Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.ON.2

Name:

3.ON.2

Group order:

2764893035520 = 2¹⁰ ⋅ 3⁵ ⋅ 5 ⋅ 7³ ⋅ 11 ⋅ 19 ⋅ 31

Number of classes:

70

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19,31]

Some maximal subgroups:

	Order	Index	Structure	Name
1	1382446517760	2	3.ON	3.ON
4	155520	17778376	3.(32:4 × A6).22	3.ON.2M4

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	155520	17778376	3.ON.2N3	3.ON.2N3
7	49392	55978560	3.ON.2N7	3.ON.2N7

Available Brauer tables:

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

Atlas representations:

3 available

Group constructions in GAP:

AtlasGroup( "3.ON.2" )

Stored class fusions from this table:

ON.2

Stored class fusions to this table:

3.ON, 3.(3²:4 × A₆).2², 3.ON.2N3, 3.ON.2N7, (3 × ONN2).2

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