Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₄(3).2₂

Name:

U4(3).2_2

Group order:

6531840 = 2⁸ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

34

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: PSU(4,3) extended by transpose-inverse

Duplicates:

U4(3).2_2', U6(2)M5, U6(2)M6

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	40	163296	2 × 5:4	2x5:4
7	42	155520	7:6	7:6

Available Brauer tables:

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

Group constructions in GAP:

AtlasStabilizer( "U6(2)", "U62G1-p1408aB0" ), AtlasStabilizer( "U6(2)", "U62G1-p1408bB0" ), AtlasStabilizer( "U6(2)", "U62G1-p1408cB0" ), AtlasSubgroup( "U6(2)", 4 ), AtlasSubgroup( "U6(2)", 5 ), AtlasSubgroup( "U6(2)", 6 ), PrimitiveGroup( 112, 2 ), PrimitiveGroup( 126, 8 ), PrimitiveGroup( 126, 9 ), PrimitiveGroup( 280, 14 ), PrimitiveGroup( 540, 4 ), PrimitiveGroup( 567, 2 ), PrimitiveGroup( 567, 3 ), PrimitiveGroup( 1296, 133 ), PrimitiveGroup( 2835, 4 )

Stored class fusions from this table:

Fi₂₂, U₄(3).(2²)₁₂₂, U₄(3).D₈, U₆(2)

Stored class fusions to this table:

2.U₄(3).2₂, 2⁵:A₆, 2 × 2.U₄(3).2₂, 2 × 3₁.U₄(3).2₂, 2 × 5:4, 2 × 6₁.U₄(3).2₂, 3⁴:3²:D₈, 3⁴:S₆, 3₁.U₄(3).2₂, 4.U₄(3).2₂, 6₁.U₄(3).2₂, 7:6, 12₁.U₄(3).2₂, Isoclinic(6₁.U₄(3).2₂), 2⁴:S₆, U₄(3)

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