Extensions 1→N→G→Q→1 with N=Q₈:D₅ and Q=C₂

Direct product G=NxQ with N=Q₈:D₅ and Q=C₂

		d	ρ	Label	ID
C₂xQ₈:D₅		80		C2xQ8:D5	160,162

Semidirect products G=N:Q with N=Q₈:D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:D₅:₁C₂ = D₅xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	40	4	Q8:D5:1C2	160,134
Q₈:D₅:₂C₂ = D₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	40	4+	Q8:D5:2C2	160,135
Q₈:D₅:₃C₂ = Q₁₆:D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	80	4	Q8:D5:3C2	160,139
Q₈:D₅:₄C₂ = Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	80	4+	Q8:D5:4C2	160,140
Q₈:D₅:₅C₂ = C₂₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	80	4	Q8:D5:5C2	160,163
Q₈:D₅:₆C₂ = D₄:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₅	40	4+	Q8:D5:6C2	160,170
Q₈:D₅:₇C₂ = D₄.₈D₁₀	φ: trivial image	80	4	Q8:D5:7C2	160,171

׿

x

:

Z

F

o

wr

Q

<