Finite Group Databasebeta

← Group #268268

Character table — Group #268268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-11-11-11-11-1-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11-11-11-11-1-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-11-11-11-1-111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-11-11-11-1-11-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-1-11111-1-11111-1-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-11111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-11111-1-1-1-1-1-111-11111-1-1-1-111-1-1111-1
χ121111111111-1-11111-1-11111-1-1-1-1-1-111-111-1-11111-1-111-1-1-11
χ131111111111-1-11111-1-1-1-1-1-1-111-11-1-111-1111-1-111-1-1-1-111-11
χ141111111111-1-11111-1-1-1-1-1-1-111-11-1-111-11-1-111-1-11111-1-11-1
χ151111111111-1-11111-1-1-1-1-1-1-11-11-111-111-111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-1-1-11-11-111-111-1-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-22-20000-20020-20200-200000000000000
χ18222222222-222-2-22-22-20000-200-2020-200200000000000000
χ19222222222-2-2-2-2-22-2-22000020020-20-200200000000000000
χ20222222222-2-2-2-2-22-2-220000200-2020200-200000000000000
χ2122222222-2222-2-2-22-2-200002020-20200-2000000000000000
χ2222222222-2222-2-2-22-2-2000020-2020-2002000000000000000
χ2322222222-22-2-2-2-2-22220000-2020-20-2002000000000000000
χ2422222222-22-2-2-2-2-22220000-20-2020200-2000000000000000
χ2522222222-2-22222-2-2-2222-2-2-22000000-20000000000000000
χ2622222222-2-22222-2-2-22-2-222-2-200000020000000000000000
χ2722222222-2-2-2-222-2-22-222-2-22-200000020000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22222000000-20000000000000000
χ292-2-2-2-222222002-2-2-2002-22-2000000000000000002i−2i002i−2i00
χ302-2-2-2-222222002-2-2-2002-22-200000000000000000−2i2i00−2i2i00
χ312-2-2-2-222222002-2-2-200-22-22000000000000000002i−2i00−2i2i00
χ322-2-2-2-222222002-2-2-200-22-2200000000000000000−2i2i002i−2i00
χ332-2-2-2-2222-2-2002-222002-2-220000000000000002-2002-20000
χ342-2-2-2-2222-2-2002-222002-2-22000000000000000-2200-220000
χ352-2-2-2-2222-2-2002-22200-222-20000000000000002-200-220000
χ362-2-2-2-2222-2-2002-22200-222-2000000000000000-22002-20000
χ37444-4-4-4-44004i−4i0000000000000000000002-22i−2i0000000000
χ38444-4-4-4-44004i−4i000000000000000000000-22−2i2i0000000000
χ39444-4-4-4-4400−4i4i0000000000000000000002-2−2i2i0000000000
χ40444-4-4-4-4400−4i4i000000000000000000000-222i−2i0000000000
χ414-4-4-4-44444-400-44-440000000000000000000000000000000
χ424-4-4-4-4444-4400-444-40000000000000000000000000000000
χ4388-88-88-8-8000000000000000000000000000000000000000
χ4488-8-88-88-8000000000000000000000000000000000000000
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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