Extensions 1→N→G→Q→1 with N=D₂₀⋊₄C₄ and Q=C₂

Direct product G=N×Q with N=D₂₀⋊₄C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₀⋊₄C₄		80		C2xD20:4C4	320,554

Semidirect products G=N:Q with N=D₂₀⋊₄C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₄C₄⋊₁C₂ = D₄₀⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:1C2	320,344
D₂₀⋊₄C₄⋊₂C₂ = C₄²⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:2C2	320,632
D₂₀⋊₄C₄⋊₃C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	40	4	D20:4C4:3C2	320,447
D₂₀⋊₄C₄⋊₄C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:4C2	320,448
D₂₀⋊₄C₄⋊₅C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	40	4+	D20:4C4:5C2	320,449
D₂₀⋊₄C₄⋊₆C₂ = M₄(2).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:6C2	320,450
D₂₀⋊₄C₄⋊₇C₂ = C₄².₁₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:7C2	320,451
D₂₀⋊₄C₄⋊₈C₂ = M₄(2)⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:8C2	320,452
D₂₀⋊₄C₄⋊₉C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4-	D20:4C4:9C2	320,453
D₂₀⋊₄C₄⋊₁₀C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:10C2	320,454
D₂₀⋊₄C₄⋊₁₁C₂ = C₄²⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:11C2	320,688
D₂₀⋊₄C₄⋊₁₂C₂ = D₂₀.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:12C2	320,689
D₂₀⋊₄C₄⋊₁₃C₂ = D₂₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	40	4	D20:4C4:13C2	320,704
D₂₀⋊₄C₄⋊₁₄C₂ = D₂₀.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₄C₄	80	4	D20:4C4:14C2	320,722
D₂₀⋊₄C₄⋊₁₅C₂ = D₄₀⋊₁₇C₄	φ: trivial image	80	2	D20:4C4:15C2	320,327

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