This tiling represents a hyperbolic kaleidoscope of 8 mirrors meeting at a point and bounding regular octagon fundamental domains.
This symmetry by orbifold notation is called *33333333 with 8 order-3 mirror intersections.
In Coxeter notation can be represented as [8*,6], removing two of three mirrors (passing through the octagon center) in the [8,6] symmetry.
Removing the mirror between the order 2 and 6 points, [8,6,1+], gives [(8,8,3)], (*883).
This tiling is topologically related as a part of sequence of regular tilings with octagonal faces, starting with the octagonal tiling, with Schläfli symbol {8,n}, and Coxeter diagram , progressing to infinity.