Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄○D₈

Direct product G=N×Q with N=C₅ and Q=D₄○D₈

		d	ρ	Label	ID
C₅×D₄○D₈		80	4	C5xD4oD8	320,1578

Semidirect products G=N:Q with N=C₅ and Q=D₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄○D₈) = D₄.₁₂D₂₀	φ: D₄○D₈/C₈○D₄ → C₂ ⊆ Aut C₅	80	4+	C5:1(D4oD8)	320,1424
C₅⋊₂(D₄○D₈) = D₈⋊₁₃D₁₀	φ: D₄○D₈/C₂×D₈ → C₂ ⊆ Aut C₅	80	4	C5:2(D4oD8)	320,1429
C₅⋊₃(D₄○D₈) = D₈⋊₁₅D₁₀	φ: D₄○D₈/C₄○D₈ → C₂ ⊆ Aut C₅	80	4+	C5:3(D4oD8)	320,1441
C₅⋊₄(D₄○D₈) = D₈⋊₅D₁₀	φ: D₄○D₈/C₈⋊C₂² → C₂ ⊆ Aut C₅	80	8+	C5:4(D4oD8)	320,1446
C₅⋊₅(D₄○D₈) = D₂₀.₃₂C₂³	φ: D₄○D₈/2₊¹⁺⁴ → C₂ ⊆ Aut C₅	80	8+	C5:5(D4oD8)	320,1507

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