Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for M^cL.2

Name:

McL.2

Group order:

1796256000 = 2⁸ ⋅ 3⁶ ⋅ 5³ ⋅ 7 ⋅ 11

Number of classes:

33

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	898128000	2	McL	McL
2	6531840	275	U4(3).23	U4(3).2_3
3	252000	7128	U3(5).2	U3(5).2
4	116640	15400	31+4:4S5	3^(1+4):4S5
5	116640	15400	34:(M10 × 2)	3^4:(M10x2)
6	80640	22275	L3(4).22	L3(4).2^2
7	80640	22275	Isoclinic(2.A8.2)	Isoclinic(2.A8.2)
8	15840	113400	2 × M11	2xM11
9	6000	299376	51+2:(24:2)	5^(1+2):(24:2)
10	2304	779625	22+4:(S3 × S3)	2^(2+4):(S3xS3)

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	256	7016625	LyN2	LyN2
3	11664	154000	McL.2N3	McL.2N3
5	6000	299376	51+2:(24:2)	5^(1+2):(24:2)

Available Brauer tables:

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

Atlas representations:

34 available

Group constructions in GAP:

AtlasGroup( "McL.2" ), AtlasStabilizer( "Co3", "Co3G1-p276B0" ), AtlasSubgroup( "Co3", 1 ), AutomorphismGroup( AtlasGroup( "McL" ) ), PrimitiveGroup( 275, 2 )

Stored class fusions from this table:

Co₃

Stored class fusions to this table:

2(A₄ × A₄).4.2, 2²⁺⁴.(S₃ × 2), 2²⁺⁴:(S₃ × S₃), 2 × 11:5, 2 × M₁₁, 3.M^cL.2, 3⁴:(M₁₀ × 2), 3¹⁺⁴:4S₄, 3¹⁺⁴:4S₅, 5¹⁺²:(24:2), Isoclinic(2.A₈.2), L₃(4).2², LyN2, M^cL, M^cL.2N3, U₃(5).2, U₄(3).2₃

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