Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅×D₅

Direct product G=N×Q with N=Q₈ and Q=C₅×D₅

		d	ρ	Label	ID
C₅×Q₈×D₅		80	4	C5xQ8xD5	400,187

Semidirect products G=N:Q with N=Q₈ and Q=C₅×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₅×D₅) = C₅×Q₈⋊D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Out Q₈	80	4	Q8:(C5xD5)	400,89
Q₈⋊₂(C₅×D₅) = C₅×Q₈⋊₂D₅	φ: trivial image	80	4	Q8:2(C5xD5)	400,188

Non-split extensions G=N.Q with N=Q₈ and Q=C₅×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₅×D₅) = C₅×C₅⋊Q₁₆	φ: C₅×D₅/C₅² → C₂ ⊆ Out Q₈	80	4	Q8.(C5xD5)	400,90

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×D5