Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₂₃

Direct product G=N×Q with N=C₁₀ and Q=D₂₃

		d	ρ	Label	ID
C₁₀×D₂₃		230	2	C10xD23	460,8

Semidirect products G=N:Q with N=C₁₀ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊D₂₃ = D₂₃₀	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₁₀	230	2+	C10:D23	460,10

Non-split extensions G=N.Q with N=C₁₀ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.D₂₃ = Dic₁₁₅	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₁₀	460	2-	C10.D23	460,3
C₁₀.₂D₂₃ = C₅×Dic₂₃	central extension (φ=1)	460	2	C10.2D23	460,2

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Extensions 1→N→G→Q→1 with N=C10 and Q=D23