Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(31)

Name:

L2(31)

Group order:

14880 = 2⁵ ⋅ 3 ⋅ 5 ⋅ 31

Number of classes:

18

InfoText value:

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

Duplicates:

ONM8

Maximal subgroups:

	Order	Index	Structure	Name
1	465	32	31:15	31:15
2	60	248	A5	A5
3	60	248	A5	A5
4	32	465	D32	D32
5	30	496	D30	D30
6	24	620	S4	Symm(4)
7	24	620	S4	Symm(4)

Available Brauer tables:

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

Atlas representations:

27 available

Group constructions in GAP:

AtlasGroup( "L2(31)" ), AtlasSubgroup( "ON", 7 ), AtlasSubgroup( "ON", 8 ), POmega( 3, 31 ), PSL( 2, 31 ), PSU( 2, 31 ), PSp( 2, 31 ), PerfectGroup( 14880, 1 ), PrimitiveGroup( 32, 4 ), PrimitiveGroup( 248, 1 ), PrimitiveGroup( 465, 1 ), PrimitiveGroup( 496, 1 ), PrimitiveGroup( 620, 1 )

Stored class fusions from this table:

B, L₂(31).2, ON

Stored class fusions to this table:

2.L₂(31), 31:15, A₅, D₃₀, D₃₂, S₄

File created automatically by GAP on 20-May-2025.