How many conjugacy classes each of $PSL_2(11)$ and $PGL_2(11)$ subgroups are contained in the automorphism group of the Harada-Norton group?
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1 Answer
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2
Two of ${\rm PSL}(2,11)$ (of lengths 103420800000 and 413683200000);
and two of ${\rm PGL}(2,11)$ (of lengths 206841600000 and 413683200000).
answered May 16, 2022 at 11:00
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$\begingroup$ Was that information already available online somewhere? $\endgroup$ Commented May 16, 2022 at 23:02
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$\begingroup$ No, it was a computer calculation. $\endgroup$ Commented May 17, 2022 at 8:42