Extensions 1→N→G→Q→1 with N=C₅:C₈ and Q=D₄

Direct product G=NxQ with N=C₅:C₈ and Q=D₄

		d	ρ	Label	ID
D₄xC₅:C₈		160		D4xC5:C8	320,1110

Semidirect products G=N:Q with N=C₅:C₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:C₈:₁D₄ = Dic₅:M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₅:C₈	160		C5:C8:1D4	320,1033
C₅:C₈:₂D₄ = C₂₀:M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₅:C₈	160		C5:C8:2D4	320,1043
C₅:C₈:₃D₄ = C₂₀:₂M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₅:C₈	160		C5:C8:3D4	320,1112
C₅:C₈:₄D₄ = C₅:C₈:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	160		C5:C8:4D4	320,1031
C₅:C₈:₅D₄ = D₁₀:M₄(2)	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	160		C5:C8:5D4	320,1032
C₅:C₈:₆D₄ = D₁₀:₂M₄(2)	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	160		C5:C8:6D4	320,1042
C₅:C₈:₇D₄ = C₅:C₈:₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	160		C5:C8:7D4	320,1111
C₅:C₈:₈D₄ = C₅:C₈:₈D₄	φ: trivial image	160		C5:C8:8D4	320,1030
C₅:C₈:₉D₄ = D₂₀:₂C₈	φ: trivial image	160		C5:C8:9D4	320,1040

Non-split extensions G=N.Q with N=C₅:C₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:C₈.₁D₄ = D₈:F₅	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	80	8-	C5:C8.1D4	320,1071
C₅:C₈.₂D₄ = SD₁₆:₂F₅	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	80	8	C5:C8.2D4	320,1075
C₅:C₈.₃D₄ = Q₁₆:F₅	φ: D₄/C₂² → C₂ ⊆ Out C₅:C₈	80	8+	C5:C8.3D4	320,1079
C₅:C₈.₄D₄ = D₈:₅F₅	φ: trivial image	80	8-	C5:C8.4D4	320,1070
C₅:C₈.₅D₄ = SD₁₆:₃F₅	φ: trivial image	80	8	C5:C8.5D4	320,1074
C₅:C₈.₆D₄ = Q₁₆:₅F₅	φ: trivial image	80	8+	C5:C8.6D4	320,1078

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