#############################################################################
##
#A  trans37a.grp                 GAP group library           Alexander Hulpke
##
#Y  Copyright (C) 2014, Derek Holt, University of Warwick
#Y  Converted by Alexander Hulpke
##
##  This file contains part of the transitive groups of degree 37
##

TRANSGRP[37]{[1..11]}:=
[[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37)],
[(2,20)(3,21)(4,22)(5,23)(6,24)(7,25)(8,26)(9,27)(10,28)(11,29)(12,30)(13,31)
(14,32)(15,33)(16,34)(17,35)(18,36)(19,37),
(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,6,9,19,37,27,24,33,17,31,12,14,
8,36,23,16,11,7,22,10,21,20)],
[(2,14,26)(3,15,27)(4,16,28)(5,17,29)(6,18,30)(7,19,31)(8,20,32)(9,21,33)
(10,22,34)(11,23,35)(12,24,36)(13,25,37),
(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,6,9,19,37,27,24,33,17,31,12,14,
8,36,23,16,11,7,22,10,21,20)],
[(2,11,20,29)(3,12,21,30)(4,13,22,31)(5,14,23,32)(6,15,24,33)(7,16,25,34)
(8,17,26,35)(9,18,27,36)(10,19,28,37),
(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,6,9,19,37,27,24,33,17,31,12,14,
8,36,23,16,11,7,22,10,21,20)],
[(2,8,14,20,26,32)(3,9,15,21,27,33)(4,10,16,22,28,34)(5,11,17,23,29,35)
(6,12,18,24,30,36)(7,13,19,25,31,37),
(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,6,9,19,37,27,24,33,17,31,12,14,
8,36,23,16,11,7,22,10,21,20)],
[(2,6,10,14,18,22,26,30,34)(3,7,11,15,19,23,27,31,35)(4,8,12,16,20,24,28,32,36)
(5,9,13,17,21,25,29,33,37),(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,
6,9,19,37,27,24,33,17,31,12,14,8,36,23,16,11,7,22,10,21,20)],
[(2,5,8,11,14,17,20,23,26,29,32,35)(3,6,9,12,15,18,21,24,27,30,33,36)
(4,7,10,13,16,19,22,25,28,31,34,37),
(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,6,9,19,37,27,24,33,17,31,12,14,
8,36,23,16,11,7,22,10,21,20)],
[(2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36)(3,5,7,9,11,13,15,17,19,
21,23,25,27,29,31,33,35,37),(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,
6,9,19,37,27,24,33,17,31,12,14,8,36,23,16,11,7,22,10,21,20)],
[(2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37),(1,2,3,28,4,25,29,34,5,18,26,32,30,13,35,15,
6,9,19,37,27,24,33,17,31,12,14,8,36,23,16,11,7,22,10,21,20)],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37),(35,36,37)],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37),(1,2)]];
TRANSPROPERTIES[37]{[1..11]}:=
[
[37,1,1,1,
"sFFsFFsFFsFFsFFsFFsFFsFFsFFsFFs9A10"
,[17037],[35037],[209037]],
[74,1,1,1,
"s0240sFFsFFsFFsFFsFFsFFsFFsFFsFFsFFs9710"
,[17037],[-17074],[-95074,17037]],
[111,1,1,1,
"s1010sFFsFFsFFsFFsFFsFFsFFsFFsFFsFFs8910"
,[5111],[11111],[11037,65111]],
[148,1,1,-1,
"s0240s3C04sFFsFFsFFsFFsFFsFFsFFsFFsFFsFFs5A10"
,[-8074],[-8148],[-47148,-8074]],
[222,1,1,1,
"s0240s0D10sFFs4108sFFsFFsFFsFFsFFsFFsFFsFFsFFs4710"
,[5111],[-5222],[-29222,-5074,5111]],
[333,1,1,1,
"s1010sFFsFFsFFsFFs4102sFFsFFsFFsFFsFFsFFs4710"
,[1333],[3333],[3111,21333]],
[444,1,1,-1,
"s0240s0D10s2E04sFFs1208sFFsFFsFFsFFsFFsCD02sFFsFFsFFs7810"
,[-2222],[-2444],[-14444,-2222,-2148]],
[666,1,1,1,
"s0240s0D10sFFs4108sFFsFFsFE02sFFsFFsFFsFFsFFs7E02sC710"
,[1333],[-1666],[-9666,-1222,1333]],
[1332,1,2,-1,
"s0240s0D10s2E04sFFs1208sFFsFFsFE02sFFsFFsCD02sFFsFFsAF02sC730"
,[-666],[-1332],[-5332,-666,-444]],
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,[666],[1332],[7770]],
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,[-666],[-1332],[-7770]]];
