Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=Dic₅

Direct product G=N×Q with N=C₂⁴ and Q=Dic₅

		d	ρ	Label	ID
C₂⁴×Dic₅		320		C2^4xDic5	320,1626

Semidirect products G=N:Q with N=C₂⁴ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊Dic₅ = C₂⁵.D₅	φ: Dic₅/C₂ → D₅ ⊆ Aut C₂⁴	20	5	C2^4:Dic5	320,1583
C₂⁴⋊₂Dic₅ = C₂⁴⋊₂Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂⁴	40	4	C2^4:2Dic5	320,94
C₂⁴⋊₃Dic₅ = C₂×C₂³⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4:3Dic5	320,846
C₂⁴⋊₄Dic₅ = C₂⁵.₂D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4:4Dic5	320,874
C₂⁴⋊₅Dic₅ = C₂²×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4:5Dic5	320,1511

Non-split extensions G=N.Q with N=C₂⁴ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁Dic₅ = C₂⁴.Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.1Dic5	320,83
C₂⁴.₂Dic₅ = C₂×C₂₀.D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.2Dic5	320,843
C₂⁴.₃Dic₅ = C₂×C₂₀.₅₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.3Dic5	320,833
C₂⁴.₄Dic₅ = C₂⁴.₄Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4.4Dic5	320,834
C₂⁴.₅Dic₅ = C₂²×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.5Dic5	320,1453
C₂⁴.₆Dic₅ = C₂³×C₅⋊₂C₈	central extension (φ=1)	320		C2^4.6Dic5	320,1452

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