Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆.D₄

Direct product G=NxQ with N=C₅ and Q=C₆.D₄

		d	ρ	Label	ID
C₅xC₆.D₄		120		C5xC6.D4	240,64

Semidirect products G=N:Q with N=C₅ and Q=C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₆.D₄) = D₁₀.D₆	φ: C₆.D₄/C₂xC₆ → C₄ ⊆ Aut C₅	60	4	C5:(C6.D4)	240,124
C₅:₂(C₆.D₄) = D₁₀:Dic₃	φ: C₆.D₄/C₂xDic₃ → C₂ ⊆ Aut C₅	120		C5:2(C6.D4)	240,26
C₅:₃(C₆.D₄) = C₃₀.₃₈D₄	φ: C₆.D₄/C₂²xC₆ → C₂ ⊆ Aut C₅	120		C5:3(C6.D4)	240,80

׿

x

:

Z

F

o

wr

Q

<