Character Table Info for Co₃

Group Order:

495766656000 = 2¹⁰ 3⁷ 5³ 7 11 23

Number of Classes:

42

InfoText Value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,23]

Maximal subgroups:

Order	Index	Name
1796256000	276	McL.2
44352000	11178	HS
13063680	37950	u4q3:2^2
10200960	48600	M23
3849120	128800	3^5:(2xm11)
2903040	170775	2.S6(2)
756000	655776	U3(5).3.2
699840	708400	3^1+4:4s6
322560	1536975	2^4.a8
241920	2049300	psl(3,4):d12
190080	2608200	2xm12
27648	17931375	2^2.(2^7.3^2).s3
9072	54648000	s3xpsl(2,8).3
1440	344282400	a4xs5

Stored Sylow Normalizers:

Prime	Order	Index	Name
2	1024	484147125	Co3N2
3	69984	7084000	Co3N3
5	6000	82627776	5^(1+2):(24:2)
7	252	1967328000	S3x7:6
11	110	4506969600	2x11:5
23	253	1959552000	23:11

Stored class fusions from this table:

Name

Co1

Stored class fusions to this table:

Name

M23

23:11

4.2^4.S5

2^2.(2^7.3^2).s3

2^4.a8

2xm12

3^1+4:4s6

3^5:(2xm11)

a4xs5

psl(3,4):d12

s3xpsl(2,8).3

u4q3:2^2

HS

McL

McL.2

5^(1+2):(24:2)

Co3N2

Co3N3

2x11:5

S3x7:6

2.S6(2)

U4(3)

U4(3).(22)133

U3(5).2

U3(5).3.2

File created automatically by GAP on 15-Oct-2003.