Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for G2(3)M2

Name:

G2(3)M2

Group order:

12096 = 2⁶ ⋅ 3³ ⋅ 7

Number of classes:

16

InfoText value:

2nd maximal subgroup of G2(3), differs from G2(3)M1 only by fusion map

Main table:

U₃(3).2

Group constructions in GAP:

AtlasGroup( "U3(3).2" ), AtlasStabilizer( "G2(4)", "G24G1-p20800B0" ), AtlasStabilizer( "J2.2", "J2d2G1-p100B0" ), AtlasStabilizer( "S6(2)", "S62G1-p120B0" ), AtlasSubgroup( "3D4(2)", 3 ), AtlasSubgroup( "G2(3)", 1 ), AtlasSubgroup( "G2(3)", 2 ), AtlasSubgroup( "G2(4)", 6 ), AtlasSubgroup( "G2(5)", 6 ), AtlasSubgroup( "J2.2", 2 ), AtlasSubgroup( "S6(2)", 4 ), AutomorphismGroup( AtlasGroup( "U3(3)" ) ), PrimitiveGroup( 28, 5 ), PrimitiveGroup( 36, 7 ), PrimitiveGroup( 63, 2 ), PrimitiveGroup( 63, 4 ), TransitiveGroup( 28, 393 )

Stored class fusions from this table:

G₂(3)

Stored class fusions to this table:

3 × U₃(3).2

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