Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₆(2).2

Name:

U6(2).2

Group order:

18393661440 = 2¹⁶ ⋅ 3⁶ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

65

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Some maximal subgroups:

	Order	Index	Structure	Name
1	9196830720	2	U6(2)	U6(2)
2	27371520	672	U5(2).2	U5(2).2
8	887040	20736	M22.2	M22.2

Available Brauer tables:

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

Atlas representations:

19 available

Group constructions in GAP:

AtlasGroup( "U6(2).2" ), AtlasStabilizer( "Co2", "Co2G1-p2300B0" ), AtlasSubgroup( "Co2", 1 ), PrimitiveGroup( 672, 2 ), PrimitiveGroup( 693, 2 ), PrimitiveGroup( 891, 2 ), PrimitiveGroup( 1408, 4 )

Stored class fusions from this table:

Co₂, U₆(2).3.2

Stored class fusions to this table:

2.U₆(2).2, 2².U₆(2).2, 2 × S₆(2), 3.U₆(2).2, 6.U₆(2).2, (2² × 3).U₆(2).2, Isoclinic(2.U₆(2).2), L₃(4).2², M₂₂.2, U₄(3).(2²)₁₂₂, U₅(2).2, U₆(2)

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