Extensions 1→N→G→Q→1 with N=C₅⋊D₅ and Q=D₅

Direct product G=N×Q with N=C₅⋊D₅ and Q=D₅

		d	ρ	Label	ID
D₅×C₅⋊D₅		50		D5xC5:D5	500,51

Semidirect products G=N:Q with N=C₅⋊D₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅⋊D₅ = C₅²⋊D₁₀	φ: D₅/C₁ → D₅ ⊆ Out C₅⋊D₅	25	10+	C5:D5:D5	500,27
C₅⋊D₅⋊₂D₅ = C₅²⋊₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅⋊D₅	20	4	C5:D5:2D5	500,52

Non-split extensions G=N.Q with N=C₅⋊D₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅.D₅ = He₅⋊C₄	φ: D₅/C₁ → D₅ ⊆ Out C₅⋊D₅	25	20+	C5:D5.D5	500,21
C₅⋊D₅.₂D₅ = C₅³⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Out C₅⋊D₅	20	4	C5:D5.2D5	500,46
C₅⋊D₅.₃D₅ = C₅³⋊₇C₄	φ: D₅/C₅ → C₂ ⊆ Out C₅⋊D₅	100		C5:D5.3D5	500,47

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Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=D5