Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₁₀

Direct product G=N×Q with N=C₈ and Q=Dic₁₀

		d	ρ	Label	ID
C₈×Dic₁₀		320		C8xDic10	320,305

Semidirect products G=N:Q with N=C₈ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₁₀ = C₈⋊Dic₁₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	320		C8:1Dic10	320,329
C₈⋊₂Dic₁₀ = C₄₀⋊₃Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	320		C8:2Dic10	320,483
C₈⋊₃Dic₁₀ = C₄₀⋊₄Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	320		C8:3Dic10	320,503
C₈⋊₄Dic₁₀ = C₄₀⋊₂Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8:4Dic10	320,501
C₈⋊₅Dic₁₀ = C₄₀⋊₅Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8:5Dic10	320,482
C₈⋊₆Dic₁₀ = C₄₀⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8:6Dic10	320,328
C₈⋊₇Dic₁₀ = C₄₀⋊₈Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8:7Dic10	320,309
C₈⋊₈Dic₁₀ = C₄₀⋊₉Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8:8Dic10	320,307
C₈⋊₉Dic₁₀ = C₄₀⋊₁₁Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8:9Dic10	320,306

Non-split extensions G=N.Q with N=C₈ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₁₀ = C₈.Dic₁₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.1Dic10	320,45
C₈.₂Dic₁₀ = C₄₀.₆Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.2Dic10	320,52
C₈.₃Dic₁₀ = C₄₀.Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.3Dic10	320,71
C₈.₄Dic₁₀ = C₄₀.₂Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8.4Dic10	320,47
C₈.₅Dic₁₀ = C₁₀.SD₃₂	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8.5Dic10	320,48
C₈.₆Dic₁₀ = C₈.₆Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8.6Dic10	320,505
C₈.₇Dic₁₀ = C₄₀.₇Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	160	4	C8.7Dic10	320,51
C₈.₈Dic₁₀ = C₈.₈Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	320		C8.8Dic10	320,485
C₈.₉Dic₁₀ = C₄₀.₉Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₈	80	4	C8.9Dic10	320,69
C₈.₁₀Dic₁₀ = C₈₀⋊₁₃C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.10Dic10	320,62
C₈.₁₁Dic₁₀ = C₈₀⋊₁₄C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.11Dic10	320,63
C₈.₁₂Dic₁₀ = C₄₀.₁₃Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.12Dic10	320,310
C₈.₁₃Dic₁₀ = C₈₀.₆C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.13Dic10	320,64
C₈.₁₄Dic₁₀ = C₄₀.₇C₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.14Dic10	320,21
C₈.₁₅Dic₁₀ = C₂₀⋊₃C₁₆	central extension (φ=1)	320		C8.15Dic10	320,20
C₈.₁₆Dic₁₀ = C₄₀.₈₈D₄	central extension (φ=1)	320		C8.16Dic10	320,59

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