Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xC₁₀

Direct product G=NxQ with N=C₃² and Q=C₂xC₁₀

		d	ρ	Label	ID
C₆xC₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₃² and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₂xC₁₀) = C₅xS₃²	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃²	30	4	C3^2:(C2xC10)	180,28
C₃²:₂(C₂xC₁₀) = S₃xC₃₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃²	60	2	C3^2:2(C2xC10)	180,33
C₃²:₃(C₂xC₁₀) = C₁₀xC₃:S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:3(C2xC10)	180,35

׿

x

:

Z

F

o

wr

Q

<