Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=Dic₅

Direct product G=N×Q with N=C₄○D₄ and Q=Dic₅

		d	ρ	Label	ID
C₄○D₄×Dic₅		160		C4oD4xDic5	320,1498

Semidirect products G=N:Q with N=C₄○D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁Dic₅ = C₄○D₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:1Dic5	320,859
C₄○D₄⋊₂Dic₅ = C₂₀.(C₂×D₄)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:2Dic5	320,860
C₄○D₄⋊₃Dic₅ = C₂×D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	80		C4oD4:3Dic5	320,862
C₄○D₄⋊₄Dic₅ = (D₄×C₁₀)⋊₂₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:4Dic5	320,863
C₄○D₄⋊₅Dic₅ = C₁₀.₁₀₆2_-¹⁺⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:5Dic5	320,1499

Non-split extensions G=N.Q with N=C₄○D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁Dic₅ = C₄₀.₉₂D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	160	4	C4oD4.1Dic5	320,119
C₄○D₄.₂Dic₅ = C₂₀.₇₆C₂⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.2Dic5	320,1491
C₄○D₄.₃Dic₅ = C₄₀.₇₀C₂³	φ: trivial image	160	4	C4oD4.3Dic5	320,767
C₄○D₄.₄Dic₅ = C₂×D₄.Dic₅	φ: trivial image	160		C4oD4.4Dic5	320,1490

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