Extensions 1→N→G→Q→1 with N=C₅² and Q=Q₈

Direct product G=N×Q with N=C₅² and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅²		200		Q8xC5^2	200,39

Semidirect products G=N:Q with N=C₅² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊Q₈ = C₅²⋊Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₅²	10	8+	C5^2:Q8	200,44
C₅²⋊₂Q₈ = C₅²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₅²	40	4-	C5^2:2Q8	200,26
C₅²⋊₃Q₈ = C₅×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₅²	40	2	C5^2:3Q8	200,27
C₅²⋊₄Q₈ = C₅²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅²	200		C5^2:4Q8	200,32

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