All finite string C-groups of rank d and 2-power order have the automorphism group of Conder's C_d as a common quotient, making C_d the unique minimal regular d-polytope under combinatorial covering in this class.
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String C-groups of 2-power order project onto a common string C-group
All finite string C-groups of rank d and 2-power order have the automorphism group of Conder's C_d as a common quotient, making C_d the unique minimal regular d-polytope under combinatorial covering in this class.