does anyone know an online utility tool that computes the subgroup of the symmetric group generated by generators, for example, I want the program to tell me
$$ \langle (13)(24), (13) \rangle = \{ (1), (13)(24), (13), (24) \} $$
I’ve tried https://www.wolframalpha.com/examples/mathematics/discrete-mathematics/combinatorics/permutations/ and https://www.wolframalpha.com/examples/mathematics/algebra/finite-groups/ but none of the calculators from Wolfram Alpha seem to do what I want
Also, I don’t know if this is off-topic, please delete if these posts are not allowed
You can try GAP (specialized in computations for group theory) or SAGE.