Extensions 1→N→G→Q→1 with N=D₄⋊Dic₅ and Q=C₂

Direct product G=N×Q with N=D₄⋊Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊Dic₅		160		C2xD4:Dic5	320,841

Semidirect products G=N:Q with N=D₄⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₄⋊Dic₅⋊₁C₂ = Dic₅.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:1C2	320,387
D₄⋊Dic₅⋊₂C₂ = C₄⋊C₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:2C2	320,391
D₄⋊Dic₅⋊₃C₂ = D₅×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:3C2	320,396
D₄⋊Dic₅⋊₄C₂ = (D₄×D₅)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:4C2	320,397
D₄⋊Dic₅⋊₅C₂ = D₄⋊(C₄×D₅)	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:5C2	320,398
D₄⋊Dic₅⋊₆C₂ = D₄⋊₂D₅⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:6C2	320,399
D₄⋊Dic₅⋊₇C₂ = D₁₀.₁₂D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:7C2	320,401
D₄⋊Dic₅⋊₈C₂ = D₁₀.₁₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:8C2	320,404
D₄⋊Dic₅⋊₉C₂ = C₄₀⋊₆C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:9C2	320,406
D₄⋊Dic₅⋊₁₀C₂ = C₄₀⋊₅C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:10C2	320,411
D₄⋊Dic₅⋊₁₁C₂ = C₄².₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:11C2	320,641
D₄⋊Dic₅⋊₁₂C₂ = (C₂×C₁₀).D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:12C2	320,660
D₄⋊Dic₅⋊₁₃C₂ = C₄⋊D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:13C2	320,661
D₄⋊Dic₅⋊₁₄C₂ = (C₂×D₄).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:14C2	320,662
D₄⋊Dic₅⋊₁₅C₂ = (C₂×C₁₀)⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:15C2	320,665
D₄⋊Dic₅⋊₁₆C₂ = C₄⋊D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:16C2	320,666
D₄⋊Dic₅⋊₁₇C₂ = C₅⋊₂C₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:17C2	320,668
D₄⋊Dic₅⋊₁₈C₂ = C₄.(D₄×D₅)	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:18C2	320,669
D₄⋊Dic₅⋊₁₉C₂ = D₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:19C2	320,684
D₄⋊Dic₅⋊₂₀C₂ = C₂₀.₁₆D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:20C2	320,697
D₄⋊Dic₅⋊₂₁C₂ = C₄².₇₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:21C2	320,698
D₄⋊Dic₅⋊₂₂C₂ = C₂₀⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:22C2	320,699
D₄⋊Dic₅⋊₂₃C₂ = Dic₁₀⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:23C2	320,702
D₄⋊Dic₅⋊₂₄C₂ = D₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:24C2	320,776
D₄⋊Dic₅⋊₂₅C₂ = Dic₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:25C2	320,777
D₄⋊Dic₅⋊₂₆C₂ = D₈⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:26C2	320,779
D₄⋊Dic₅⋊₂₇C₂ = (C₂×D₈).D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:27C2	320,780
D₄⋊Dic₅⋊₂₈C₂ = D₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:28C2	320,783
D₄⋊Dic₅⋊₂₉C₂ = C₄₀⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:29C2	320,784
D₄⋊Dic₅⋊₃₀C₂ = Dic₁₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:30C2	320,785
D₄⋊Dic₅⋊₃₁C₂ = C₄₀⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:31C2	320,786
D₄⋊Dic₅⋊₃₂C₂ = Dic₅⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:32C2	320,790
D₄⋊Dic₅⋊₃₃C₂ = D₁₀⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:33C2	320,796
D₄⋊Dic₅⋊₃₄C₂ = C₄₀⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:34C2	320,798
D₄⋊Dic₅⋊₃₅C₂ = Dic₁₀.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:35C2	320,800
D₄⋊Dic₅⋊₃₆C₂ = C₄₀⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:36C2	320,801
D₄⋊Dic₅⋊₃₇C₂ = (D₄×C₁₀)⋊₁₈C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:37C2	320,842
D₄⋊Dic₅⋊₃₈C₂ = (C₂×C₁₀)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:38C2	320,844
D₄⋊Dic₅⋊₃₉C₂ = (C₅×D₄).₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	80	D4:Dic5:39C2	320,845
D₄⋊Dic₅⋊₄₀C₂ = C₄○D₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:40C2	320,859
D₄⋊Dic₅⋊₄₁C₂ = (C₅×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:41C2	320,865
D₄⋊Dic₅⋊₄₂C₂ = (C₅×D₄).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5:42C2	320,866
D₄⋊Dic₅⋊₄₃C₂ = C₄×D₄⋊D₅	φ: trivial image	160	D4:Dic5:43C2	320,640
D₄⋊Dic₅⋊₄₄C₂ = C₂₀.(C₂×D₄)	φ: trivial image	160	D4:Dic5:44C2	320,860

Non-split extensions G=N.Q with N=D₄⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₄⋊Dic₅.₁C₂ = Dic₅.₁₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.1C2	320,386
D₄⋊Dic₅.₂C₂ = D₄⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.2C2	320,388
D₄⋊Dic₅.₃C₂ = D₄.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.3C2	320,390
D₄⋊Dic₅.₄C₂ = C₂₀⋊Q₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.4C2	320,392
D₄⋊Dic₅.₅C₂ = D₄.₂Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.5C2	320,393
D₄⋊Dic₅.₆C₂ = (C₈×Dic₅)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.6C2	320,395
D₄⋊Dic₅.₇C₂ = C₂₀.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.7C2	320,634
D₄⋊Dic₅.₈C₂ = C₂₀.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.8C2	320,635
D₄⋊Dic₅.₉C₂ = D₄.₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.9C2	320,636
D₄⋊Dic₅.₁₀C₂ = C₄².₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.10C2	320,645
D₄⋊Dic₅.₁₁C₂ = C₄².₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.11C2	320,681
D₄⋊Dic₅.₁₂C₂ = C₄².₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.12C2	320,682
D₄⋊Dic₅.₁₃C₂ = C₄².₂₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.13C2	320,683
D₄⋊Dic₅.₁₄C₂ = SD₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.14C2	320,788
D₄⋊Dic₅.₁₅C₂ = SD₁₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.15C2	320,791
D₄⋊Dic₅.₁₆C₂ = (C₅×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊Dic₅	160	D4:Dic5.16C2	320,793
D₄⋊Dic₅.₁₇C₂ = C₄×D₄.D₅	φ: trivial image	160	D4:Dic5.17C2	320,644

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Extensions 1→N→G→Q→1 with N=D4⋊Dic5 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄⋊Dic₅ and Q=C₂