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Nov 18, 2020 at 17:02 comment added Robert Bryant @NormanGoldstein: It does. There are 7 stabilizer types, one for each of the 3 vertices of the triangle, one for each of the interiors of the three sides, and one for the interior points of the triangle.
Nov 18, 2020 at 16:13 comment added Norman Goldstein Thanks for the intro and pointers! I'll see if this leads to the dimensions of the orbits.
Nov 18, 2020 at 16:09 comment added Vít Tuček Related: mathoverflow.net/questions/91583/…
Nov 18, 2020 at 15:26 history edited Robert Bryant CC BY-SA 4.0
Completed the answer with the explicit normal forms.
Nov 18, 2020 at 14:23 history edited Robert Bryant CC BY-SA 4.0
Completed the answer with the explicit normal forms.
Nov 18, 2020 at 12:04 history edited Robert Bryant CC BY-SA 4.0
Added a line of comment
Nov 18, 2020 at 11:56 history answered Robert Bryant CC BY-SA 4.0