Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₈(2)

Name:

F4(2)M4

Group order:

47377612800 = 2¹⁶ ⋅ 3⁵ ⋅ 5² ⋅ 7 ⋅ 17

Number of classes:

81

InfoText value:

4th maximal subgroup of F4(2), differs from F4(2)M3 only by fusion map

Main table:

S₈(2)

Group constructions in GAP:

AtlasGroup( "S8(2)" ), AtlasStabilizer( "F4(2)", "F42G1-p69888aB0" ), AtlasStabilizer( "Fi23", "F23G1-p86316516B0" ), AtlasStabilizer( "O10+(2)", "O10p2G1-p496B0" ), AtlasStabilizer( "O10-(2)", "O10m2G1-p528B0" ), AtlasSubgroup( "F4(2)", 3 ), AtlasSubgroup( "Fi23", 4 ), AtlasSubgroup( "O10+(2)", 1 ), POmega( 9, 2 ), PSp( 8, 2 ), PrimitiveGroup( 120, 15 ), PrimitiveGroup( 136, 6 ), PrimitiveGroup( 255, 1 ), PrimitiveGroup( 2295, 1 )

Stored class fusions from this table:

F₄(2)

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