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<p>[3,3,5]<sup>+</sup>. For other Coxeter groups with even-order branches, the commutator subgroup has index 2<sup>c</sup>, where c is the number of disconnected subgraphs when all the even-order branches are removed.</p>

<p>For example, [4,4] has three independent nodes in the Coxeter diagram when the <b>4</b>s are removed, so its commutator subgroup is index 2<sup>3</sup>, and can have different representations, all with three <b><sup>+</sup></b> operators: [4<sup>+</sup>,4<sup>+</sup>]<sup>+</sup>, [1<sup>+</sup>,4,1<sup>+</sup>,4,1<sup>+</sup>],</p><p>
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