Finite Group Databasebeta

← Group #335124

Character table — Group #335124

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ17222222222-2-222-2-22-2-2000022220000220022-2-200-2-2000000000000000-20000000
χ18222222222-2-222-2-22-2-2000022220000-2-200-2-22200-2-200000000000000020000000
χ19222222222-2-222-2-22-2-20000-2-2-2-200002200-2-2-2-2002200000000000000020000000
χ20222222222-2-222-2-22-2-20000-2-2-2-20000-2-20022220022000000000000000-20000000
χ2122222222-222-2-222-2-2-22222000022-2-200-2-20000-2-20000000000000000200000000
χ2222222222-222-2-222-2-2-222220000-2-22200220000-2-20000000000000000-200000000
χ2322222222-222-2-222-2-2-2-2-2-2-2000022-2-200220000220000000000000000-200000000
χ2422222222-222-2-222-2-2-2-2-2-2-20000-2-22200-2-20000220000000000000000200000000
χ2522-2-2-2-2222002-200-20022−2−222-2-200002i−2i002i−2i002−200i2i2−i2−i2000022−2−20000i2−i200000
χ2622-2-2-2-2222002-200-20022−2−222-2-20000−2i2i00−2i2i002−200−i2−i2i2i2000022−2−20000−i2i200000
χ2722-2-2-2-2222002-200-20022−2−2-2-22200002i−2i00−2i2i002−200i2i2−i2−i20000−2−2220000−i2i200000
χ2822-2-2-2-2222002-200-20022−2−2-2-2220000−2i2i002i−2i002−200−i2−i2i2i20000−2−2220000i2−i200000
χ2922-2-2-2-2222002-200-200−2−22222-2-200002i−2i002i−2i00−2200−i2−i2i2i20000−2−2220000−i2i200000
χ3022-2-2-2-2222002-200-200−2−22222-2-20000−2i2i00−2i2i00−2200i2i2−i2−i20000−2−2220000i2−i200000
χ3122-2-2-2-2222002-200-200−2−222-2-22200002i−2i00−2i2i00−2200−i2−i2i2i2000022−2−20000i2−i200000
χ3222-2-2-2-2222002-200-200−2−222-2-2220000−2i2i002i−2i00−2200i2i2−i2−i2000022−2−20000−i2i200000
χ332-2-222-22-202-2002-20002i−2i2i−2ii2−i2i2−i2002-2002i−2i000000i2−i20000i2i2−i2−i22−22−20000002−2000
χ342-2-222-22-202-2002-20002i−2i2i−2ii2−i2i2−i200-2200−2i2i000000i2−i20000−i2−i2i2i22−22−2000000−22000
χ352-2-222-22-202-2002-20002i−2i2i−2i−i2i2−i2i2002-2002i−2i000000−i2i20000−i2−i2i2i2−22−22000000−22000
χ362-2-222-22-202-2002-20002i−2i2i−2i−i2i2−i2i200-2200−2i2i000000−i2i20000i2i2−i2−i2−22−220000002−2000
χ372-2-222-22-202-2002-2000−2i2i−2i2ii2−i2i2−i2002-200−2i2i000000i2−i20000i2i2−i2−i2−22−22000000−22000
χ382-2-222-22-202-2002-2000−2i2i−2i2ii2−i2i2−i200-22002i−2i000000i2−i20000−i2−i2i2i2−22−220000002−2000
χ392-2-222-22-202-2002-2000−2i2i−2i2i−i2i2−i2i2002-200−2i2i000000−i2i20000−i2−i2i2i22−22−20000002−2000
χ402-2-222-22-202-2002-2000−2i2i−2i2i−i2i2−i2i200-22002i−2i000000−i2i20000i2i2−i2−i22−22−2000000−22000
χ412-2-22-22-22-22222-2-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00002-2000000000
χ422-2-22-22-22-22222-2-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i0000-22000000000
χ432-2-22-22-22-22222-2-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000-22000000000
χ442-2-22-22-22-22222-2-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-404-400-44000000000000000000000000000000022−22−2222000000000000000
χ474444-4-4-4-404-400-440000000000000000000000000000000−222222−22000000000000000
χ484444-4-4-4-40-44004-4000000000004-40000000000000000000000000000000000000
χ494444-4-4-4-40-44004-400000000000-440000000000000000000000000000000000000
χ5044-4-4-4-444-400-44004002222−22−220000000000000000−22220000000000000000000000000
χ5144-4-4-4-444-400-4400400−22−222222000000000000000022−220000000000000000000000000
χ524-44-44-4-44400-4400-4000000000000000000004i−4i000000000000000000000000000
χ534-44-44-4-44400-4400-400000000000000000000−4i4i000000000000000000000000000
χ544-44-44-4-44-4004-40040000000000000000000000000022−22−22220000000000000000000
χ554-44-44-4-44-4004-400400000000000000000000000000−222222−220000000000000000000
χ564-44-4-444-400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ574-44-4-444-400000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ584-44-4-444-40000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ594-44-4-444-40000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ604-4-444-44-40-4400-4400000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ614-4-444-44-40-4400-440000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ624-4-44-44-44444-4-4-4-44-4400000000000000000000000000000000000000000000000
χ634-4-44-44-444-4-4-4-44444-400000000000000000000000000000000000000000000000
χ644-4-44-44-44-4-4-44444-4-4400000000000000000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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