Extensions 1→N→G→Q→1 with N=C₈:C₄ and Q=D₅

Direct product G=NxQ with N=C₈:C₄ and Q=D₅

		d	ρ	Label	ID
D₅xC₈:C₄		160		D5xC8:C4	320,331

Semidirect products G=N:Q with N=C₈:C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄:₁D₅ = C₄².₁₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:1D5	320,337
C₈:C₄:₂D₅ = D₄₀:₉C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:2D5	320,338
C₈:C₄:₃D₅ = C₈:D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:3D5	320,339
C₈:C₄:₄D₅ = C₈.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:4D5	320,342
C₈:C₄:₅D₅ = D₄₀:₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	80	4	C8:C4:5D5	320,344
C₈:C₄:₆D₅ = C₄².D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:6D5	320,22
C₈:C₄:₇D₅ = C₄².₁₈₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:7D5	320,332
C₈:C₄:₈D₅ = C₈:₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:8D5	320,333
C₈:C₄:₉D₅ = C₄².₁₈₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:9D5	320,336
C₈:C₄:₁₀D₅ = C₄².₁₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:10D5	320,340
C₈:C₄:₁₁D₅ = C₄².₂₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	160		C8:C4:11D5	320,341
C₈:C₄:₁₂D₅ = D₁₀.₆C₄²	φ: trivial image	160		C8:C4:12D5	320,334
C₈:C₄:₁₃D₅ = D₁₀.₇C₄²	φ: trivial image	160		C8:C4:13D5	320,335

Non-split extensions G=N.Q with N=C₈:C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄.₁D₅ = C₈:Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	320		C8:C4.1D5	320,329
C₈:C₄.₂D₅ = Dic₂₀:₉C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	320		C8:C4.2D5	320,343
C₈:C₄.₃D₅ = C₄².₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	320		C8:C4.3D5	320,23
C₈:C₄.₄D₅ = C₂₀.₄₅C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	80	4	C8:C4.4D5	320,24
C₈:C₄.₅D₅ = C₄₀:Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	320		C8:C4.5D5	320,328
C₈:C₄.₆D₅ = C₄².₁₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈:C₄	320		C8:C4.6D5	320,330

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