[GAP Forum] Stabilizer in S_n of an equipartition

[Joe Bohanon]

How would I get the stabilizing subgroup in S_n of an equipartition of n (ie
one where all parts have the same size)?  For instance, in S_15, the
stabilizer of [1,2,3],[4,5,6],[7,8,9],[10,11,12],[13,14,15] would be the
wreath product of S_3 with S_5.

The only thing I can think of right now is to take the standard wreath
product and figure out what the conjugating element would be, but that's too
much work once n is big.

Thanks
Joe