Extensions 1→N→G→Q→1 with N=C₂₀.₅₃D₄ and Q=C₂

Direct product G=N×Q with N=C₂₀.₅₃D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀.₅₃D₄		160		C2xC20.53D4	320,750

Semidirect products G=N:Q with N=C₂₀.₅₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.₅₃D₄⋊₁C₂ = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8-	C20.53D4:1C2	320,375
C₂₀.₅₃D₄⋊₂C₂ = D₂₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8+	C20.53D4:2C2	320,376
C₂₀.₅₃D₄⋊₃C₂ = D₂₀.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8+	C20.53D4:3C2	320,381
C₂₀.₅₃D₄⋊₄C₂ = D₂₀.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	160	8-	C20.53D4:4C2	320,382
C₂₀.₅₃D₄⋊₅C₂ = M₄(2).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:5C2	320,450
C₂₀.₅₃D₄⋊₆C₂ = C₄².₁₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:6C2	320,451
C₂₀.₅₃D₄⋊₇C₂ = D₅×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:7C2	320,519
C₂₀.₅₃D₄⋊₈C₂ = M₄(2).₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:8C2	320,520
C₂₀.₅₃D₄⋊₉C₂ = M₄(2).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8+	C20.53D4:9C2	320,826
C₂₀.₅₃D₄⋊₁₀C₂ = M₄(2).₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8-	C20.53D4:10C2	320,827
C₂₀.₅₃D₄⋊₁₁C₂ = M₄(2).₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	8+	C20.53D4:11C2	320,830
C₂₀.₅₃D₄⋊₁₂C₂ = M₄(2).₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	160	8-	C20.53D4:12C2	320,831
C₂₀.₅₃D₄⋊₁₃C₂ = C₂³.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:13C2	320,751
C₂₀.₅₃D₄⋊₁₄C₂ = C₄₀.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.₅₃D₄	80	4	C20.53D4:14C2	320,772
C₂₀.₅₃D₄⋊₁₅C₂ = C₄₀.₉₃D₄	φ: trivial image	80	4	C20.53D4:15C2	320,771

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