Extensions 1→N→G→Q→1 with N=D₄⋊₆D₁₀ and Q=C₂

Direct product G=N×Q with N=D₄⋊₆D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₆D₁₀		80		C2xD4:6D10	320,1614

Semidirect products G=N:Q with N=D₄⋊₆D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₁₀⋊₁C₂ = C₂³⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	40	8+	D4:6D10:1C2	320,368
D₄⋊₆D₁₀⋊₂C₂ = D₂₀⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	40	8+	D4:6D10:2C2	320,374
D₄⋊₆D₁₀⋊₃C₂ = C₂⁴⋊₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	40	4	D4:6D10:3C2	320,659
D₄⋊₆D₁₀⋊₄C₂ = D₂₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	40	4	D4:6D10:4C2	320,704
D₄⋊₆D₁₀⋊₅C₂ = D₈⋊₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	4	D4:6D10:5C2	320,1429
D₄⋊₆D₁₀⋊₆C₂ = D₂₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	4	D4:6D10:6C2	320,1434
D₄⋊₆D₁₀⋊₇C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	8+	D4:6D10:7C2	320,1446
D₄⋊₆D₁₀⋊₈C₂ = D₈⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	8-	D4:6D10:8C2	320,1447
D₄⋊₆D₁₀⋊₉C₂ = D₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	40	8+	D4:6D10:9C2	320,1622
D₄⋊₆D₁₀⋊₁₀C₂ = D₂₀.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	8-	D4:6D10:10C2	320,1623
D₄⋊₆D₁₀⋊₁₁C₂ = C₁₀.C₂⁵	φ: trivial image	80	4	D4:6D10:11C2	320,1621

Non-split extensions G=N.Q with N=D₄⋊₆D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₁₀.₁C₂ = C₂³.₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	8-	D4:6D10.1C2	320,369
D₄⋊₆D₁₀.₂C₂ = D₂₀.₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	8-	D4:6D10.2C2	320,373
D₄⋊₆D₁₀.₃C₂ = C₂²⋊C₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	4	D4:6D10.3C2	320,680
D₄⋊₆D₁₀.₄C₂ = C₄²⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₀	80	4	D4:6D10.4C2	320,688

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