Extensions 1→N→G→Q→1 with N=C₄.₁₂D₂₀ and Q=C₂

Direct product G=N×Q with N=C₄.₁₂D₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.₁₂D₂₀		160		C2xC4.12D20	320,763

Semidirect products G=N:Q with N=C₄.₁₂D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₂D₂₀⋊₁C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	4-	C4.12D20:1C2	320,453
C₄.₁₂D₂₀⋊₂C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	4	C4.12D20:2C2	320,454
C₄.₁₂D₂₀⋊₃C₂ = C₈.₂₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	160	4-	C4.12D20:3C2	320,523
C₄.₁₂D₂₀⋊₄C₂ = C₈.₂₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	4	C4.12D20:4C2	320,525
C₄.₁₂D₂₀⋊₅C₂ = M₄(2).₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:5C2	320,372
C₄.₁₂D₂₀⋊₆C₂ = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:6C2	320,375
C₄.₁₂D₂₀⋊₇C₂ = D₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:7C2	320,377
C₄.₁₂D₂₀⋊₈C₂ = D₂₀.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	160	8-	C4.12D20:8C2	320,382
C₄.₁₂D₂₀⋊₉C₂ = M₄(2).₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:9C2	320,827
C₄.₁₂D₂₀⋊₁₀C₂ = D₂₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:10C2	320,828
C₄.₁₂D₂₀⋊₁₁C₂ = M₄(2).₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	160	8-	C4.12D20:11C2	320,831
C₄.₁₂D₂₀⋊₁₂C₂ = D₂₀.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	8-	C4.12D20:12C2	320,832
C₄.₁₂D₂₀⋊₁₃C₂ = D₄.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	80	4	C4.12D20:13C2	320,768
C₄.₁₂D₂₀⋊₁₄C₂ = D₄.₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₀	160	4-	C4.12D20:14C2	320,770
C₄.₁₂D₂₀⋊₁₅C₂ = M₄(2).₃₁D₁₀	φ: trivial image	80	4	C4.12D20:15C2	320,759

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