Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅xC₁₆

Direct product G=NxQ with N=C₃ and Q=D₅xC₁₆

		d	ρ	Label	ID
D₅xC₄₈		240	2	D5xC48	480,75

Semidirect products G=N:Q with N=C₃ and Q=D₅xC₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₅xC₁₆) = D₁₅:₂C₁₆	φ: D₅xC₁₆/C₅:₂C₁₆ → C₂ ⊆ Aut C₃	240	4	C3:1(D5xC16)	480,9
C₃:₂(D₅xC₁₆) = C₁₆xD₁₅	φ: D₅xC₁₆/C₈₀ → C₂ ⊆ Aut C₃	240	2	C3:2(D5xC16)	480,157
C₃:₃(D₅xC₁₆) = D₅xC₃:C₁₆	φ: D₅xC₁₆/C₈xD₅ → C₂ ⊆ Aut C₃	240	4	C3:3(D5xC16)	480,7

׿

x

:

Z

F

o

wr

Q

<