The Projective Character Tables of a Solvable Group

Table 8

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	4	4	4	4	4	0	0	0	0	−2	−2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	4	4	4	4	4	0	0	0	0	A	/A	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	4	4	4	4	4	4	0	0	0	0	/A	A	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	6	−2	−2	−2	−2	6	0	0	0	0	0	0	0	0	−2	−2	0	0	0	0	B	−B	0	0	0	0	B	B	0	0
	6	−2	−2	−2	−2	6	0	0	0	0	0	0	0	0	−2	−2	0	0	0	0	−B	B	0	0	0	0	−B	−B	0	0
	6	−2	−2	−2	−2	6	0	0	0	0	0	0	0	0	2	2	0	0	0	0	B	−B	0	0	0	0	−B	−B	0	0
	6	−2	−2	−2	−2	6	0	0	0	0	0	0	0	0	2	2	0	0	0	0	−B	B	0	0	0	0	B	B	0	0
	6	−2	−2	6	−2	−2	0	0	0	0	0	0	0	0	−2	2	0	0	0	0	B	B	0	0	0	0	−B	B	0	0
	6	−2	−2	6	−2	−2	0	0	0	0	0	0	0	0	−2	2	0	0	0	0	−B	−B	0	0	0	0	B	−B	0	0
	6	−2	−2	6	−2	−2	0	0	0	0	0	0	0	0	2	−2	0	0	0	0	B	B	0	0	0	0	B	−B	0	0
	6	−2	−2	6	−2	−2	0	0	0	0	0	0	0	0	2	−2	0	0	0	0	−B	−B	0	0	0	0	−B	B	0	0
	12	−4	12	−4	−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	12	−4	−4	−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	12	−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

Note. A =1 + i3; B = −2i.