Extensions 1→N→G→Q→1 with N=C₈ and Q=D₅

Direct product G=N×Q with N=C₈ and Q=D₅

		d	ρ	Label	ID
C₈×D₅		40	2	C8xD5	80,4

Semidirect products G=N:Q with N=C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₅ = D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₈	40	2+	C8:1D5	80,7
C₈⋊₂D₅ = C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₈	40	2	C8:2D5	80,6
C₈⋊₃D₅ = C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₈	40	2	C8:3D5	80,5

Non-split extensions G=N.Q with N=C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₅ = Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₈	80	2-	C8.D5	80,8
C₈.₂D₅ = C₅⋊₂C₁₆	central extension (φ=1)	80	2	C8.2D5	80,1

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Extensions 1→N→G→Q→1 with N=C8 and Q=D5