What is the greatest number of axes of symmetry that a spatial figure consisting of three lines, none of which are parallel or coincident, can have?

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A spatial figure consisting of two non-parallel and non-coincident lines $l_{1}$ and $l_{2}$ has exactly three axes of symmetry. Indeed, consider the plane $\Pi$, parallel to the lines $l_{1}$ and $l_{2}$ and equidistant from them (in the case of intersecting lines, this will be the plane containing them). The axes of symmetry will be the two bisectors of the angles formed by the orthogonal projections of the lines $l_{1}$ and $l_{2}$ onto the plane $\Pi$, and the line perpendicular to the plane $\Pi$ and passing through the point of intersection of the projections. An axis of symmetry of a figure consisting of three lines is also an axis of symmetry of some two of these lines. From three lines, three pairs of lines can be chosen. Therefore, the number of axes of symmetry of a figure consisting of three lines does not exceed 9. It is also clear that a figure consisting of three mutually perpendicular lines passing through one point has exactly 9 axes of symmetry.