Extensions 1→N→G→Q→1 with N=D₂₀.₂C₄ and Q=C₂

Direct product G=N×Q with N=D₂₀.₂C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₀.₂C₄		160		C2xD20.2C4	320,1416

Semidirect products G=N:Q with N=D₂₀.₂C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₂C₄⋊₁C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8+	D20.2C4:1C2	320,1446
D₂₀.₂C₄⋊₂C₂ = D₈⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8-	D20.2C4:2C2	320,1447
D₂₀.₂C₄⋊₃C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8+	D20.2C4:3C2	320,1450
D₂₀.₂C₄⋊₄C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	160	8-	D20.2C4:4C2	320,1451
D₂₀.₂C₄⋊₅C₂ = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8-	D20.2C4:5C2	320,375
D₂₀.₂C₄⋊₆C₂ = D₂₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8+	D20.2C4:6C2	320,376
D₂₀.₂C₄⋊₇C₂ = D₂₀.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	8+	D20.2C4:7C2	320,381
D₂₀.₂C₄⋊₈C₂ = M₄(2).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:8C2	320,450
D₂₀.₂C₄⋊₉C₂ = C₄².₁₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:9C2	320,451
D₂₀.₂C₄⋊₁₀C₂ = D₄₀⋊₁₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:10C2	320,521
D₂₀.₂C₄⋊₁₁C₂ = D₄₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:11C2	320,522
D₂₀.₂C₄⋊₁₂C₂ = C₄₀.₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:12C2	320,1417
D₂₀.₂C₄⋊₁₃C₂ = C₂₀.₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	80	4	D20.2C4:13C2	320,1422
D₂₀.₂C₄⋊₁₄C₂ = D₅×C₈○D₄	φ: trivial image	80	4	D20.2C4:14C2	320,1421

Non-split extensions G=N.Q with N=D₂₀.₂C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₂C₄.₁C₂ = D₂₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	160	8	D20.2C4.1C2	320,236
D₂₀.₂C₄.₂C₂ = D₂₀.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	160	8-	D20.2C4.2C2	320,382
D₂₀.₂C₄.₃C₂ = Dic₁₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₀.₂C₄	160	8	D20.2C4.3C2	320,1063

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