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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊D₂₅ = C₂×C₂₅⋊D₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₁₀	250		C10:D25	500,32

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₂₅ = Dic₁₂₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₁₀	500	2-	C10.1D25	500,1
C₁₀.₂D₂₅ = D₂₅₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₁₀	250	2+	C10.2D25	500,4
C₁₀.₃D₂₅ = C₅₀.D₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₁₀	500		C10.3D25	500,10
C₁₀.₄D₂₅ = C₅×Dic₂₅	central extension (φ=1)	100	2	C10.4D25	500,6

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