, while in 2-dimensions [1], or [ ]×[ ]⁺. The 1 is a place-holder, not an actual branch order, but a marker for an orthogonal inactive mirror. The notation [n,1], represents a rank 3 group, as [n]×[ ]⁺ or . Similarly, [1,1] as [ ]×[ ]⁺×[ ]⁺ or order 2 and [1,1]⁺ as [ ]⁺×[ ]⁺×[ ]⁺ or , order 1!

Subgroups

Coxeter's notation represents rotational/translational symmetry by adding a

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