Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U6(2)M6

Name:

U6(2)M6

Group order:

6531840 = 2⁸ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

34

InfoText value:

6th maximal subgroup of U6(2), differs from U6(2)M4 = U4(3).2_2 only by fusion map

Main table:

U₄(3).2₂

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:

U₆(2)

Stored class fusions to this table:

2.U₄(3).2₂, 2 × 2.U₄(3).2₂, 3₁.U₄(3).2₂, 6₁.U₄(3).2₂, 2 × 6₁.U₄(3).2₂

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