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
Q₈×C₅⋊D₅		200		Q8xC5:D5	400,197

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₅⋊D₅) = C₅²⋊₁₀SD₁₆	φ: C₅⋊D₅/C₅² → C₂ ⊆ Out Q₈	200		Q8:(C5:D5)	400,105
Q₈⋊₂(C₅⋊D₅) = C₂₀.₂₆D₁₀	φ: trivial image	200		Q8:2(C5:D5)	400,198

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) = C₅²⋊₇Q₁₆	φ: C₅⋊D₅/C₅² → C₂ ⊆ Out Q₈	400		Q8.(C5:D5)	400,106

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