G:=SmallGroup(36,12);

Conjugacy Classes of group G
----------------------------
[1]     Order 1       Length 1
        Id(G)

[2]     Order 2       Length 1
        G.2

[3]     Order 2       Length 3
        G.1 * G.2

[4]     Order 2       Length 3
        G.1

[5]     Order 3       Length 1
        G.3^2

[6]     Order 3       Length 1
        G.3

[7]     Order 3       Length 2
        G.3 * G.4

[8]     Order 3       Length 2
        G.3^2 * G.4

[9]     Order 3       Length 2
        G.4

[10]    Order 6       Length 1
        G.2 * G.3^2

[11]    Order 6       Length 1
        G.2 * G.3

[12]    Order 6       Length 2
        G.2 * G.3 * G.4

[13]    Order 6       Length 2
        G.2 * G.4

[14]    Order 6       Length 2
        G.2 * G.3^2 * G.4

[15]    Order 6       Length 3
        G.1 * G.3^2

[16]    Order 6       Length 3
        G.1 * G.3

[17]    Order 6       Length 3
        G.1 * G.2 * G.3

[18]    Order 6       Length 3
        G.1 * G.2 * G.3^2




Character Table of Group G
--------------------------


--------------------------------------------------------------------------------------
Class |   1  2  3  4      5      6   7   8  9     10     11  12 13  14  15  16  17  18
Size  |   1  1  3  3      1      1   2   2  2      1      1   2  2   2   3   3   3   3
Order |   1  2  2  2      3      3   3   3  3      6      6   6  6   6   6   6   6   6
--------------------------------------------------------------------------------------
p  =  2   1  1  1  1      6      5   8   7  9      6      5   8  9   7   6   5   5   6
p  =  3   1  2  3  4      1      1   1   1  1      2      2   2  2   2   4   4   3   3
--------------------------------------------------------------------------------------
X.1   +   1  1  1  1      1      1   1   1  1      1      1   1  1   1   1   1   1   1
X.2   +   1 -1  1 -1      1      1   1   1  1     -1     -1  -1 -1  -1  -1  -1   1   1
X.3   +   1  1 -1 -1      1      1   1   1  1      1      1   1  1   1  -1  -1  -1  -1
X.4   +   1 -1 -1  1      1      1   1   1  1     -1     -1  -1 -1  -1   1   1  -1  -1
X.5   0   1 -1  1 -1   -1-J      J   J-1-J  1    1+J     -J  -J -1 1+J 1+J  -J   J-1-J
X.6   0   1  1 -1 -1      J   -1-J-1-J   J  1      J   -1-J-1-J  1   J  -J 1+J 1+J  -J
X.7   0   1  1  1  1      J   -1-J-1-J   J  1      J   -1-J-1-J  1   J   J-1-J-1-J   J
X.8   0   1 -1 -1  1   -1-J      J   J-1-J  1    1+J     -J  -J -1 1+J-1-J   J  -J 1+J
X.9   0   1  1 -1 -1   -1-J      J   J-1-J  1   -1-J      J   J  1-1-J 1+J  -J  -J 1+J
X.10  0   1  1  1  1   -1-J      J   J-1-J  1   -1-J      J   J  1-1-J-1-J   J   J-1-J
X.11  0   1 -1 -1  1      J   -1-J-1-J   J  1     -J    1+J 1+J -1  -J   J-1-J 1+J  -J
X.12  0   1 -1  1 -1      J   -1-J-1-J   J  1     -J    1+J 1+J -1  -J  -J 1+J-1-J   J
X.13  +   2  2  0  0      2      2  -1  -1 -1      2      2  -1 -1  -1   0   0   0   0
X.14  +   2 -2  0  0      2      2  -1  -1 -1     -2     -2   1  1   1   0   0   0   0
X.15  0   2 -2  0  0 -2-2*J    2*J  -J 1+J -1  2+2*J   -2*J   J  1-1-J   0   0   0   0
X.16  0   2  2  0  0    2*J -2-2*J 1+J  -J -1    2*J -2-2*J 1+J -1  -J   0   0   0   0
X.17  0   2 -2  0  0    2*J -2-2*J 1+J  -J -1   -2*J  2+2*J-1-J  1   J   0   0   0   0
X.18  0   2  2  0  0 -2-2*J    2*J  -J 1+J -1 -2-2*J    2*J  -J -1 1+J   0   0   0   0



Explanation of Character Value Symbols
--------------------------------------

J = RootOfUnity(3)