Extensions 1→N→G→Q→1 with N=C₅⋊₂C₁₆ and Q=C₂

Direct product G=N×Q with N=C₅⋊₂C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₅⋊₂C₁₆		160		C2xC5:2C16	160,18

Semidirect products G=N:Q with N=C₅⋊₂C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆⋊₁C₂ = C₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4+	C5:2C16:1C2	160,33
C₅⋊₂C₁₆⋊₂C₂ = D₈.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4-	C5:2C16:2C2	160,34
C₅⋊₂C₁₆⋊₃C₂ = C₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	80	4+	C5:2C16:3C2	160,35
C₅⋊₂C₁₆⋊₄C₂ = C₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	80	2	C5:2C16:4C2	160,5
C₅⋊₂C₁₆⋊₅C₂ = C₂₀.₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	80	2	C5:2C16:5C2	160,19
C₅⋊₂C₁₆⋊₆C₂ = D₅×C₁₆	φ: trivial image	80	2	C5:2C16:6C2	160,4

Non-split extensions G=N.Q with N=C₅⋊₂C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆.₁C₂ = C₅⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4-	C5:2C16.1C2	160,36
C₅⋊₂C₁₆.₂C₂ = C₅⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₁₆	160	4	C5:2C16.2C2	160,3

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