Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(5).2

Name:

L3(5).2

Group order:

744000 = 2⁶ ⋅ 3 ⋅ 5³ ⋅ 31

Number of classes:

27

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,31], constructions: Aut(L3(5))

Some maximal subgroups:

	Order	Index	Structure	Name
1	372000	2	L3(5)	L3(5)
6	186	4000	31:6	31:6

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
31	186	4000	31:6	31:6

Available Brauer tables:

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

Atlas representations:

8 available

Group constructions in GAP:

AtlasGroup( "L3(5).2" ), AtlasStabilizer( "G2(5)", "G25G1-p7875B0" ), AtlasSubgroup( "G2(5)", 4 ), AutomorphismGroup( AtlasGroup( "L3(5)" ) ), PrimitiveGroup( 186, 1 ), PrimitiveGroup( 775, 1 ), PrimitiveGroup( 3100, 2 ), PrimitiveGroup( 3875, 2 ), PrimitiveGroup( 4000, 2 )

Stored class fusions from this table:

G₂(5)

Stored class fusions to this table:

31:6, L₃(5)

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