The following is an Abstract of a paper on Autism Spectrum Disorder. Based on this abstract  would it be a good idea to enroll a child with ASD into group sports? 
"Given the characteristics of people with Autism Spectrum Disorder, it is evident the difficulties they show in the development of social skills. The scarce participation of people with Autism Spectrum Disorder in group sports can be taken as a reference. The aim of this study was to analyse the impact of football on the development of social skills in children with Autism Spectrum Disorder. In order to measure the sporting impact, it was necessary to implement a football training programme with the intention of evaluating different social skills. Thirteen children participated in the programme, all of them with a diagnosis of Autism Spectrum Disorder and with a severity level of 1. The study was based on a pre-experimental, pre-test/post-test design. Non-parametric tests were used for the statistical analysis, applying the Wilcoxon test. Two specific tools on social skills were used for data collection. The results showed a generalised improvement in the dimensions linked to the social skills assessed. This highlights the possibility of considering group sport as an alternative to be taken into account to work on and enhance social skills in children with Autism Spectrum Disorder"

In this study, the authors assess 13 children with Autism Spectrum Disorder (ASD-Level 1)  on their social skills, before and after being enrolled in a football training program. The authors claim that the results showed an overall improvement in participant's social skills. 
This suggests that participating in group sports maybe considered as a method to improve children with ASD's social and communication skills.