Eight Queens Problem, error in printing list

[Gribouillis]

Wiki says that there are eight family solutions in total, but I have only found seven (x, y mirroring, origin, 90, 180, 270 rotation).

In Wikipedia, it is said that if you take 1 solution, you can find 3 more solutions by rotating this solution by 90, 180 or 270 degrees and that if you mirror these 4 solutions (with respect to y for example) it gives you 4 more solutions.

So normally every solution is a member of a family that contains 8 solutions. Only it is not that simple because for some solutions, the family contains only 4 members (because rotations and symetries lead to repeated solutions).

So there are 11 fundamental solutions with 8-member families -> 88 solutions, and 1 fundamental solution with a 4-member family -> 4 solutions. Hence the total number of solutions is 88 + 4 = 92