International Journal of Mathematics and Mathematical Sciences

Research Article

The Projective Character Tables of a Solvable Group

Table 4

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

	4	0	0	0	4	0	0	0	0	0	1	1	B	0	0	0	C	C	2	2	0	0	−1	−1	E	E	0	0	−C	−C
	4	0	0	0	4	0	0	0	0	0	1	1	−B	0	0	0	−C	−C	2	2	0	0	−1	−1	−E	−E	0	0	C	C
	4	0	0	0	4	0	0	0	0	0	A	/A	B	0	0	0	D	−/D	2	2	0	0	−A	−/A	E	E	0	0	−D	/D
	4	0	0	0	4	0	0	0	0	0	/A	A	B	0	0	0	−/D	D	2	2	0	0	−/A	−A	E	E	0	0	/D	−D
	4	0	0	0	4	0	0	0	0	0	A	/A	−B	0	0	0	−D	/D	2	2	0	0	−A	−/A	−E	−E	0	0	D	−/D
	4	0	0	0	4	0	0	0	0	0	/A	A	−B	0	0	0	/D	−D	2	2	0	0	−/A	−A	−E	−E	0	0	−/D	D
	4	0	0	0	4	0	0	0	0	0	1	1	B	0	0	0	C	C	−2	−2	0	0	1	1	−E	−E	0	0	C	C
	4	0	0	0	4	0	0	0	0	0	1	1	−B	0	0	0	−C	−C	−2	−2	0	0	1	1	E	E	0	0	−C	−C
	4	0	0	0	4	0	0	0	0	0	A	/A	B	0	0	0	D	−/D	−2	−2	0	0	A	/A	−E	−E	0	0	D	−/D
	4	0	0	0	4	0	0	0	0	0	/A	A	B	0	0	0	−/D	D	−2	−2	0	0	/A	A	−E	−E	0	0	−/D	D
	4	0	0	0	4	0	0	0	0	0	A	/A	−B	0	0	0	−D	/D	−2	−2	0	0	A	/A	E	E	0	0	−D	/D
	4	0	0	0	4	0	0	0	0	0	/A	A	−B	0	0	0	/D	−D	−2	−2	0	0	/A	A	E	E	0	0	/D	−D
	12	0	0	0	−4	0	0	0	0	0	0	0	0	−B	0	0	0	0	−6	2	0	0	0	0	F	−E	0	0	0	0
	12	0	0	0	−4	0	0	0	0	0	0	0	0	B	0	0	0	0	−6	2	0	0	0	0	−F	E	0	0	0	0
	12	0	0	0	−4	0	0	0	0	0	0	0	0	−B	0	0	0	0	6	−2	0	0	0	0	−F	E	0	0	0	0
	12	0	0	0	−4	0	0	0	0	0	0	0	0	B	0	0	0	0	6	−2	0	0	0	0	F	−E	0	0	0	0

Note. A = ; B = 4i; C = i; D = ; E = 2i; F = 6i.