Finite Group Databasebeta

← Group #508753

Character table — Group #508753

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444888888888888444444884444888816161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-11111-1-1-1-111-1-1-11-11-1-1111111-1-1-1-1-11-11
χ811111111111111-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-1-1-1-111111-11-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-11-11-1-1-11111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-111-1-1-1-11-11-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-111111111-1-111-1-1-1-1-11-1111-1-111-1-111-1-1-1-111
χ121111111111-1-1-1-111111111-1-111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ212222-2-222-2-22i2i−2i−2i000022-2-200002i−2i00020-2002i−2i000000000000
χ222222-2-222-2-22i2i−2i−2i000022-2-200002i−2i000-20200−2i2i000000000000
χ232222-2-222-2-22i2i−2i−2i0000-2-2220000−2i2i0020-202i−2i00000000000000
χ242222-2-222-2-22i2i−2i−2i0000-2-2220000−2i2i00-2020−2i2i00000000000000
χ252222-2-222-2-2−2i−2i2i2i000022-2-20000−2i2i00020-200−2i2i000000000000
χ262222-2-222-2-2−2i−2i2i2i000022-2-20000−2i2i000-202002i−2i000000000000
χ272222-2-222-2-2−2i−2i2i2i0000-2-22200002i−2i0020-20−2i2i00000000000000
χ282222-2-222-2-2−2i−2i2i2i0000-2-22200002i−2i00-20202i−2i00000000000000
χ2922-2-22-22-22-22-22-200000000002-2002-2000000002−22−22−22−20000
χ3022-2-22-22-22-22-22-200000000002-2002-200000000−22−22−22−220000
χ3122-2-22-22-22-22-22-20000000000-2200-22000000002−22−2−22−220000
χ3222-2-22-22-22-22-22-20000000000-2200-2200000000−22−222−22−20000
χ3322-2-22-22-22-2-22-2200000000002-200-22000000002−2−222−2−220000
χ3422-2-22-22-22-2-22-2200000000002-200-2200000000−222−2−222−20000
χ3522-2-22-22-22-2-22-220000000000-22002-2000000002−2−22−222−20000
χ3622-2-22-22-22-2-22-220000000000-22002-200000000−222−22−2−220000
χ37444444-4-4-4-40000000000004-400000000000000000000000000
χ38444444-4-4-4-4000000000000-4400000000000000000000000000
χ394444-4-4-4-444000044-4-400000000000000000000000000000000
χ404444-4-4-4-4440000-4-44400000000000000000000000000000000
χ4144-4-44-4-44-44000000004-44-40000000000000000000000000000
χ4244-4-44-4-44-4400000000-44-440000000000000000000000000000
χ4344-4-4-444-4-444i−4i−4i4i000000000000000000000000000000000000
χ4444-4-4-444-4-44−4i4i4i−4i000000000000000000000000000000000000
χ4544-4-4-44-444-4000000004-4-440000000000000000000000000000
χ4644-4-4-44-444-400000000-444-40000000000000000000000000000
χ478-88-800000000000042−4200000000000000000000000000000000
χ488-88-8000000000000−424200000000000000000000000000000000
χ498-8-88000000000042−420000000000000000000000000000000000
χ508-8-880000000000−42420000000000000000000000000000000000

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