Its name is somewhat misleading: literal geometric truncation of pentahexagonal tiling produces rectangles instead of squares.
There are four small index subgroup from [6,5] by mirror removal and alternation.
In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.
From a Wythoff construction there are fourteen hyperbolic uniform tilings that can be based from the regular order-5 hexagonal tiling.
Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are seven forms with full [6,5] symmetry, and three with subsymmetry.