Extensions 1→N→G→Q→1 with N=C₅:₂C₈ and Q=D₅

Direct product G=NxQ with N=C₅:₂C₈ and Q=D₅

		d	ρ	Label	ID
D₅xC₅:₂C₈		80	4	D5xC5:2C8	400,60

Semidirect products G=N:Q with N=C₅:₂C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:₂C₈:₁D₅ = C₅:D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	40	4+	C5:2C8:1D5	400,65
C₅:₂C₈:₂D₅ = C₅²:₃SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	80	4-	C5:2C8:2D5	400,67
C₅:₂C₈:₃D₅ = C₅²:₄SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	40	4+	C5:2C8:3D5	400,68
C₅:₂C₈:₄D₅ = C₂₀.₃₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8:4D5	400,62
C₅:₂C₈:₅D₅ = C₂₀.₃₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	40	4	C5:2C8:5D5	400,63
C₅:₂C₈:₆D₅ = C₂₀.₂₉D₁₀	φ: trivial image	40	4	C5:2C8:6D5	400,61

Non-split extensions G=N.Q with N=C₅:₂C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:₂C₈.₁D₅ = C₅²:₃Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	80	4-	C5:2C8.1D5	400,70
C₅:₂C₈.₂D₅ = C₅²:₃C₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.2D5	400,57

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