Dominik Bernhardt

Thanks @hulpke . So It comes done to the backtrack, which means this is nothing one can improve quickly.

@ChrisJefferson Yes they are: `pi:=(4, 8)(5, 9)(6, 7)(13, 17)(14, 18)(15, 16)(22, 26)(23, 27)(24, 25)(28, 392, 34, 389, 31, 395)(29, 394, 35, 391, 32, 388)(30, 390, 36, 396, 33, 393)(37, 169,...

@wilfwilson and @ChrisJefferson Thanks! I have a lot of examples in which the conjugacy is slow. If you want, I can provide them to you via Mail oder Slack as...

There is a much smaller example on `31` points I can give you: `G := Group([ (2,5,4,3)(6,11,16,21)(7,15,19,23)(8,12,20,24)(9,13,17,25)(10,14,18,22)(27,29)(28,30), (1,26,4,6,9,23,8,17,13,28,5,21,14,12,10,15,18,25,30,2,16,19,29,31)(3,11,24,20,7,27) ]); H := Group([ (1,4,29,2)(3,30,18,20)(5,19,26,10)(6,13)(7,8,27,31)(9,28,24,16)(12,22)(14,21,17,23), (1,16,12,31,26,19,5,18,2,23,9,13,8,20,14,10,30,29,28,22,15,25,11,27)(3,21,24,6,7,17) ]); ` Magma finds out that...

That's interesting, thanks @hulpke . I think this won't be fast for the groups I'm dealing with in general, but I'll have a look at it.

Just as an update, using `SetVerbose("Partition", 3)'` in Magma before testing for conjugacy yields the following information: ``` Checking orders, transitivity and orbits for quick answer No quick answer found....

> On Mon, Sep 13, 2021 at 03:35:24AM -0700, Dominik Bernhardt wrote: Just as an update, using `SetInfoLevel("Partition", 3)'` in Magma before testing for conjugacy yields the following information: >...