Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄○C₁₆

Direct product G=N×Q with N=C₅ and Q=D₄○C₁₆

		d	ρ	Label	ID
C₅×D₄○C₁₆		160	2	C5xD4oC16	320,1005

Semidirect products G=N:Q with N=C₅ and Q=D₄○C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄○C₁₆) = Dic₁₀.C₈	φ: D₄○C₁₆/M₄(2) → C₄ ⊆ Aut C₅	160	8	C5:1(D4oC16)	320,1063
C₅⋊₂(D₄○C₁₆) = C₅⋊C₁₆.C₂²	φ: D₄○C₁₆/C₄○D₄ → C₄ ⊆ Aut C₅	160	8	C5:2(D4oC16)	320,1129
C₅⋊₃(D₄○C₁₆) = D₂₀.₆C₈	φ: D₄○C₁₆/C₂×C₁₆ → C₂ ⊆ Aut C₅	160	2	C5:3(D4oC16)	320,528
C₅⋊₄(D₄○C₁₆) = D₂₀.₅C₈	φ: D₄○C₁₆/M₅(2) → C₂ ⊆ Aut C₅	160	4	C5:4(D4oC16)	320,534
C₅⋊₅(D₄○C₁₆) = C₄₀.₇₀C₂³	φ: D₄○C₁₆/C₈○D₄ → C₂ ⊆ Aut C₅	160	4	C5:5(D4oC16)	320,767

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