Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(16).2

Name:

L2(16).2

Group order:

8160 = 2⁵ ⋅ 3 ⋅ 5 ⋅ 17

Number of classes:

16

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17]

Duplicates:

S4(4)M4

Some maximal subgroups:

	Order	Index	Structure	Name
1	4080	2	L2(16)	L2(16)
5	60	136	D6 × D10	D6xD10

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	60	136	D6 × D10	D6xD10

Available Brauer tables:

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

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "L2(16).2" ), AtlasStabilizer( "J3", "J3G1-p6156B0" ), AtlasStabilizer( "O8-(2)", "O8m2G1-p24192B0" ), AtlasStabilizer( "S4(4)", "S44G1-p120bB0" ), AtlasSubgroup( "J3", 1 ), AtlasSubgroup( "S4(4)", 3 ), AtlasSubgroup( "S4(4)", 4 ), PrimitiveGroup( 17, 7 ), PrimitiveGroup( 68, 2 ), PrimitiveGroup( 120, 4 ), PrimitiveGroup( 136, 4 ), TransitiveGroup( 17, 7 )

Stored class fusions from this table:

J₃, L₂(16).4, O₈⁻(2), S₄(4)

Stored class fusions to this table:

2 × A₅, D₆ × D₁₀, L₂(16)

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