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#############################################################################
## File: gprime.g ##
#############################################################################
## This defines all groups of prime order up to 32
#############################################################################
##
GTW2_1 := Group( (1,2) );
SetName( GTW2_1, "2/1" ); # cyclic group order 2
GTW3_1 := Group( (1,2,3) );
SetName( GTW3_1, "3/1" ); # cyclic group order 3
GTW5_1 := Group( (1,2,3,4,5) );
SetName( GTW5_1, "5/1" ); # cyclic group order 5
GTW7_1 := Group( (1,2,3,4,5,6,7) );
SetName( GTW7_1, "7/1" ); # cyclic group order 7
GTW11_1 := Group( (1,2,3,4,5,6,7,8,9,10,11) );
SetName( GTW11_1, "11/1" ); # cyclic group of order 11
GTW13_1 := Group( (1,2,3,4,5,6,7,8,9,10,11,12,13) );
SetName( GTW13_1, "13/1" );
GTW17_1 := Group( ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17) );
SetName( GTW17_1, "17/1" );
GTW19_1 := Group( ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19) );
SetName( GTW19_1, "19/1" );
GTW23_1 := Group( ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23) );
SetName( GTW23_1, "23/1" );
GTW29_1 := Group( ( 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) );
SetName( GTW29_1, "29/1" );
GTW31_1 := Group( ( 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) );
SetName( GTW31_1, "31/1" );
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