GAP Character Table Library

Character Table Info for Fi22

Group Order:

64561751654400 = 217 39 52 7 11 13

Number of Classes:

65

InfoText Value:

origin: ATLAS of finite groups, tests: 1.o.r.

Maximal subgroups:

Order Index Name
18393661440 3510 2.U6(2)
4585351680 14080 O7(3)
4585351680 14080 Fi22M3
1045094400 61776 O8+(2).3.2
454164480 142155 2^10:m22
92897280 694980 2^6:s6f2
53084160 1216215 (2x2^(1+8)):U4(2):2
39191040 1647360 S3xU4(3).2_2
17971200 3592512 2F4(2)'
17694720 3648645 2^(5+8):(S3xA6)
5038848 12812800 3^(1+6):2^(3+4):3^2:2
3628800 17791488 A10.2
3628800 17791488 A10.2
95040 679311360 M12

Stored Sylow Normalizers:

Prime Order Index Name
3 78732 820019200 Fi22N3
5 2400 26900729856 Fi22N5

Stored class fusions from this table:

Name
Fi22.2
2E6(2)

Stored class fusions to this table:

Name
A10.2
2.Fi22
3.Fi22
6.Fi22
M12
M22
3^(1+6):2^(3+4):3^2:2
2^(5+8):(S3xA6)
S3xU4(3).2_2
(2x2^(1+8)):U4(2):2
2x2.Fi22
2^10:m22
2^6:s6f2
u4q3.s3
Fi22M3
O7(3)
O8+(2).2
O8+(2).3.2
Fi22N3
Fi22N5
2F4(2)'
U4(3)
U4(3).22
2.U6(2)


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