Character Table Info for HS

Group Order:

44352000 = 2⁹ 3² 5³ 7 11

Number of Classes:

24

InfoText Value:

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

Maximal subgroups:

Order	Index	Name
443520	100	M22
252000	176	U3(5).2
252000	176	HSM3
40320	1100	L3(4).21
40320	1100	A8.2
11520	3850	2^4.s6
10752	4125	4^3:psl(3,2)
7920	5600	M11
7920	5600	HSM9
7680	5775	4.2^4.S5
2880	15400	2xa6.2^2
1200	36960	5:4xa5

Stored Sylow Normalizers:

Prime	Order	Index	Name
2	512	86625	HSN2
3	288	154000	2x(3^2.QD16)
5	2000	22176	5^(1+2):(8.2)
7	42	1056000	7:6
11	55	806400	11:5

Stored class fusions from this table:

Name

Co3

HS.2

Stored class fusions to this table:

Name

A8.2

L3(4).21

HSM9

M11

M22

2^4.s6

2^4.(S4x2)

2xa6.2^2

4.2^4.S5

4.2^4:(2xS3)

4.2^4

S4x2^2

4.2^4:S4

4^3:psl(3,2)

4^3:S4

5:4xa5

5:4xA4

5:4x2^2

A4xC4

D8xV4

7:6

2.HS

Isoclinic(2.HSxC2)

2x(3^2.QD16)

5^(1+2):(8.2)

HSN2

11:5

HSM3

U3(5).2

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