Extensions 1→N→G→Q→1 with N=C₂₀.₁₀D₄ and Q=C₂

Direct product G=N×Q with N=C₂₀.₁₀D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀.₁₀D₄		160		C2xC20.10D4	320,853

Semidirect products G=N:Q with N=C₂₀.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.₁₀D₄⋊₁C₂ = (C₂×C₄).D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8+	C20.10D4:1C2	320,35
C₂₀.₁₀D₄⋊₂C₂ = C₄².Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	4	C20.10D4:2C2	320,100
C₂₀.₁₀D₄⋊₃C₂ = D₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8-	C20.10D4:3C2	320,377
C₂₀.₁₀D₄⋊₄C₂ = M₄(2).₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8+	C20.10D4:4C2	320,378
C₂₀.₁₀D₄⋊₅C₂ = D₂₀.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	4	C20.10D4:5C2	320,689
C₂₀.₁₀D₄⋊₆C₂ = D₂₀.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	4	C20.10D4:6C2	320,722
C₂₀.₁₀D₄⋊₇C₂ = C₄₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	4	C20.10D4:7C2	320,804
C₂₀.₁₀D₄⋊₈C₂ = C₄₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	160	4	C20.10D4:8C2	320,819
C₂₀.₁₀D₄⋊₉C₂ = M₄(2).₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8+	C20.10D4:9C2	320,830
C₂₀.₁₀D₄⋊₁₀C₂ = M₄(2).₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	160	8-	C20.10D4:10C2	320,831
C₂₀.₁₀D₄⋊₁₁C₂ = 2_-¹⁺⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8+	C20.10D4:11C2	320,872
C₂₀.₁₀D₄⋊₁₂C₂ = 2_-¹⁺⁴.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8-	C20.10D4:12C2	320,873
C₂₀.₁₀D₄⋊₁₃C₂ = (D₄×C₁₀).₂₉C₄	φ: trivial image	80	4	C20.10D4:13C2	320,864

Non-split extensions G=N.Q with N=C₂₀.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.₁₀D₄.₁C₂ = (C₂×Q₈).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	8-	C20.10D4.1C2	320,36
C₂₀.₁₀D₄.₂C₂ = C₄².₃Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₁₀D₄	80	4	C20.10D4.2C2	320,106

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