Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(25).2₂

Name:

L2(25).2_2

Group order:

15600 = 2⁴ ⋅ 3 ⋅ 5² ⋅ 13

Number of classes:

18

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13], constructions: PSigmaL(2,25)

Available Brauer tables:

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

Group constructions in GAP:

AtlasStabilizer( "S4(5)", "S45G1-p300B0" ), AtlasSubgroup( "S4(5)", 3 ), AtlasSubgroup( "Suz.2", 15 ), PSigmaL( 2, 25 ), PrimitiveGroup( 26, 3 ), PrimitiveGroup( 65, 2 ), PrimitiveGroup( 300, 2 ), PrimitiveGroup( 325, 8 ), TransitiveGroup( 26, 57 )

Stored class fusions from this table:

L₂(25).2², S₄(5), S₁₂(2), Suz.2

Stored class fusions to this table:

2.L₂(25).2₂, 2 × S₅, 5²:(4 × S₃), 13:4, (3 × L₂(25)).2₂, L₂(25)

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