Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=Q₈⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Q₈⋊C₄		320		C10xQ8:C4	320,916

Semidirect products G=N:Q with N=Q₈⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄⋊₁C₁₀ = C₅×C₈⋊₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:1C10	320,966
Q₈⋊C₄⋊₂C₁₀ = C₅×C₈.₁₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:2C10	320,968
Q₈⋊C₄⋊₃C₁₀ = C₅×C₄².₇₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:3C10	320,989
Q₈⋊C₄⋊₄C₁₀ = C₅×D₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:4C10	320,950
Q₈⋊C₄⋊₅C₁₀ = C₅×C₂²⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:5C10	320,952
Q₈⋊C₄⋊₆C₁₀ = C₅×D₄.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:6C10	320,964
Q₈⋊C₄⋊₇C₁₀ = C₅×C₂³.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:7C10	320,985
Q₈⋊C₄⋊₈C₁₀ = C₅×C₂³.₂₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:8C10	320,986
Q₈⋊C₄⋊₉C₁₀ = C₅×Q₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:9C10	320,949
Q₈⋊C₄⋊₁₀C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:10C10	320,953
Q₈⋊C₄⋊₁₁C₁₀ = C₅×D₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:11C10	320,962
Q₈⋊C₄⋊₁₂C₁₀ = C₅×Q₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:12C10	320,965
Q₈⋊C₄⋊₁₃C₁₀ = C₅×C₂³.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:13C10	320,984
Q₈⋊C₄⋊₁₄C₁₀ = C₅×C₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:14C10	320,918
Q₈⋊C₄⋊₁₅C₁₀ = C₅×C₂³.₃₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:15C10	320,920
Q₈⋊C₄⋊₁₆C₁₀ = C₅×SD₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:16C10	320,941
Q₈⋊C₄⋊₁₇C₁₀ = C₅×C₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:17C10	320,969
Q₈⋊C₄⋊₁₈C₁₀ = C₅×C₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:18C10	320,971
Q₈⋊C₄⋊₁₉C₁₀ = C₅×C₄².₂₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:19C10	320,990
Q₈⋊C₄⋊₂₀C₁₀ = C₅×C₂³.₂₄D₄	φ: trivial image	160	Q8:C4:20C10	320,917
Q₈⋊C₄⋊₂₁C₁₀ = SD₁₆×C₂₀	φ: trivial image	160	Q8:C4:21C10	320,939

Non-split extensions G=N.Q with N=Q₈⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄.₁C₁₀ = C₅×C₄.SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.1C10	320,988
Q₈⋊C₄.₂C₁₀ = C₅×C₄⋊₂Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.2C10	320,963
Q₈⋊C₄.₃C₁₀ = C₅×C₄.Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.3C10	320,978
Q₈⋊C₄.₄C₁₀ = C₅×Q₈⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.4C10	320,976
Q₈⋊C₄.₅C₁₀ = C₅×Q₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.5C10	320,980
Q₈⋊C₄.₆C₁₀ = C₅×Q₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.6C10	320,942
Q₈⋊C₄.₇C₁₀ = C₅×C₄².₃₀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.7C10	320,992
Q₈⋊C₄.₈C₁₀ = Q₁₆×C₂₀	φ: trivial image	320	Q8:C4.8C10	320,940

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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C10

Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₁₀