Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U₅(2)

Name:

U5(2)

Group order:

13685760 = 2¹⁰ ⋅ 3⁵ ⋅ 5 ⋅ 11

Number of classes:

47

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	82944	165	21+6:31+2:2A4	2^{1+6}:3^{1+2}:2A4
2	77760	176	3 × U4(2)	3xU4(2)
3	46080	297	24+4:(3 × A5)	2^(4+4):(3xA5)
4	9720	1408	34:S5	3^4:S5
5	3888	3520	S3 × 3(1+2)+:2A4	S3x3^(1+2)+:2A4
6	660	20736	L2(11)	L2(11)

Available Brauer tables:

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

Atlas representations:

30 available

Group constructions in GAP:

AtlasGroup( "U5(2)" ), AtlasStabilizer( "Suz", "SuzG1-p32760B0" ), AtlasStabilizer( "U6(2)", "U62G1-p672B0" ), AtlasSubgroup( "Suz", 3 ), AtlasSubgroup( "U5(2).2", 1 ), AtlasSubgroup( "U6(2)", 1 ), PSU( 5, 2 ), PrimitiveGroup( 165, 1 ), PrimitiveGroup( 176, 1 ), PrimitiveGroup( 297, 1 ), PrimitiveGroup( 1408, 1 ), PrimitiveGroup( 3520, 1 )

Stored class fusions from this table:

Suz, U₅(2).2, U₆(2)

Stored class fusions to this table:

2⁴⁺⁴:(3 × A₅), 2¹⁺⁶:3¹⁺²:2A₄, 3⁴:S₅, 3 × U₄(2), L₂(11), S₃ × 3⁽¹⁺²⁾⁺:2A₄

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