Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(8)

Name:

L2(8)

Group order:

504 = 2³ ⋅ 3² ⋅ 7

Number of classes:

9

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	56	9	23:7	2^3:7
2	18	28	D18	D18
3	14	36	D14	D14

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
7	dec. matrix (PDF)

Atlas representations:

29 available

Group constructions in GAP:

AtlasGroup( "L2(8)" ), POmega( 3, 8 ), PSL( 2, 8 ), PSU( 2, 8 ), PSp( 2, 8 ), PerfectGroup( 504, 1 ), PrimitiveGroup( 9, 8 ), PrimitiveGroup( 28, 2 ), PrimitiveGroup( 36, 1 ), SmallGroup( 504, 156 ), TransitiveGroup( 9, 27 ), TransitiveGroup( 28, 70 )

Stored class fusions from this table:

L₂(8).3

Stored class fusions to this table:

2³:7, D₁₄, D₁₈, P41/G1/L1/V1/ext2, P41/G1/L1/V1/ext3, P41/G1/L1/V2/ext2, P41/G1/L1/V3/ext3, P41/G1/L1/V4/ext2, P41/G1/L1/V4/ext3, P41/G2/L1/V1/ext2, P41/G2/L1/V1/ext3

File created automatically by GAP on 6-May-2025.