trivial image	160		Dic5.26C2^4	320,1616

Extensions 1→N→G→Q→1 with N=Dic5 and Q=C24

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂⁴