Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₆⋊C₂²

Direct product G=N×Q with N=C₅ and Q=C₁₆⋊C₂²

		d	ρ	Label	ID
C₅×C₁₆⋊C₂²		80	4	C5xC16:C2^2	320,1010

Semidirect products G=N:Q with N=C₅ and Q=C₁₆⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₆⋊C₂²) = D₈₀⋊C₂	φ: C₁₆⋊C₂²/M₅(2) → C₂ ⊆ Aut C₅	80	4+	C5:1(C16:C2^2)	320,535
C₅⋊₂(C₁₆⋊C₂²) = D₁₆⋊D₅	φ: C₁₆⋊C₂²/D₁₆ → C₂ ⊆ Aut C₅	80	4	C5:2(C16:C2^2)	320,538
C₅⋊₃(C₁₆⋊C₂²) = C₁₆⋊D₁₀	φ: C₁₆⋊C₂²/SD₃₂ → C₂ ⊆ Aut C₅	80	4+	C5:3(C16:C2^2)	320,541
C₅⋊₄(C₁₆⋊C₂²) = D₈.D₁₀	φ: C₁₆⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₅	80	4	C5:4(C16:C2^2)	320,774
C₅⋊₅(C₁₆⋊C₂²) = D₈⋊D₁₀	φ: C₁₆⋊C₂²/C₄○D₈ → C₂ ⊆ Aut C₅	80	4+	C5:5(C16:C2^2)	320,820

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