Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₅

Direct product G=N×Q with N=C₈ and Q=Dic₅

		d	ρ	Label	ID
C₈×Dic₅		160		C8xDic5	160,20

Semidirect products G=N:Q with N=C₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₅ = C₄₀⋊₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₈	160		C8:1Dic5	160,25
C₈⋊₂Dic₅ = C₄₀⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₈	160		C8:2Dic5	160,24
C₈⋊₃Dic₅ = C₄₀⋊₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₈	160		C8:3Dic5	160,22

Non-split extensions G=N.Q with N=C₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₅ = C₄₀.₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.1Dic5	160,26
C₈.₂Dic₅ = C₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.2Dic5	160,19
C₈.₃Dic₅ = C₅⋊₂C₃₂	central extension (φ=1)	160	2	C8.3Dic5	160,1
C₈.₄Dic₅ = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		C8.4Dic5	160,18

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