GAP Character Table Library

Character Table Info for Co₂

Group Order:

42305421312000 = 2¹⁸ 3⁶ 5³ 7 11 23

Number of Classes:

InfoText Value:

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

Maximal subgroups:

Order Index Name

18393661440 2300 U₆(2).2

908328960 46575 2^10:m22:2

898128000 47104 M^cL

743178240 56925 2^1+8:s6f2

88704000 476928 HS.2

41287680 1024650 2^1+4+6.a8

26127360 1619200 U₄(3).D₈

11796480 3586275 2^(4+10)(S5xS3)

10200960 4147200 M₂₃

933120 45337600 3^1+4:2^1+4.s5

12000 3525451776 5^(1+2):4S4

Stored Sylow Normalizers:

Prime Order Index Name

2 262144 161382375 Co2N2

3 23328 1813504000 3^(1+4)_+:(S3xQD16)

5 12000 3525451776 5^(1+2):4S4

7 336 125908992000 Co2N7

11 110 384594739200 11:10

23 253 167215104000 23:11

Stored class fusions from this table:

Name

Co₁

Stored class fusions to this table:

Name

M₂₃

23:11

2^(4+10)(S5xS3)

2^1+4+6.a8

2^1+8:s6f2

2^10:m22:2

3^1+4:2^1+4.s5

11:10

2^10:(2^5:s5)

HS.2

M^cL

5^(1+2):4S4

3^(1+4)_+:(S3xQD16)

Co2N7

U₄(3).D₈

U₆(2).2

Order	Index	Name
18393661440	2300	U₆(2).2
908328960	46575	2^10:m22:2
898128000	47104	M^cL
743178240	56925	2^1+8:s6f2
88704000	476928	HS.2
41287680	1024650	2^1+4+6.a8
26127360	1619200	U₄(3).D₈
11796480	3586275	2^(4+10)(S5xS3)
10200960	4147200	M₂₃
933120	45337600	3^1+4:2^1+4.s5
12000	3525451776	5^(1+2):4S4

Prime	Order	Index	Name
2	262144	161382375	Co2N2
3	23328	1813504000	3^(1+4)_+:(S3xQD16)
5	12000	3525451776	5^(1+2):4S4
7	336	125908992000	Co2N7
11	110	384594739200	11:10
23	253	167215104000	23:11

GAP Character Table Library

Character Table Info for Co2

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

Character Table Info for Co₂