Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O8+(3)M12

Name:

O8+(3)M12

Group order:

174182400 = 2¹² ⋅ 3⁵ ⋅ 5² ⋅ 7

Number of classes:

53

InfoText value:

12th maximal subgroup of O8+(3), differs from O8+(2) only by fusion map

Main table:

O₈⁺(2)

Group constructions in GAP:

AtlasGroup( "O8+(2)" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p28431aB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p28431bB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p28431cB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p28431dB0" ), AtlasSubgroup( "O8+(3)", 10 ), AtlasSubgroup( "O8+(3)", 11 ), AtlasSubgroup( "O8+(3)", 12 ), AtlasSubgroup( "O8+(3)", 13 ), POmega( 1, 8, 2 ), PrimitiveGroup( 120, 16 ), PrimitiveGroup( 135, 2 ), PrimitiveGroup( 960, 7 ), PrimitiveGroup( 1120, 1 ), PrimitiveGroup( 1575, 1 )

Stored class fusions from this table:

O₈⁺(3)

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