Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈oD₁₂

Direct product G=NxQ with N=C₅ and Q=Q₈oD₁₂

		d	ρ	Label	ID
C₅xQ₈oD₁₂		240	4	C5xQ8oD12	480,1162

Semidirect products G=N:Q with N=C₅ and Q=Q₈oD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(Q₈oD₁₂) = D₂₀.₃₈D₆	φ: Q₈oD₁₂/C₂xDic₆ → C₂ ⊆ Aut C₅	240	4	C5:1(Q8oD12)	480,1076
C₅:₂(Q₈oD₁₂) = D₂₀.₃₉D₆	φ: Q₈oD₁₂/C₄oD₁₂ → C₂ ⊆ Aut C₅	240	4-	C5:2(Q8oD12)	480,1077
C₅:₃(Q₈oD₁₂) = C₁₅:2_-¹⁺⁴	φ: Q₈oD₁₂/D₄:₂S₃ → C₂ ⊆ Aut C₅	240	8-	C5:3(Q8oD12)	480,1096
C₅:₄(Q₈oD₁₂) = D₂₀.₂₉D₆	φ: Q₈oD₁₂/S₃xQ₈ → C₂ ⊆ Aut C₅	240	8-	C5:4(Q8oD12)	480,1104
C₅:₅(Q₈oD₁₂) = D₄.₁₀D₃₀	φ: Q₈oD₁₂/C₃xC₄oD₄ → C₂ ⊆ Aut C₅	240	4-	C5:5(Q8oD12)	480,1177

׿

x

:

Z

F

o

wr

Q

<