Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xC₄xDic₃

Direct product G=NxQ with N=C₅ and Q=C₂xC₄xDic₃

		d	ρ	Label	ID
Dic₃xC₂xC₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=C₅ and Q=C₂xC₄xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂xC₄xDic₃) = C₂xDic₃xF₅	φ: C₂xC₄xDic₃/C₂xDic₃ → C₄ ⊆ Aut C₅	120		C5:1(C2xC4xDic3)	480,998
C₅:₂(C₂xC₄xDic₃) = C₂xC₄xC₃:F₅	φ: C₂xC₄xDic₃/C₂xC₁₂ → C₄ ⊆ Aut C₅	120		C5:2(C2xC4xDic3)	480,1063
C₅:₃(C₂xC₄xDic₃) = C₄xD₅xDic₃	φ: C₂xC₄xDic₃/C₄xDic₃ → C₂ ⊆ Aut C₅	240		C5:3(C2xC4xDic3)	480,467
C₅:₄(C₂xC₄xDic₃) = C₂xDic₃xDic₅	φ: C₂xC₄xDic₃/C₂²xDic₃ → C₂ ⊆ Aut C₅	480		C5:4(C2xC4xDic3)	480,603
C₅:₅(C₂xC₄xDic₃) = C₂xC₄xDic₁₅	φ: C₂xC₄xDic₃/C₂²xC₁₂ → C₂ ⊆ Aut C₅	480		C5:5(C2xC4xDic3)	480,887

׿

x

:

Z

F

o

wr

Q

<