Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xC₄oD₁₂

Direct product G=NxQ with N=C₅ and Q=C₂xC₄oD₁₂

		d	ρ	Label	ID
C₁₀xC₄oD₁₂		240		C10xC4oD12	480,1153

Semidirect products G=N:Q with N=C₅ and Q=C₂xC₄oD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂xC₄oD₁₂) = C₂xC₁₂.₂₈D₁₀	φ: C₂xC₄oD₁₂/C₂xDic₆ → C₂ ⊆ Aut C₅	240		C5:1(C2xC4oD12)	480,1085
C₅:₂(C₂xC₄oD₁₂) = C₂xD₆.D₁₀	φ: C₂xC₄oD₁₂/S₃xC₂xC₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xC4oD12)	480,1083
C₅:₃(C₂xC₄oD₁₂) = C₂xD₁₂:₅D₅	φ: C₂xC₄oD₁₂/C₂xD₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xC4oD12)	480,1084
C₅:₄(C₂xC₄oD₁₂) = D₅xC₄oD₁₂	φ: C₂xC₄oD₁₂/C₄oD₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(C2xC4oD12)	480,1090
C₅:₅(C₂xC₄oD₁₂) = C₂xDic₃.D₁₀	φ: C₂xC₄oD₁₂/C₂xC₃:D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2xC4oD12)	480,1116
C₅:₆(C₂xC₄oD₁₂) = C₂xD₆₀:₁₁C₂	φ: C₂xC₄oD₁₂/C₂²xC₁₂ → C₂ ⊆ Aut C₅	240		C5:6(C2xC4oD12)	480,1168

׿

x

:

Z

F

o

wr

Q

<