#SRG(65,32,15,16) obtained by Gritsenko, 2021 (arXiv:2102.05432) #Prior to its discovery, this was the smallest SRG parameter set for which existence was unknown #Aut. group Q_{32} acting intransitively; 1 fixed vertex, 2 orbits of length 32 (neighbours/non-neighbours of fixed vertex) gritsenko:= UnderlyingGraph( EdgeOrbitsGraph( Group( [ (2,6,24,21,11,14,33,29,3,7,25,20,10,15,32,28)(4,18,30,9,13,26,23,17,5,19,31,8,12,27,22,16)(34,65,61,38,43,56,53,46, 35,64,60,39,42,57,52,47)(36,55,50,40,44,63,59,49,37,54,51,41,45,62,58,48), (2,4,3,5)(6,16,7,17)(8,15,9,14)(10,13, 11,12)(18,29,19,28)(20,26,21,27)(22,25,23,24)(30,33,31,32)(34,48,35,49)(36,46,37,47)(38,45,39,44)(40,43,41,42)(50, 56,51,57)(52,55,53,54)(58,64,59,65)(60,63,61,62) ] ), [ [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 1, 7 ], [ 1, 8 ], [ 1, 9 ], [ 1, 10 ], [ 1, 11 ], [ 1, 12 ], [ 1, 13 ], [ 1, 14 ], [ 1, 15 ], [ 1, 16 ], [ 1, 17 ], [ 1, 18 ], [ 1, 19 ], [ 1, 20 ], [ 1, 21 ], [ 1, 22 ], [ 1, 23 ], [ 1, 24 ], [ 1, 25 ], [ 1, 26 ], [ 1, 27 ], [ 1, 28 ], [ 1, 29 ], [ 1, 30 ], [ 1, 31 ], [ 1, 32 ], [ 1, 33 ], [ 1, 2 ], [ 2, 3 ], [ 2, 7 ], [ 2, 8 ], [ 2, 9 ], [ 2, 10 ], [ 2, 11 ], [ 2, 12 ], [ 2, 13 ], [ 2, 15 ], [ 2, 21 ], [ 2, 22 ], [ 2, 23 ], [ 2, 25 ], [ 2, 29 ], [ 2, 33 ], [ 2, 37 ], [ 2, 39 ], [ 2, 41 ], [ 2, 43 ], [ 2, 45 ], [ 2, 48 ], [ 2, 49 ], [ 2, 51 ], [ 2, 53 ], [ 2, 55 ], [ 2, 56 ], [ 2, 57 ], [ 2, 59 ], [ 2, 63 ], [ 2, 64 ], [ 2, 65 ], [ 4, 34 ], [ 5, 34 ], [ 9, 34 ], [ 10, 34 ], [ 13, 34 ], [ 14, 34 ], [ 16, 34 ], [ 18, 34 ], [ 20, 34 ], [ 21, 34 ], [ 22, 34 ], [ 25, 34 ], [ 26, 34 ], [ 28, 34 ], [ 29, 34 ], [ 31, 34 ], [ 34, 36 ], [ 34, 37 ], [ 34, 39 ], [ 34, 47 ], [ 34, 48 ], [ 34, 49 ], [ 34, 50 ], [ 34, 51 ], [ 34, 52 ], [ 34, 56 ], [ 34, 58 ], [ 34, 59 ], [ 34, 61 ], [ 34, 62 ], [ 34, 63 ], [ 34, 65 ] ] ) );