Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄:Dic₃

Direct product G=NxQ with N=C₅ and Q=C₄:Dic₃

		d	ρ	Label	ID
C₅xC₄:Dic₃		240		C5xC4:Dic3	240,58

Semidirect products G=N:Q with N=C₅ and Q=C₄:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄:Dic₃) = C₆₀:C₄	φ: C₄:Dic₃/C₁₂ → C₄ ⊆ Aut C₅	60	4	C5:(C4:Dic3)	240,121
C₅:₂(C₄:Dic₃) = C₃₀.Q₈	φ: C₄:Dic₃/C₂xDic₃ → C₂ ⊆ Aut C₅	240		C5:2(C4:Dic3)	240,29
C₅:₃(C₄:Dic₃) = C₆₀:₅C₄	φ: C₄:Dic₃/C₂xC₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C4:Dic3)	240,74

׿

x

:

Z

F

o

wr

Q

<