Extensions 1→N→G→Q→1 with N=C₈:F₅ and Q=C₂

Direct product G=NxQ with N=C₈:F₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₈:F₅		80		C2xC8:F5	320,1055

Semidirect products G=N:Q with N=C₈:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:F₅:₁C₂ = D₄₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	40	8+	C8:F5:1C2	320,1069
C₈:F₅:₂C₂ = D₈:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	8-	C8:F5:2C2	320,1071
C₈:F₅:₃C₂ = Q₁₆:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	8+	C8:F5:3C2	320,1079
C₈:F₅:₄C₂ = SD₁₆:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	40	8	C8:F5:4C2	320,1073
C₈:F₅:₅C₂ = SD₁₆:₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	8	C8:F5:5C2	320,1075
C₈:F₅:₆C₂ = M₄(2)xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	40	8	C8:F5:6C2	320,1064
C₈:F₅:₇C₂ = M₄(2):₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	8	C8:F5:7C2	320,1066
C₈:F₅:₈C₂ = C₂₀.₁₂C₄²	φ: trivial image	80	4	C8:F5:8C2	320,1056

Non-split extensions G=N.Q with N=C₈:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:F₅.₁C₂ = Dic₂₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	8-	C8:F5.1C2	320,1077
C₈:F₅.₂C₂ = C₁₆:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	4	C8:F5.2C2	320,183
C₈:F₅.₃C₂ = C₁₆:₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈:F₅	80	4	C8:F5.3C2	320,184

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