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Fusing the $PGL$\mathrm{PGL}(2,11)$ conjugacy classes of $Aut$\mathrm{Aut}(M_{12})$
Is there an embedding of $Aut(M_{12})$$\mathrm{Aut}(M_{12})$ into the automorphism group of some larger sporadic group that fuses its two conjugacy classes of $PGL(2,11)$$\mathrm{PGL}(2,11)$ subgroups?
Fusing the $PGL(2,11)$ conjugacy classes of $Aut(M_{12})$
Is there an embedding of $Aut(M_{12})$ into the automorphism group of some larger sporadic group that fuses its two conjugacy classes of $PGL(2,11)$ subgroups?
Fusing the $\mathrm{PGL}(2,11)$ conjugacy classes of $\mathrm{Aut}(M_{12})$
Is there an embedding of $\mathrm{Aut}(M_{12})$ into the automorphism group of some larger sporadic group that fuses its two conjugacy classes of $\mathrm{PGL}(2,11)$ subgroups?
Fusing the $PGL(2,11)$ conjugacy classes of $Aut(M_{12})$
Is there an embedding of $Aut(M_{12})$ into the automorphism group of some larger sporadic group that fuses its two conjugacy classes of $PGL(2,11)$ subgroups?
