Extensions 1→N→G→Q→1 with N=C₃² and Q=D₁₀

Direct product G=NxQ with N=C₃² and Q=D₁₀

		d	ρ	Label	ID
D₅xC₃xC₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₃² and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁D₁₀ = S₃xD₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₃²	30	4+	C3^2:1D10	180,29
C₃²:₂D₁₀ = D₁₅:S₃	φ: D₁₀/C₅ → C₂² ⊆ Aut C₃²	30	4	C3^2:2D10	180,30
C₃²:₃D₁₀ = C₃xS₃xD₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₃²	30	4	C3^2:3D10	180,26
C₃²:₄D₁₀ = D₅xC₃:S₃	φ: D₁₀/D₅ → C₂ ⊆ Aut C₃²	45		C3^2:4D10	180,27
C₃²:₅D₁₀ = C₆xD₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₃²	60	2	C3^2:5D10	180,34
C₃²:₆D₁₀ = C₂xC₃:D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:6D10	180,36

׿

x

:

Z

F

o

wr

Q

<