ElementOrdersPowermap( powermap )
returns the list of element orders given by the maps in the powermap powermap. The entries at positions where the powermaps do not uniquely determine the element order are set to unknowns (see chapter Unknowns).
gap> t:= CharTable( "3.J3.2" );; t.powermap;
[ , [ 1, 2, 1, 2, 5, 6, 7, 3, 4, 10, 11, 12, 5, 6, 8, 9, 18, 19, 17,
10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 1,
3, 7, 8, 8, 13, 18, 19, 17, 23, 23, 28, 30 ],
[ 1, 1, 3, 3, 1, 1, 1, 8, 8, 10, 10, 10, 3, 3, 15, 15, 7, 7, 7, 20,
20, 20, 8, 8, 10, 10, 10, 30, 30, 28, 28, 32, 32, 32, 35, 36,
35, 38, 39, 36, 37, 37, 37, 38, 38, 47, 46 ],,
[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 2, 13, 14, 15, 16, 19, 17, 18,
3, 4, 4, 23, 24, 5, 6, 6, 30, 31, 28, 29, 32, 34, 33, 35, 36,
37, 38, 39, 40, 43, 41, 42, 44, 45, 47, 46 ],,,,,,,,,,,,
[ 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, 1, 2, 1, 2, 32, 34, 33, 35,
36, 37, 38, 39, 40, 41, 42, 43, 45, 44, 35, 35 ],,
[ 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, 1, 2, 2,
35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ] ]
gap> ElementOrdersPowermap( last );
[ 1, 3, 2, 6, 3, 3, 3, 4, 12, 5, 15, 15, 6, 6, 8, 24, 9, 9, 9, 10,
30, 30, 12, 12, 15, 15, 15, 17, 51, 17, 51, 19, 57, 57, 2, 4, 6, 8,
8, 12, 18, 18, 18, 24, 24, 34, 34 ]
gap> Unbind( t.powermap[17] ); ElementOrdersPowermap( t.powermap );
[ 1, 3, 2, 6, 3, 3, 3, 4, 12, 5, 15, 15, 6, 6, 8, 24, 9, 9, 9, 10,
30, 30, 12, 12, 15, 15, 15, Unknown(11), Unknown(12), Unknown(13),
Unknown(14), 19, 57, 57, 2, 4, 6, 8, 8, 12, 18, 18, 18, 24, 24,
Unknown(15), Unknown(16) ]
GAP 3.4.4