Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=Q₈

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅⋊₂C₈		320		Q8xC5:2C8	320,650

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁Q₈ = C₄₀⋊₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	320		C5:2C8:1Q8	320,483
C₅⋊₂C₈⋊₂Q₈ = C₄₀⋊₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	320		C5:2C8:2Q8	320,503
C₅⋊₂C₈⋊₃Q₈ = C₄².₆₈D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	320		C5:2C8:3Q8	320,692
C₅⋊₂C₈⋊₄Q₈ = C₄².₇₆D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	320		C5:2C8:4Q8	320,707
C₅⋊₂C₈⋊₅Q₈ = C₄₀⋊₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:5Q8	320,482
C₅⋊₂C₈⋊₆Q₈ = C₄₀⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:6Q8	320,501
C₅⋊₂C₈⋊₇Q₈ = C₂₀.₁₇D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:7Q8	320,705
C₅⋊₂C₈⋊₈Q₈ = C₂₀.SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:8Q8	320,706
C₅⋊₂C₈⋊₉Q₈ = Dic₅.₅M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:9Q8	320,455
C₅⋊₂C₈⋊₁₀Q₈ = C₄².₁₉₈D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:10Q8	320,458
C₅⋊₂C₈⋊₁₁Q₈ = C₄².₂₁₀D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8:11Q8	320,651
C₅⋊₂C₈⋊₁₂Q₈ = Dic₁₀⋊₅C₈	φ: trivial image	320		C5:2C8:12Q8	320,457

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁Q₈ = C₈₀⋊₄C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.1Q8	320,185
C₅⋊₂C₈.₂Q₈ = C₈₀⋊₅C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.2Q8	320,186
C₅⋊₂C₈.₃Q₈ = C₈.₈Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.3Q8	320,485
C₅⋊₂C₈.₄Q₈ = C₈.₆Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.4Q8	320,505
C₅⋊₂C₈.₅Q₈ = C₄².₂₁₅D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.5Q8	320,691
C₅⋊₂C₈.₆Q₈ = C₈₀⋊₂C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.6Q8	320,187
C₅⋊₂C₈.₇Q₈ = C₈₀⋊₃C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.7Q8	320,188
C₅⋊₂C₈.₈Q₈ = C₁₆.F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	160	4	C5:2C8.8Q8	320,189
C₅⋊₂C₈.₉Q₈ = C₈₀.₂C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	160	4	C5:2C8.9Q8	320,190
C₅⋊₂C₈.₁₀Q₈ = C₂₀⋊C₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.10Q8	320,196
C₅⋊₂C₈.₁₁Q₈ = C₄².₉F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.11Q8	320,199
C₅⋊₂C₈.₁₂Q₈ = C₁₀.M₅(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	320		C5:2C8.12Q8	320,226
C₅⋊₂C₈.₁₃Q₈ = C₄₀.₁C₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.13Q8	320,227

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