Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₅

Direct product G=N×Q with N=C₂⁴ and Q=D₅

		d	ρ	Label	ID
D₅×C₂⁴		80		D5xC2^4	160,237

Semidirect products G=N:Q with N=C₂⁴ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊D₅ = C₂⁴⋊D₅	φ: D₅/C₁ → D₅ ⊆ Aut C₂⁴	10	5+	C2^4:D5	160,234
C₂⁴⋊₂D₅ = C₂⁴⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁴	40		C2^4:2D5	160,174
C₂⁴⋊₃D₅ = C₂²×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁴	80		C2^4:3D5	160,227

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.D₅ = C₂×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂⁴	80		C2^4.D5	160,173
C₂⁴.₂D₅ = C₂³×Dic₅	central extension (φ=1)	160		C2^4.2D5	160,226

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Extensions 1→N→G→Q→1 with N=C24 and Q=D5