Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 6.Fi₂₂.2

Name:

6.Fi22.2

Group order:

774741019852800 = 2¹⁹ ⋅ 3¹⁰ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

234

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	387370509926400	2	6.Fi22	6.Fi22
2	220723937280	3510	(22 × 3).U6(2).2	(2^2x3).U6(2).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:

3 available

Group constructions in GAP:

AtlasGroup( "6.Fi22.2" )

Stored class fusions from this table:

2.Fi₂₂.2, 3.Fi₂₂.2, Fi₂₂.2

Stored class fusions to this table:

6.Fi₂₂, (2² × 3).U₆(2).2

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