Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₄(3).2₂

Name:

L4(3).2_2

Group order:

12130560 = 2⁸ ⋅ 3⁶ ⋅ 5 ⋅ 13

Number of classes:

49

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13], constructions: PSL(4,3) extended by transpose-inverse, PGO(+1,6,3)

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( "O7(3)", "O73G1-p378B0" ), AtlasSubgroup( "O7(3)", 3 ), PGO( 1, 6, 3 ), PrimitiveGroup( 117, 3 ), PrimitiveGroup( 130, 2 ), PrimitiveGroup( 520, 5 ), PrimitiveGroup( 1080, 2 ), PrimitiveGroup( 2106, 4 )

Stored class fusions from this table:

D₈ × L₄(3).2₂, F₄(2), L₄(3).2², O₇(3)

Stored class fusions to this table:

2.L₄(3).2₂, 3⁶:L₄(3):2₂, 3 × 2.L₄(3).2₂, Isoclinic(2.L₄(3).2₂), L₄(3)

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