Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₅

Direct product G=N×Q with N=C₁₀ and Q=D₅

		d	ρ	Label	ID
D₅×C₁₀		20	2	D5xC10	100,14

Semidirect products G=N:Q with N=C₁₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊D₅ = C₂×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₀	50		C10:D5	100,15

Non-split extensions G=N.Q with N=C₁₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₅ = Dic₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₀	100	2-	C10.1D5	100,1
C₁₀.₂D₅ = D₅₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₀	50	2+	C10.2D5	100,4
C₁₀.₃D₅ = C₅²⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₁₀	100		C10.3D5	100,7
C₁₀.₄D₅ = C₅×Dic₅	central extension (φ=1)	20	2	C10.4D5	100,6

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Extensions 1→N→G→Q→1 with N=C10 and Q=D5