Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅×D₅

Direct product G=N×Q with N=C₈ and Q=C₅×D₅

		d	ρ	Label	ID
D₅×C₄₀		80	2	D5xC40	400,76

Semidirect products G=N:Q with N=C₈ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₅×D₅) = C₅×D₄₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₈	80	2	C8:1(C5xD5)	400,79
C₈⋊₂(C₅×D₅) = C₅×C₄₀⋊C₂	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₈	80	2	C8:2(C5xD5)	400,78
C₈⋊₃(C₅×D₅) = C₅×C₈⋊D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₈	80	2	C8:3(C5xD5)	400,77

Non-split extensions G=N.Q with N=C₈ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₅×D₅) = C₅×Dic₂₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₈	80	2	C8.(C5xD5)	400,80
C₈.₂(C₅×D₅) = C₅×C₅⋊₂C₁₆	central extension (φ=1)	80	2	C8.2(C5xD5)	400,49

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Extensions 1→N→G→Q→1 with N=C8 and Q=C5×D5