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I would like to find the (set-wise) stabilizer of a non-conic oval in PG(2,32). I have generated the points of the oval as points of ProjectiveSpace(2,GF(32)). PGL(3,32) however, is a permutation group acting on $[1,\ldots,1057]$. PGL has not yet been implemented as a group of $n \times n$ matrices so I will need to correctly map the points of ProjectiveSpace(2,GF(32)) to $[1,\ldots,1057]$. Does anyone know how they correctly correspond?

I would like to find the (set-wise) stabilizer of a non-conic oval in PG(2,32). I have generated the points of the oval as points of ProjectiveSpace(2,GF(32)). PGL(3,32) however, is a permutation group acting on $[1,\ldots,1057]$. PGL has not yet been implemented as a group of $n \times n$ matrices so I will need to correctly map the points of ProjectiveSpace(2,GF(32)) to $[1,\ldots,1057]$. Does anyone know how they correctly correspond?

I would like to find the (set-wise) stabilizer of a non-conic oval in PG(2,32). I have generated the points of the oval as points of ProjectiveSpace(2,GF(32)). PGL(3,32) however, is a permutation group acting on $[1,\ldots,1057]$. PGL has not yet been implemented as a group of $n \times n$ matrices so I will need to correctly map the points of ProjectiveSpace(2,GF(32)) to $[1,\ldots,1057]$. Does anyone know how they correctly correspond?