Extensions 1→N→G→Q→1 with N=C₈.D₁₀ and Q=C₂

Direct product G=N×Q with N=C₈.D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.D₁₀		160		C2xC8.D10	320,1419

Semidirect products G=N:Q with N=C₈.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.D₁₀⋊₁C₂ = SD₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:1C2	320,1445
C₈.D₁₀⋊₂C₂ = D₈⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:2C2	320,1447
C₈.D₁₀⋊₃C₂ = D₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:3C2	320,1448
C₈.D₁₀⋊₄C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	160	8-	C8.D10:4C2	320,1451
C₈.D₁₀⋊₅C₂ = D₂₀.₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:5C2	320,373
C₈.D₁₀⋊₆C₂ = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:6C2	320,375
C₈.D₁₀⋊₇C₂ = D₂₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	8-	C8.D10:7C2	320,379
C₈.D₁₀⋊₈C₂ = M₄(2)⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	4	C8.D10:8C2	320,452
C₈.D₁₀⋊₉C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	4-	C8.D10:9C2	320,453
C₈.D₁₀⋊₁₀C₂ = C₈.₂₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	4	C8.D10:10C2	320,525
C₈.D₁₀⋊₁₁C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	80	4	C8.D10:11C2	320,1423
C₈.D₁₀⋊₁₂C₂ = D₄.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	160	4-	C8.D10:12C2	320,1425
C₈.D₁₀⋊₁₃C₂ = C₄₀.₉C₂³	φ: trivial image	80	4	C8.D10:13C2	320,1420

Non-split extensions G=N.Q with N=C₈.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.D₁₀.₁C₂ = D₂₀.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	160	8-	C8.D10.1C2	320,382
C₈.D₁₀.₂C₂ = C₈.₂₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₁₀	160	4-	C8.D10.2C2	320,523

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