Extensions 1→N→G→Q→1 with N=C₇ and Q=C₅×C₁₀

Direct product G=N×Q with N=C₇ and Q=C₅×C₁₀

		d	ρ	Label	ID
C₅×C₇₀		350		C5xC70	350,10

Semidirect products G=N:Q with N=C₇ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₅×C₁₀) = D₇×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₇	175		C7:(C5xC10)	350,5

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁