The string C-group representations of the Suzuki, Rudvalis and O'Nan sporadic groups

We present new algorithms to classify all string C-group representations of a given group G. We use these algorithms to classify all string C-group representations of the Suzuki, Rudvalis and O’Nan sporadic groups. The new rank three algorithms also permit us to get all string C-group representations of rank three for the Conway group Co2 and the Fischer group Fi22.