Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U₅(2).2

Name:

U5(2).2

Group order:

27371520 = 2¹¹ ⋅ 3⁵ ⋅ 5 ⋅ 11

Number of classes:

43

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11], constructions: Aut(U5(2))

Some maximal subgroups:

	Order	Index	Structure	Name
1	13685760	2	U5(2)	U5(2)
7	1320	20736	L2(11).2	L2(11).2

Available Brauer tables:

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

Atlas representations:

16 available

Group constructions in GAP:

AtlasGroup( "U5(2).2" ), AtlasStabilizer( "Suz.2", "Suzd2G1-p32760B0" ), AtlasStabilizer( "U6(2).2", "U62d2G1-p672B0" ), AtlasSubgroup( "Suz.2", 4 ), AtlasSubgroup( "U6(2).2", 2 ), AutomorphismGroup( AtlasGroup( "U5(2)" ) ), PrimitiveGroup( 165, 2 ), PrimitiveGroup( 176, 2 ), PrimitiveGroup( 297, 2 ), PrimitiveGroup( 1408, 2 ), PrimitiveGroup( 3520, 2 )

Stored class fusions from this table:

Suz.2, U₆(2).2

Stored class fusions to this table:

2¹⁺⁶_-3.3.3²:2, 2 × U₅(2).2, 3³.S₄, 3⁴:(2 × A₅), 3¹⁺¹⁰:U₅(2):2, (3 × A₆).2₁, (3 × U₅(2)).2, L₂(11).2, U₅(2)

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