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

Direct product G=N×Q with N=D₅⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₄×D₅⋊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 = C₂×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅⋊C₈	80		D5:C8:6C4	320,1055
D₅⋊C₈⋊₇C₄ = C₂×C₈×F₅	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 = C₁₆×F₅	φ: trivial image	80	4	D5:C8.6C4	320,181

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