Extensions 1→N→G→Q→1 with N=D₂₅ and Q=C₁₀

Direct product G=N×Q with N=D₂₅ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₂₅		100	2	C10xD25	500,28

Semidirect products G=N:Q with N=D₂₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₅⋊C₁₀ = C₂×C₂₅⋊C₁₀	φ: C₁₀/C₂ → C₅ ⊆ Out D₂₅	50	10+	D25:C10	500,31

Non-split extensions G=N.Q with N=D₂₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₅.C₁₀ = C₂₅⋊C₂₀	φ: C₁₀/C₁ → C₁₀ ⊆ Out D₂₅	25	20+	D25.C10	500,18
D₂₅.₂C₁₀ = C₅×C₂₅⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₅	100	4	D25.2C10	500,16

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D25 and Q=C10