Finite Group Databasebeta

← Group #290914

Character table — Group #290914

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-11-1-1-1-1-1-11-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-11-1-111-111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-1-111-1111-1-1-11-11-1-1111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1111-1-1-11-11-1-11-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-111-1-111-11-11-1-111-1-1-1-111-1-1111-1
χ121111111111-1-11111-1-111-111-1-111-11-11-1-1-1-11111-1-111-1-1-11
χ131111111111-1-11111-1-1-1-1-1-1-111-111-1-111-111-1-111-1-1-1-111-11
χ141111111111-1-11111-1-1-1-1-1-1-111-111-1-111-1-1-111-1-11111-1-11-1
χ151111111111-1-11111-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2-2-200200000200-2-20200000000000000
χ18222222222-222-2-22-2-2-200200000-200220-200000000000000
χ19222222222-2-2-2-2-22-22200-2000002002-20-200000000000000
χ20222222222-2-2-2-2-22-22200-200000-200-220200000000000000
χ2122222222-2222-2-2-222-200-2002020-2-2000000000000000000
χ2222222222-2222-2-2-222-200-200-20-2022000000000000000000
χ2322222222-22-2-2-2-2-22-220020020-20-22000000000000000000
χ2422222222-22-2-2-2-2-22-2200200-20202-2000000000000000000
χ2522222222-2-22222-2-2-2222-2-2-20-20000002000000000000000
χ2622222222-2-22222-2-2-22-2-2-22202000000-2000000000000000
χ2722222222-2-2-2-222-2-22-2222-2-202000000-2000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22220-20000002000000000000000
χ2922-22-22-2-22-2002-2-22002i−2i02i−2i000000000000002i−2i002-20000
χ3022-22-22-2-22-2002-2-22002i−2i02i−2i00000000000000−2i2i00-220000
χ3122-22-22-2-22-2002-2-2200−2i2i0−2i2i000000000000002i−2i00-220000
χ3222-22-22-2-22-2002-2-2200−2i2i0−2i2i00000000000000−2i2i002-20000
χ3322-22-22-2-2-22002-22-2002i−2i0−2i2i00000000000000002-2002i−2i00
χ3422-22-22-2-2-22002-22-2002i−2i0−2i2i0000000000000000-2200−2i2i00
χ3522-22-22-2-2-22002-22-200−2i2i02i−2i00000000000000002-200−2i2i00
χ3622-22-22-2-2-22002-22-200−2i2i02i−2i0000000000000000-22002i−2i00
χ3744-44-44-4-44400-44-4-40000000000000000000000000000000
χ3844-44-44-4-4-4-400-44440000000000000000000000000000000
χ394-444-4-44-4004i−4i0000000000000000000002-22i−2i0000000000
χ404-444-4-44-4004i−4i000000000000000000000-22−2i2i0000000000
χ414-444-4-44-400−4i4i0000000000000000000002-2−2i2i0000000000
χ424-444-4-44-400−4i4i000000000000000000000-222i−2i0000000000
χ43888-88-8-8-8000000000000000000000000000000000000000
χ4488-8-8-8-888000000000000000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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