Extensions 1→N→G→Q→1 with N=C₅xC₄.D₄ and Q=C₂

Direct product G=NxQ with N=C₅xC₄.D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₄.D₄		80		C10xC4.D4	320,912

Semidirect products G=N:Q with N=C₅xC₄.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄.D₄):₁C₂ = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	8-	(C5xC4.D4):1C2	320,375
(C₅xC₄.D₄):₂C₂ = D₂₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	8+	(C5xC4.D4):2C2	320,376
(C₅xC₄.D₄):₃C₂ = D₂₀.₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	8-	(C5xC4.D4):3C2	320,373
(C₅xC₄.D₄):₄C₂ = D₂₀:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	40	8+	(C5xC4.D4):4C2	320,374
(C₅xC₄.D₄):₅C₂ = D₅xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	40	8+	(C5xC4.D4):5C2	320,371
(C₅xC₄.D₄):₆C₂ = M₄(2).₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	8-	(C5xC4.D4):6C2	320,372
(C₅xC₄.D₄):₇C₂ = C₅xD₄:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	40	4	(C5xC4.D4):7C2	320,954
(C₅xC₄.D₄):₈C₂ = C₅xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	4	(C5xC4.D4):8C2	320,956
(C₅xC₄.D₄):₉C₂ = C₅xD₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	4	(C5xC4.D4):9C2	320,972
(C₅xC₄.D₄):₁₀C₂ = C₅xD₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	4	(C5xC4.D4):10C2	320,973
(C₅xC₄.D₄):₁₁C₂ = C₂³.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	40	8+	(C5xC4.D4):11C2	320,33
(C₅xC₄.D₄):₁₂C₂ = C₅xC₂wrC₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	40	4	(C5xC4.D4):12C2	320,156
(C₅xC₄.D₄):₁₃C₂ = C₅xM₄(2).₈C₂²	φ: trivial image	80	4	(C5xC4.D4):13C2	320,914

Non-split extensions G=N.Q with N=C₅xC₄.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄.D₄).₁C₂ = C₂³.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	8-	(C5xC4.D4).1C2	320,34
(C₅xC₄.D₄).₂C₂ = C₅xC₂³.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.D₄	80	4	(C5xC4.D4).2C2	320,157

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