Extensions 1→N→G→Q→1 with N=C₂₅₀ and Q=C₂

Direct product G=N×Q with N=C₂₅₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₅₀		500		C2xC250	500,5

Semidirect products G=N:Q with N=C₂₅₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅₀⋊C₂ = D₂₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₅₀	250	2+	C250:C2	500,4

Non-split extensions G=N.Q with N=C₂₅₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅₀.C₂ = Dic₁₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₅₀	500	2-	C250.C2	500,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C250 and Q=C2