Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for R(27).3

Name:

R(27).3

Group order:

30220333416 = 2³ ⋅ 3¹⁰ ⋅ 7 ⋅ 13 ⋅ 19 ⋅ 37

Number of classes:

41

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(R(27))

Some maximal subgroups:

	Order	Index	Structure	Name
1	10073444472	3	R(27)	R(27)
5	666	45375876	37:18	37:18
7	342	88363548	19:18	19:18

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
19	342	88363548	19:18	19:18
37	666	45375876	37:18	37:18

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
7	dec. matrix (PDF)
13	dec. matrix (PDF)
19	dec. matrix (PDF)
37	dec. matrix (PDF)

Atlas representations:

4 available

Group constructions in GAP:

AtlasGroup( "R(27).3" ), AutomorphismGroup( AtlasGroup( "R(27)" ) )

Stored class fusions to this table:

37:18, R(27)

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