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

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

		d	ρ	Label	ID
C₄xD₅:C₈		160		C4xD5:C8	320,1013

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅:C₈:C₄ = C₄²:₃F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅:C₈	80	4	D5:C8:C4	320,201
D₅:C₈:₂C₄ = D₁₀.₁₈D₈	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	80		D5:C8:2C4	320,212
D₅:C₈:₃C₄ = D₁₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	160		D5:C8:3C4	320,1039
D₅:C₈:₄C₄ = M₄(2):₅F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	80	8	D5:C8:4C4	320,1066
D₅:C₈:₅C₄ = C₄².₅F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	160		D5:C8:5C4	320,1014
D₅:C₈:₆C₄ = C₂xC₈:F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	80		D5:C8:6C4	320,1055
D₅:C₈:₇C₄ = C₂xC₈xF₅	φ: trivial image	80		D5:C8:7C4	320,1054

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅:C₈.₁C₄ = C₁₆:F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅:C₈	80	4	D5:C8.1C4	320,183
D₅:C₈.₂C₄ = C₁₆:₄F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅:C₈	80	4	D5:C8.2C4	320,184
D₅:C₈.₃C₄ = C₂₀.₂₅C₄²	φ: C₄/C₁ → C₄ ⊆ Out D₅:C₈	80	4	D5:C8.3C4	320,235
D₅:C₈.₄C₄ = M₄(2).F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	80	8	D5:C8.4C4	320,239
D₅:C₈.₅C₄ = C₁₆:₇F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅:C₈	80	4	D5:C8.5C4	320,182
D₅:C₈.₆C₄ = C₁₆xF₅	φ: trivial image	80	4	D5:C8.6C4	320,181

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