Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×C₁₀

Direct product G=N×Q with N=C₃ and Q=D₅×C₁₀

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₃ and Q=D₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×C₁₀) = C₅×S₃×D₅	φ: D₅×C₁₀/C₅×D₅ → C₂ ⊆ Aut C₃	30	4	C3:1(D5xC10)	300,37
C₃⋊₂(D₅×C₁₀) = C₁₀×D₁₅	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₃	60	2	C3:2(D5xC10)	300,47

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁