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International Journal of Mathematics and Mathematical Sciences
/
2019
/
Article
/
Tab 9
/
Research Article
The Projective Character Tables of a Solvable Group
Table 9
Projective character table of
with factor set
.
1a
2a
2b
2c
2d
2e
2f
2g
2h
2i
3a
3b
2j
2k
4a
4b
6a
6b
2l
2m
4c
4d
6c
6d
2n
2o
4e
4f
6e
6f
768
256
256
256
256
256
64
64
64
64
12
12
192
64
32
32
12
12
192
64
32
32
12
12
192
64
32
32
12
12
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
A
/
A
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
/
A
A
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
6
6
6
6
−2
−2
−2
−2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
−2
6
−2
−2
−2
−2
2
−2
2
0
0
0
0
0
0
0
0
0
0
0
−4
0
0
0
0
0
0
0
0
6
−2
6
−2
−2
−2
−2
2
−2
2
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
6
−2
6
−2
−2
−2
2
−2
2
−2
0
0
0
0
0
0
0
0
0
0
−4
0
0
0
0
0
0
0
0
0
6
−2
6
−2
−2
−2
2
−2
2
−2
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
6
6
−2
−2
−2
−2
−2
−2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
−4
0
0
6
6
−2
−2
−2
−2
−2
−2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
6
6
−2
−2
−2
−2
2
2
−2
−2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
−4
0
0
0
6
6
−2
−2
−2
−2
2
2
−2
−2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
6
−2
−2
−2
6
−2
−2
2
2
−2
0
0
0
0
0
B
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
−2
−2
−2
6
−2
−2
2
2
−2
0
0
0
0
0
−
B
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
−2
−2
−2
6
−2
2
−2
−2
2
0
0
0
0
B
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
−2
−2
−2
6
−2
2
−2
−2
2
0
0
0
0
−
B
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
−4
−4
12
−4
−4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
−4
−4
−4
−4
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Note.
A
= −1 −
i
3;
B
= −4
i
.