International Journal of Mathematics and Mathematical Sciences

Research Article

The Projective Character Tables of a Solvable Group

Table 9

Projective character table of with factor set .
1a2a2b2c2d2e2f2g2h2i3a3b2j2k4a4b6a6b2l2m4c4d6c6d2n2o4e4f6e6f
768256256256256256646464641212192643232121219264323212121926432321212
222222222222000000000000000000
2222222222A/A000000000000000000
2222222222/AA000000000000000000
666666−2−2−2−200000000000000000000
6−26−2−2−2−22−2200000000000−400000000
6−26−2−2−2−22−2200000000000400000000
6−26−2−2−22−22−20000000000−4000000000
6−26−2−2−22−22−200000000004000000000
66−2−2−2−2−2−22200000000000000000−400
66−2−2−2−2−2−22200000000000000000400
66−2−2−2−222−2−20000000000000000−4000
66−2−2−2−222−2−200000000000000004000
6−2−2−26−2−222−200000B00000000000000
6−2−2−26−2−222−200000−B00000000000000
6−2−2−26−22−2−220000B000000000000000
6−2−2−26−22−2−220000−B000000000000000
12−4−412−4−4000000000000000000000000
12−4−4−4−412000000000000000000000000
Note. A = −1 − i3; B = −4i.