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		80		C2xC8:D10	320,1418

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₁₀⋊₁C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	40	8+	C8:D10:1C2	320,1444
C₈⋊D₁₀⋊₂C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10:2C2	320,1446
C₈⋊D₁₀⋊₃C₂ = D₄₀⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10:3C2	320,1449
C₈⋊D₁₀⋊₄C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10:4C2	320,1450
C₈⋊D₁₀⋊₅C₂ = D₂₀⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	40	8+	C8:D10:5C2	320,374
C₈⋊D₁₀⋊₆C₂ = D₂₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10:6C2	320,376
C₈⋊D₁₀⋊₇C₂ = D₂₀.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10:7C2	320,380
C₈⋊D₁₀⋊₈C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	40	4+	C8:D10:8C2	320,449
C₈⋊D₁₀⋊₉C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	4	C8:D10:9C2	320,454
C₈⋊D₁₀⋊₁₀C₂ = C₈.₂₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	4+	C8:D10:10C2	320,524
C₈⋊D₁₀⋊₁₁C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	4	C8:D10:11C2	320,1423
C₈⋊D₁₀⋊₁₂C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	4+	C8:D10:12C2	320,1424
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 = D₂₀.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	8+	C8:D10.1C2	320,381
C₈⋊D₁₀.₂C₂ = C₈.₂₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₀	80	4	C8:D10.2C2	320,525

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