Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=C₈

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=C₈

		d	ρ	Label	ID
C₈×C₅⋊₂C₈		320		C8xC5:2C8	320,11

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁C₈ = C₂₀.₅₃D₈	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:1C8	320,37
C₅⋊₂C₈⋊₂C₈ = C₂₀.₃₉SD₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:2C8	320,38
C₅⋊₂C₈⋊₃C₈ = C₄².₂₇₉D₁₀	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:3C8	320,12
C₅⋊₂C₈⋊₄C₈ = C₂₀.₂₆M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:4C8	320,221
C₅⋊₂C₈⋊₅C₈ = Dic₅.₁₃D₈	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:5C8	320,222
C₅⋊₂C₈⋊₆C₈ = C₈×C₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:6C8	320,216
C₅⋊₂C₈⋊₇C₈ = C₄₀⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:7C8	320,217

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁C₈ = C₄₀.₉Q₈	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.1C8	320,69
C₅⋊₂C₈.₂C₈ = C₃₂⋊D₅	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	160	2	C5:2C8.2C8	320,5
C₅⋊₂C₈.₃C₈ = C₈₀⋊₁₇C₄	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.3C8	320,60
C₅⋊₂C₈.₄C₈ = C₄².₉F₅	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.4C8	320,199
C₅⋊₂C₈.₅C₈ = D₅⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	160	4	C5:2C8.5C8	320,179
C₅⋊₂C₈.₆C₈ = C₈₀.C₄	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	160	4	C5:2C8.6C8	320,180
C₅⋊₂C₈.₇C₈ = C₄×C₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.7C8	320,195
C₅⋊₂C₈.₈C₈ = C₄².₄F₅	φ: C₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.8C8	320,197
C₅⋊₂C₈.₉C₈ = D₅×C₃₂	φ: trivial image	160	2	C5:2C8.9C8	320,4
C₅⋊₂C₈.₁₀C₈ = C₁₆×Dic₅	φ: trivial image	320		C5:2C8.10C8	320,58

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