Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=D₅

Direct product G=N×Q with N=C₂⁵ and Q=D₅

		d	ρ	Label	ID
D₅×C₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=C₂⁵ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵⋊D₅ = C₂×C₂⁴⋊D₅	φ: D₅/C₁ → D₅ ⊆ Aut C₂⁵	10	5+	C2^5:D5	320,1636
C₂⁵⋊₂D₅ = C₂×C₂⁴⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁵	80		C2^5:2D5	320,1512
C₂⁵⋊₃D₅ = C₂³×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁵	160		C2^5:3D5	320,1627

Non-split extensions G=N.Q with N=C₂⁵ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵.D₅ = C₂⁵.D₅	φ: D₅/C₁ → D₅ ⊆ Aut C₂⁵	20	5	C2^5.D5	320,1583
C₂⁵.₂D₅ = C₂⁵.₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁵	80		C2^5.2D5	320,874
C₂⁵.₃D₅ = C₂²×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁵	160		C2^5.3D5	320,1511
C₂⁵.₄D₅ = C₂⁴×Dic₅	central extension (φ=1)	320		C2^5.4D5	320,1626

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