[GAP Forum] Displaying a character table of a group G

ayoubac basheer ayoubbasheer at gmail.com
Fri Apr 15 19:24:31 BST 2011


Dear all

The below two elements a and b (6x6 matrices over GF(4)) are generators of a
group G of order 1 002 700 800 and has 165 conjugacy classes. I am trying to
display the character table of G, but the machine I use keeps telling me
"exceeded permitted memory ........" and it breaks without showing me the
character table of G. Can anyone helps by attaching me on (
ayoubbasheer at gmail.com ) the character of G in a word file.

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a:= [[Z(4)^0,  0*Z(4),   0*Z(4),  0*Z(4),   0*Z(4),   0*Z(4)],
     [Z(4)^1,   Z(4)^1,   Z(4)^1,  Z(4)^2,   Z(4)^1,   0*Z(4)],
     [Z(4)^1,   Z(4)^0,   Z(4)^0,  Z(4)^2,   0*Z(4),   0*Z(4)],
     [0*Z(4),   Z(4)^2,   Z(4)^1,  Z(4)^2,   Z(4)^2,   0*Z(4)],
     [0*Z(4),   Z(4)^1,   Z(4)^0,  0*Z(4),   Z(4)^2,   0*Z(4)],
     [Z(4)^0,   Z(4)^1,   Z(4)^0,  Z(4)^0,   0*Z(4),   Z(4)^0]];



b:= [[Z(4)^0,   0*Z(4),   0*Z(4),   0*Z(4),   0*Z(4),   0*Z(4)],
    [Z(4)^0,    Z(4)^1,   Z(4)^0,   Z(4)^0,   Z(4)^1,   0*Z(4)],
    [Z(4)^0,    Z(4)^2,   0*Z(4),   Z(4)^0,   0*Z(4),   0*Z(4)],
    [Z(4)^2,    Z(4)^1,   Z(4)^1,   Z(4)^2,   Z(4)^0,   0*Z(4)],
    [Z(4)^0,    Z(4)^1,   Z(4)^1,   Z(4)^0,   Z(4)^2,   0*Z(4)],
    [Z(4)^2,    0*Z(4),   Z(4)^0,   0*Z(4),   0*Z(4),   Z(4)^0]];

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gap> G:= Group(a,b);

gap> ct:= CharacterTable(G);

gap> Display(ct);


Kind regards


Ayoub Basheer


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