Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈.D₆

Direct product G=N×Q with N=C₅ and Q=Q₈.D₆

		d	ρ	Label	ID
C₅×Q₈.D₆		80	4	C5xQ8.D6	480,1018

Semidirect products G=N:Q with N=C₅ and Q=Q₈.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈.D₆) = D₁₀.₂S₄	φ: Q₈.D₆/CSU₂(𝔽₃) → C₂ ⊆ Aut C₅	80	4	C5:1(Q8.D6)	480,973
C₅⋊₂(Q₈.D₆) = D₁₀.₁S₄	φ: Q₈.D₆/GL₂(𝔽₃) → C₂ ⊆ Aut C₅	80	4-	C5:2(Q8.D6)	480,972
C₅⋊₃(Q₈.D₆) = Q₈.D₃₀	φ: Q₈.D₆/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₅	80	4	C5:3(Q8.D6)	480,1029

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