Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for G2(3)M6

Name:

G2(3)M6

Group order:

11232 = 2⁵ ⋅ 3³ ⋅ 13

Number of classes:

15

InfoText value:

6th maximal subgroup of G2(3), differs from G2(3)M5 only by fusion map

Main table:

L₃(3).2

Group constructions in GAP:

AtlasGroup( "L3(3).2" ), AtlasStabilizer( "2F4(2)'", "TF42G1-p1600B0" ), AtlasStabilizer( "2F4(2)'", "TF42G1-p1600bB0" ), AtlasSubgroup( "2F4(2)'", 1 ), AtlasSubgroup( "2F4(2)'", 2 ), AtlasSubgroup( "G2(3)", 5 ), AtlasSubgroup( "G2(3)", 6 ), AtlasSubgroup( "S6(3)", 8 ), AtlasSubgroup( "Suz", 14 ), AtlasSubgroup( "Suz", 15 ), AutomorphismGroup( AtlasGroup( "L3(3)" ) ), PrimitiveGroup( 52, 1 ), PrimitiveGroup( 117, 1 ), PrimitiveGroup( 144, 2 ), PrimitiveGroup( 234, 2 ), TransitiveGroup( 26, 49 )

Stored class fusions from this table:

G₂(3)

Stored class fusions to this table:

3 × L₃(3).2

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