Extensions 1→N→G→Q→1 with N=D₄⋊₂Dic₅ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂Dic₅		80		C2xD4:2Dic5	320,862

Semidirect products G=N:Q with N=D₄⋊₂Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂Dic₅⋊₁C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	40	4	D4:2Dic5:1C2	320,447
D₄⋊₂Dic₅⋊₂C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	4	D4:2Dic5:2C2	320,448
D₄⋊₂Dic₅⋊₃C₂ = C₄₀.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	4	D4:2Dic5:3C2	320,772
D₄⋊₂Dic₅⋊₄C₂ = D₈⋊₅Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	4	D4:2Dic5:4C2	320,823
D₄⋊₂Dic₅⋊₅C₂ = D₈⋊₄Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	4	D4:2Dic5:5C2	320,824
D₄⋊₂Dic₅⋊₆C₂ = D₂₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	40	8+	D4:2Dic5:6C2	320,825
D₄⋊₂Dic₅⋊₇C₂ = D₂₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8-	D4:2Dic5:7C2	320,828
D₄⋊₂Dic₅⋊₈C₂ = D₂₀.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8+	D4:2Dic5:8C2	320,829
D₄⋊₂Dic₅⋊₉C₂ = D₂₀.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8-	D4:2Dic5:9C2	320,832
D₄⋊₂Dic₅⋊₁₀C₂ = (D₄×C₁₀)⋊₂₁C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	4	D4:2Dic5:10C2	320,863
D₄⋊₂Dic₅⋊₁₁C₂ = 2₊¹⁺⁴⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	40	8+	D4:2Dic5:11C2	320,868
D₄⋊₂Dic₅⋊₁₂C₂ = 2₊¹⁺⁴.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8-	D4:2Dic5:12C2	320,869
D₄⋊₂Dic₅⋊₁₃C₂ = 2_-¹⁺⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8+	D4:2Dic5:13C2	320,872
D₄⋊₂Dic₅⋊₁₄C₂ = 2_-¹⁺⁴.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂Dic₅	80	8-	D4:2Dic5:14C2	320,873
D₄⋊₂Dic₅⋊₁₅C₂ = C₄₀.₉₃D₄	φ: trivial image	80	4	D4:2Dic5:15C2	320,771

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