Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O₇(3)

Name:

Fi22M3

Group order:

4585351680 = 2⁹ ⋅ 3⁹ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

58

InfoText value:

3rd maximal subgroup of Fi22, differs from Fi22M2 only by fusion map

Main table:

O₇(3)

Group constructions in GAP:

AtlasGroup( "O7(3)" ), AtlasStabilizer( "Fi22", "F22G1-p14080aB0" ), AtlasStabilizer( "Fi22", "F22G1-p14080bB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080aB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080bB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080cB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080dB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080eB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1080fB0" ), AtlasSubgroup( "Fi22", 2 ), AtlasSubgroup( "Fi22", 3 ), AtlasSubgroup( "O7(3).2", 1 ), AtlasSubgroup( "O8+(3)", 1 ), AtlasSubgroup( "O8+(3)", 2 ), POmega( 7, 3 ), PrimitiveGroup( 351, 5 ), PrimitiveGroup( 364, 3 ), PrimitiveGroup( 378, 5 ), PrimitiveGroup( 1080, 4 ), PrimitiveGroup( 1120, 4 ), PrimitiveGroup( 3159, 3 ), PrimitiveGroup( 3640, 2 )

Stored class fusions from this table:

Fi₂₂

Stored class fusions to this table:

3^(3+3)b:L₃(3)

File created automatically by GAP on 13-Mar-2024.