Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃₀

Direct product G=NxQ with N=C₇ and Q=C₃₀

		d	ρ	Label	ID
C₂₁₀		210	1	C210	210,12

Semidirect products G=N:Q with N=C₇ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:C₃₀ = C₅xF₇	φ: C₃₀/C₅ → C₆ ⊆ Aut C₇	35	6	C7:C30	210,1
C₇:₂C₃₀ = C₁₀xC₇:C₃	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₇	70	3	C7:2C30	210,4
C₇:₃C₃₀ = D₇xC₁₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₇	105	2	C7:3C30	210,5

׿

x

:

Z

F

o

wr

Q

<