Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈⋊C₂²

Direct product G=N×Q with N=C₅ and Q=D₈⋊C₂²

		d	ρ	Label	ID
C₅×D₈⋊C₂²		80	4	C5xD8:C2^2	320,1577

Semidirect products G=N:Q with N=C₅ and Q=D₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₈⋊C₂²) = C₄₀.₉C₂³	φ: D₈⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:1(D8:C2^2)	320,1420
C₅⋊₂(D₈⋊C₂²) = Q₁₆⋊D₁₀	φ: D₈⋊C₂²/C₄○D₈ → C₂ ⊆ Aut C₅	80	4	C5:2(D8:C2^2)	320,1440
C₅⋊₃(D₈⋊C₂²) = SD₁₆⋊D₁₀	φ: D₈⋊C₂²/C₈⋊C₂² → C₂ ⊆ Aut C₅	80	8-	C5:3(D8:C2^2)	320,1445
C₅⋊₄(D₈⋊C₂²) = D₄₀⋊C₂²	φ: D₈⋊C₂²/C₈.C₂² → C₂ ⊆ Aut C₅	80	8+	C5:4(D8:C2^2)	320,1449
C₅⋊₅(D₈⋊C₂²) = C₂₀.C₂⁴	φ: D₈⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:5(D8:C2^2)	320,1494

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