Finite Group Databasebeta

← Group #268243

Character table — Group #268243

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-11-1-11-111-11-1-1-11-111111111-1-1-1-1-1-1
χ611111111111111111-1-11-1-11-111-11-1-1-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-11-1-11-1-1-11-11-11-111111-1-1-1-11111-1-1
χ811111111111111111-1-11-1-11-1-1-11-11-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-111-111-1-11-1-1-1-1-111111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-111-1-11-1-1-1-1-1111-1-111-1-111-1-111-11
χ11111111111-1-111111-111-111-1-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ12111111111-1-111111-111-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-1-1-1-111-11-111-11-111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-1-1-111-11-111-11-1-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-1-1-11-11-11-111-1111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-1-1-1-11-11-11-111-11-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2-200-200200020-2020-200000000000000
χ1822222222222-2-2-22-2-200-2002000-2020-20200000000000000
χ19222222222-2-2-2-2-22-2200200-200020-20-20200000000000000
χ20222222222-2-2-2-2-22-2200200-2000-202020-200000000000000
χ2122222222-2222-2-2-22-200200-20220-2000-2000000000000000
χ2222222222-2222-2-2-22-200200-20-2-2020002000000000000000
χ2322222222-222-222-2-2222-2-2-2-2-200000200000000000000000
χ2422222222-222-222-2-22-2-2-222-2200000-200000000000000000
χ2522222222-2-2-22-2-2-22200-200202-202000-2000000000000000
χ2622222222-2-2-22-2-2-22200-20020-220-20002000000000000000
χ2722222222-2-2-2-222-2-2-2222-2-22200000-200000000000000000
χ2822222222-2-2-2-222-2-2-2-2-22222-200000200000000000000000
χ2922-2-2-2-22220022-2-2-202-202-20000000000000002i−2i002i−2i0000
χ3022-2-2-2-22220022-2-2-202-202-2000000000000000−2i2i00−2i2i0000
χ3122-2-2-2-22220022-2-2-20-220-220000000000000002i−2i00−2i2i0000
χ3222-2-2-2-22220022-2-2-20-220-22000000000000000−2i2i002i−2i0000
χ3322-2-2-2-222-200-22-22202-20-22000000000000000002-2002-200
χ3422-2-2-2-222-200-22-22202-20-2200000000000000000-2200-2200
χ3522-2-2-2-222-200-22-2220-2202-2000000000000000002-200-2200
χ3622-2-2-2-222-200-22-2220-2202-200000000000000000-22002-200
χ3744-4-4-4-444400-4-44-440000000000000000000000000000000
χ3844-4-4-4-444-4004-444-40000000000000000000000000000000
χ394-444-4-44-404-400000000000000000000002i−2i2i−2i0000000000
χ404-444-4-44-404-40000000000000000000000−2i2i−2i2i0000000000
χ414-444-4-44-40-4400000000000000000000002i−2i−2i2i0000000000
χ424-444-4-44-40-440000000000000000000000−2i2i2i−2i0000000000
χ43888-88-8-8-8000000000000000000000000000000000000000
χ4488-88-88-8-8000000000000000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).