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
C₈×C₅⋊D₅		200		C8xC5:D5	400,92

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

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₅⋊D₅) = C₅²⋊₅D₈	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₈	200	C8:1(C5:D5)	400,95
C₈⋊₂(C₅⋊D₅) = C₄₀⋊₂D₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₈	200	C8:2(C5:D5)	400,94
C₈⋊₃(C₅⋊D₅) = C₄₀⋊D₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₈	200	C8:3(C5:D5)	400,93

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) = C₄₀.D₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₈	400		C8.(C5:D5)	400,96
C₈.₂(C₅⋊D₅) = C₅²⋊₇C₁₆	central extension (φ=1)	400		C8.2(C5:D5)	400,50

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