Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Co₂

Name:

Co2

Group order:

42305421312000 = 2¹⁸ ⋅ 3⁶ ⋅ 5³ ⋅ 7 ⋅ 11 ⋅ 23

Number of classes:

60

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	18393661440	2300	U6(2).2	U6(2).2
2	908328960	46575	210:M22:2	2^10:m22:2
3	898128000	47104	McL	McL
4	743178240	56925	21+8+:S6(2)	2^1+8:s6f2
5	88704000	476928	HS.2	HS.2
6	41287680	1024650	(21+6+ × 24).A8	2^1+4+6.a8
7	26127360	1619200	U4(3).D8	U4(3).D8
8	11796480	3586275	2(4+10)(S5 × S3)	2^(4+10)(S5xS3)
9	10200960	4147200	M23	M23
10	933120	45337600	31+4+:21+4−.S5	3^1+4:2^1+4.s5
11	12000	3525451776	51+2:4S4	5^(1+2):4S4

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	262144	161382375	Co2N2	Co2N2
3	23328	1813504000	31+4+:(S3 × QD16)	3^(1+4)_+:(S3xQD16)
5	12000	3525451776	51+2:4S4	5^(1+2):4S4
7	336	125908992000	Co2N7	Co2N7
11	110	384594739200	11:10	11:10
23	253	167215104000	23:11	23:11

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
11	dec. matrix (PDF)
23	dec. matrix (PDF)

Atlas representations:

31 available

Group constructions in GAP:

AtlasGroup( "Co2" ), AtlasStabilizer( "Co1", "Co1G1-p98280B0" ), AtlasSubgroup( "Co1", 1 ), PrimitiveGroup( 2300, 1 )

Stored class fusions from this table:

Co₁

Stored class fusions to this table:

(2¹⁺⁶₊ × 2⁴).A₈, 2¹⁺⁸₊:S₆(2), 2³.(2 × 2^1+3+3+3.L₃(2)), 2¹⁰.2³.2³.S₃, 2¹⁰:(2⁵:s₅), 2¹⁰:M₂₂:2, 2^1+1+2+4.(2 × 2²⁺⁴.S₃²), 2^1+1+3+3.(2 × 2³⁺³.L₃(2)), 2¹⁺⁸₊.2².2².2⁴.S₃, 2¹⁺⁸₊.2³.2².2³.S₃, 2¹⁺⁸₊.2³.2⁵.S₃, 2¹⁺⁸₊.2⁵.S₄(2), 2¹⁺²².Co₂, 2^{(4+10)(S₅ × S₃)}, 2⁴⁺¹⁰.(S₄ × S₃), 3¹⁺⁴₊:2¹⁺⁴₋.S₅, 3⁴.A₆.D₈, 3¹⁺⁴₊:(S₃ × QD₁₆), 5:4 × S₅, 5¹⁺²:4S₄, 11:10, 23:11, Co₂N2, Co₂N7, HS.2, M₂₃, M^cL, S₃ × U₄(2).2, U₄(3).D₈, U₆(2).2

File created automatically by GAP on 13-Mar-2024.