Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U₃(4).2

Name:

U3(4).2

Group order:

124800 = 2⁷ ⋅ 3 ⋅ 5² ⋅ 13

Number of classes:

20

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]

Maximal subgroups:

	Order	Index	Structure	Name
1	62400	2	U3(4)	U3(4)
2	1920	65	22+4:(3 × D10)	2^(2+4):(3xD10)
3	600	208	A5 × D10	a5xd10
4	300	416	52:D12	5^2:D12
5	78	1600	13:6	13:6

Available Brauer tables:

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

Atlas representations:

4 available

Group constructions in GAP:

AtlasGroup( "U3(4).2" ), AtlasStabilizer( "G2(4)", "G24G1-p2016B0" ), AtlasSubgroup( "G2(4)", 4 ), AtlasSubgroup( "U3(4).4", 1 ), PrimitiveGroup( 65, 4 ), PrimitiveGroup( 208, 2 ), PrimitiveGroup( 416, 2 ), PrimitiveGroup( 1600, 18 )

Stored class fusions from this table:

G₂(4), U₃(4).4

Stored class fusions to this table:

2²⁺⁴:(3 × D₁₀), 5²:D₁₂, 13:6, Isoclinic(2 × U₃(4).2), U₃(4), A₅ × D₁₀

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