International Journal of Mathematics and Mathematical Sciences

Research Article

Fischer-Clifford Matrices and Character Table of the Maximal Subgroup of

Table 7

The character table of .


		1A				2A				2B



1	1	1	1	1	1	1	1	1	1	1	1
1	1	1	1	-1	-1	-1	-1	-1	1	1	1
20	20	20	20	-6	-6	-6	-6	-6	4	4	4
20	20	20	20	6	6	6	6	6	4	4	4
35	35	35	35	-7	-7	-7	-7	-7	3	3	3
35	35	35	35	7	7	7	7	7	3	3	3
45	45	45	45	-3	-3	-3	-3	-3	-3	-3	-3
45	45	45	45	-3	-3	-3	-3	-3	-3	-3	-3
45	45	45	45	3	3	3	3	3	-3	-3	-3
45	45	45	45	3	3	3	3	3	-3	-3	-3
64	64	64	64	8	8	8	8	8	0	0	0
64	64	64	64	-8	-8	-8	-8	-8	0	0	0
70	70	70	70	0	0	0	0	0	6	6	6
126	126	126	126	0	0	0	0	0	-2	-2	-2

21	-11	5	-3	7	-1	-5	3	-1	5	-3	5
21	-11	5	-3	-7	1	5	-3	1	5	-3	5
84	-44	20	-12	14	-2	-10	6	-2	4	4	4
84	-44	20	-12	-14	2	10	-6	2	4	4	4
105	-55	25	-15	-7	1	5	-3	1	9	1	9
105	-55	25	-15	7	-1	-5	3	-1	9	1	9
126	-66	30	-18	0	0	0	0	0	-2	14	-2
315	-165	75	-45	-21	3	15	-9	3	11	-13	11
315	-165	75	-45	-21	3	15	-9	3	-5	3	-5
315	-165	75	-45	21	-3	-15	9	-3	11	-13	11
315	-165	75	-45	21	-3	-15	9	-3	-5	3	-5
630	-330	150	-90	0	0	0	0	0	-10	6	-10

210	50	2	-6	28	4	8	0	-4	18	10	2
210	50	2	-6	-28	-4	-8	0	4	18	10	2
210	50	2	-6	-14	10	-10	-2	2	2	-6	18
210	50	2	-6	14	-10	10	2	-2	2	-6	18
420	100	4	-12	-14	-14	2	2	2	20	4	20
420	100	4	-12	14	14	-2	-2	-2	20	4	20
630	150	6	-18	0	24	-12	-4	0	-10	-2	6
630	150	6	-18	-42	-18	-6	2	6	6	14	-10
630	150	6	-18	42	18	6	-2	-6	6	14	-10
630	150	6	-18	0	-24	12	4	0	-10	-2	6
1260	300	12	-36	0	0	0	0	0	-20	-4	12
1260	300	12	-36	0	0	0	0	0	12	28	-20
1260	300	12	-36	-42	6	-18	-2	6	-4	-20	-4
1260	300	12	-36	42	-6	18	2	-6	-4	-20	-4

280	-40	-8	8	28	-4	-4	-4	4	8	-8	-8
280	-40	-8	8	-28	4	4	4	-4	8	-8	-8
280	-40	-8	8	-28	4	4	4	-4	8	-8	-8
280	-40	-8	8	28	-4	-4	-4	4	8	-8	-8
560	-80	-16	16	0	0	0	0	0	16	-16	-16
560	-80	-16	16	0	0	0	0	0	-16	16	16
560	-80	-16	16	0	0	0	0	0	-16	16	16
2240	-320	-64	64	-56	8	8	8	-8	0	0	0
2240	-320	-64	64	56	-8	-8	-8	8	0	0	0





1	1	1	1	1	1	1	1	1	1	1	1	1
1	1	1	1	1	1	1	1	1	1	1	1	1
4	4	4	4	4	2	2	2	2	0	0	0	0
4	4	4	4	4	2	2	2	2	0	0	0	0
3	3	3	3	3	-1	-1	-1	-1	3	3	3	3
3	3	3	3	3	-1	-1	-1	-1	3	3	3	3
-3	-3	-3	-3	-3	0	0	0	0	1	1	1	1
-3	-3	-3	-3	-3	0	0	0	0	1	1	1	1
-3	-3	-3	-3	-3	0	0	0	0	1	1	1	1
-3	-3	-3	-3	-3	0	0	0	0	1	1	1	1
0	0	0	0	0	1	1	1	1	0	0	0	0
0	0	0	0	0	1	1	1	1	0	0	0	0
6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2
-2	-2	-2	-2	-2	0	0	0	0	-2	-2	-2	-2

-3	1	-3	1	1	3	-3	1	-1	1	1	1	-1
-3	1	-3	1	1	3	-3	1	-1	1	1	1	-1
4	4	-4	-4	4	3	-3	1	-1	0	0	0	0
4	4	-4	-4	4	3	-3	1	-1	0	0	0	0
1	5	-7	-3	5	-3	3	-1	1	1	1	1	-1
1	5	-7	-3	5	-3	3	-1	1	1	1	1	-1
14	6	-2	-10	6	0	0	0	0	-2	-2	-2	2
-13	-1	-5	7	-1	0	0	0	0	-1	-1	-1	1
3	-1	3	-1	-1	0	0	0	0	3	3	3	-3
-13	-1	-5	7	-1	0	0	0	0	-1	-1	-1	1
3	-1	3	-1	-1	0	0	0	0	3	3	3	-3
6	-2	6	-2	-2	0	0	0	0	-2	-2	-2	2

-6	-2	2	-2	-2	3	3	-1	-1	2	2	-2	0
-6	-2	2	-2	-2	3	3	-1	-1	2	2	-2	0
10	-2	2	-2	-2	3	3	-1	-1	-2	-2	2	0
10	-2	2	-2	-2	3	3	-1	-1	-2	-2	2	0
4	-4	4	-4	-4	-3	-3	1	1	0	0	0	0
4	-4	4	-4	-4	-3	-3	1	1	0	0	0	0
14	10	-2	2	-6	0	0	0	0	-2	-2	2	0
-2	10	-2	2	-6	0	0	0	0	2	2	-2	0
-2	10	-2	2	-6	0	0	0	0	2	2	-2	0
14	10	-2	2	-6	0	0	0	0	-2	-2	2	0
28	-12	-4	4	4	0	0	0	0	4	4	-4	0
-4	-12	-4	4	4	0	0	0	0	-4	-4	4	0
-20	4	4	-4	4	0	0	0	0	0	0	0	0
-20	4	4	-4	4	0	0	0	0	0	0	0	0

8	0	0	0	0	1	-1	-1	1	4	-4	0	0
8	0	0	0	0	1	-1	-1	1	4	-4	0	0
8	0	0	0	0	1	-1	-1	1	4	-4	0	0
8	0	0	0	0	1	-1	-1	1	4	-4	0	0
16	0	0	0	0	2	-2	-2	2	-8	8	0	0
-16	0	0	0	0	2	-2	-2	2	0	0	0	0
-16	0	0	0	0	2	-2	-2	2	0	0	0	0
0	0	0	0	0	-1	1	1	-1	0	0	0	0
0	0	0	0	0	-1	1	1	-1	0	0	0	0





1	1	1	1	1	1	1	1	1	1	1	1
1	1	1	1	-1	-1	-1	-1	-1	-1	1	1
0	0	0	0	-2	-2	-2	-2	-2	-2	0	0
0	0	0	0	2	2	2	2	2	2	0	0
-1	-1	-1	-1	1	1	1	1	1	1	0	0
-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0
1	1	1	1	1	1	1	1	1	1	0	0
1	1	1	1	1	1	1	1	1	1	0	0
1	1	1	1	-1	-1	-1	-1	-1	-1	0	0
1	1	1	1	-1	-1	-1	-1	-1	-1	0	0
0	0	0	0	0	0	0	0	0	0	-1	-1
0	0	0	0	0	0	0	0	0	0	-1	-1
2	2	2	2	0	0	0	0	0	0	0	0
-2	-2	-2	-2	0	0	0	0	0	0	1	1

1	1	1	-1	3	-1	1	-3	-1	1	1	-1
1	1	1	-1	-3	1	-1	3	1	-1	1	-1
0	0	0	0	2	2	-2	-2	-2	2	-1	1
0	0	0	0	-2	-2	2	2	2	-2	-1	1
1	1	1	-1	1	-3	3	-1	1	-1	0	0
1	1	1	-1	-1	3	-3	1	-1	1	0	0
-2	-2	-2	2	0	0	0	0	0	0	1	-1
-1	-1	-1	1	-1	3	-3	1	-1	1	0	0
-1	-1	-1	1	3	-1	1	-3	-1	1	0	0
-1	-1	-1	1	1	-3	3	-1	1	-1	0	0
-1	-1	-1	1	-3	1	-1	3	1	-1	0	0
2	2	2	-2	0	0	0	0	0	0	0	0

2	2	-2	0	4	0	-2	2	0	-2	0	0
2	2	-2	0	-4	0	2	-2	0	2	0	0
-2	-2	2	0	-2	2	0	-4	2	0	0	0
-2	-2	2	0	2	-2	0	4	-2	0	0	0
0	0	0	0	-2	-2	2	2	-2	2	0	0
0	0	0	0	2	2	-2	-2	2	-2	0	0
2	2	-2	0	0	-4	-2	2	0	2	0	0
-2	-2	2	0	2	-2	-4	0	2	0	0	0
-2	-2	2	0	-2	2	4	0	-2	0	0	0
2	2	-2	0	0	4	2	-2	0	-2	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	2	2	2	2	-2	-2	0	0
0	0	0	0	-2	-2	-2	-2	2	2	0	0

4	-4	0	0	0	0	0	0	0	0	0	0
-4	4	0	0	0	0	0	0	0	0	0	0
4	-4	0	0	0	0	0	0	0	0	0	0
-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	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0





1	1	1	1	1	1	1	1	1	1	1	1
-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1
0	0	0	0	-1	-1	0	0	0	0	1	1
0	0	0	0	-1	-1	0	0	0	0	-1	-1
-1	-1	-1	-1	0	0	1	1	1	1	0	0
1	1	1	1	0	0	-1	-1	-1	-1	0	0
0	0	0	0			-1	-1	-1	-1
0	0	0	0			-1	-1	-1	-1
0	0	0	0			1	1	1	1
0	0	0	0			1	1	1	1
-1	-1	-1	-1	1	1	0	0	0	0	1	1
1	1	1	1	1	1	0	0	0	0	-1	-1
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0

1	-1	-1	1	0	0	1	1	-1	-1	0	0
-1	1	1	-1	0	0	-1	-1	1	1	0	0
-1	1	1	-1	0	0	0	0	0	0	0	0
1	-1	-1	1	0	0	0	0	0	0	0	0
-1	1	1	-1	0	0	1	1	-1	-1	0	0
1	-1	-1	1	0	0	-1	-1	1	1	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	1	1	-1	-1	0	0
0	0	0	0	0	0	-1	-1	1	1	0	0
0	0	0	0	0	0	-1	-1	1	1	0	0
0	0	0	0	0	0	1	1	-1	-1	0	0
0	0	0	0	0	0	0	0	0	0	0	0

1	1	-1	-1	0	0	0	0	0	0	0	0
-1	-1	1	1	0	0	0	0	0	0	0	0
1	1	-1	-1	0	0	0	0	0	0	0	0
-1	-1	1	1	0	0	0	0	0	0	0	0
1	1	-1	-1	0	0	0	0	0	0	0	0
-1	-1	1	1	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0

1	-1	1	-1	0	0	2	-2	0	0	0	0
-1	1	-1	1	0	0	2	-2	0	0	0	0
-1	1	-1	1	0	0	-2	2	0	0	0	0
1	-1	1	-1	0	0	-2	2	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0			0	0
0	0	0	0	0	0	0	0			0	0
1	-1	1	-1	0	0	0	0	0	0	0	0
-1	1	-1	1	0	0	0	0	0	0	0	0

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