Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅₀

Direct product G=N×Q with N=C₃ and Q=D₅₀

		d	ρ	Label	ID
C₆×D₂₅		150	2	C6xD25	300,9

Semidirect products G=N:Q with N=C₃ and Q=D₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₅₀ = S₃×D₂₅	φ: D₅₀/D₂₅ → C₂ ⊆ Aut C₃	75	4+	C3:1D50	300,7
C₃⋊₂D₅₀ = D₁₅₀	φ: D₅₀/C₅₀ → C₂ ⊆ Aut C₃	150	2+	C3:2D50	300,11

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁