Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 6.Suz.2

Name:

6.Suz.2

Group order:

5380145971200 = 2¹⁵ ⋅ 3⁸ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

174

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13]

Some maximal subgroups:

	Order	Index	Structure	Name
1	2690072985600	2	6.Suz	6.Suz
14	311040	17297280	(31+2:8 × 2.A6).2	(3^(1+2):8x2.A6).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)
13	dec. matrix (PDF)

Atlas representations:

5 available

Group constructions in GAP:

AtlasGroup( "6.Suz.2" ), AtlasSubgroup( "2.Co1", 2 )

Stored class fusions from this table:

2.Co₁, 2.Suz.2, 3.Suz.2, 3¹⁺¹²:6.Suz.2, Suz.2

Stored class fusions to this table:

3¹².6.Suz.2, 3¹⁺¹²:6.Suz.2, 6.Suz, (3¹⁺²:8 × 2.A₆).2

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