Finite Group Databasebeta

← Group #335801

Character table — Group #335801

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-11-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1-1-111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-11111111111-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ17222222222-2-2222-2-2-2-22222000022000022-2-200-2-200000000000000000-20000000
χ18222222222-2-2222-2-2-2-222220000-2-20000-2-22200-2-20000000000000000020000000
χ19222222222-2-2222-2-2-2-2-2-2-2-20000220000-2-2-2-200220000000000000000020000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000-2-200002222002200000000000000000-20000000
χ2122222222-222-2-2-222-2-2000022220022220000-2-200-2-2000000000000-20000000000
χ2222222222-222-2-2-222-2-20000222200-2-2-2-200002200-2-200000000000020000000000
χ2322222222-222-2-2-222-2-20000-2-2-2-20022-2-20000-2-2002200000000000020000000000
χ2422222222-222-2-2-222-2-20000-2-2-2-200-2-2220000220022000000000000-20000000000
χ2522-2-22-2-2202-20002-200i2i2−i2−i222-2-2002i−2i2i−2i000000i2−i200000022−2−2i2i2−i2−i200002−200000
χ2622-2-22-2-2202-20002-200i2i2−i2−i222-2-200−2i2i−2i2i000000i2−i2000000−2−222i2i2−i2−i20000−2200000
χ2722-2-22-2-2202-20002-200i2i2−i2−i2-2-222002i−2i−2i2i000000i2−i200000022−2−2−i2−i2i2i20000−2200000
χ2822-2-22-2-2202-20002-200i2i2−i2−i2-2-22200−2i2i2i−2i000000i2−i2000000−2−222−i2−i2i2i200002−200000
χ2922-2-22-2-2202-20002-200−i2−i2i2i222-2-2002i−2i2i−2i000000−i2i2000000−2−222−i2−i2i2i20000−2200000
χ3022-2-22-2-2202-20002-200−i2−i2i2i222-2-200−2i2i−2i2i000000−i2i200000022−2−2−i2−i2i2i200002−200000
χ3122-2-22-2-2202-20002-200−i2−i2i2i2-2-222002i−2i−2i2i000000−i2i2000000−2−222i2i2−i2−i200002−200000
χ3222-2-22-2-2202-20002-200−i2−i2i2i2-2-22200−2i2i2i−2i000000−i2i200000022−2−2i2i2−i2−i20000−2200000
χ332-222-2-2-22-2222-22-2-2-220000000000000000000000002i2i−2i−2i2-22-2000002i−2i00000000
χ342-222-2-2-22-2222-22-2-2-220000000000000000000000002i2i−2i−2i-22-2200000−2i2i00000000
χ352-222-2-2-22-2222-22-2-2-22000000000000000000000000−2i−2i2i2i2-22-200000−2i2i00000000
χ362-222-2-2-22-2222-22-2-2-22000000000000000000000000−2i−2i2i2i-22-22000002i−2i00000000
χ372-22-222-2-2-20022-200002-22-2i2−i2i2−i22-200002-2000000i2−i2i2−i2i2−i20000i2−i2i2−i2000000i2−i2000
χ382-22-222-2-2-20022-200002-22-2i2−i2i2−i2-220000-22000000i2−i2−i2i2−i2i20000i2−i2i2−i2000000−i2i2000
χ392-22-222-2-2-20022-200002-22-2−i2i2−i2i22-200002-2000000−i2i2−i2i2−i2i20000−i2i2−i2i2000000−i2i2000
χ402-22-222-2-2-20022-200002-22-2−i2i2−i2i2-220000-22000000−i2i2i2−i2i2−i20000−i2i2−i2i2000000i2−i2000
χ412-22-222-2-2-20022-20000-22-22i2−i2i2−i22-20000-22000000i2−i2i2−i2i2−i20000−i2i2−i2i2000000−i2i2000
χ422-22-222-2-2-20022-20000-22-22i2−i2i2−i2-2200002-2000000i2−i2−i2i2−i2i20000−i2i2−i2i2000000i2−i2000
χ432-22-222-2-2-20022-20000-22-22−i2i2−i2i22-20000-22000000−i2i2−i2i2−i2i20000i2−i2i2−i2000000i2−i2000
χ442-22-222-2-2-20022-20000-22-22−i2i2−i2i2-2200002-2000000−i2i2i2−i2i2−i20000i2−i2i2−i2000000−i2i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-44004-4-4000000000000000000000000000022−22−22220000000000000000000
χ47444-4-4-44-44004-4-40000000000000000000000000000−222222−220000000000000000000
χ48444-4-4-44-4-400-444000000000000000000004i−4i00000000000000000000000000000
χ49444-4-4-44-4-400-44400000000000000000000−4i4i00000000000000000000000000000
χ5044-4-44-4-440-44000-44002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5144-4-44-4-440-44000-4400−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ524-444-4-4-44444-44-4-4-44-400000000000000000000000000000000000000000000000
χ534-444-4-4-444-4-4-44-444-4400000000000000000000000000000000000000000000000
χ544-444-4-4-44-4-4-44-44444-400000000000000000000000000000000000000000000000
χ554-44-444-4-4400-4-44000000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ564-44-444-4-4400-4-4400000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ574-4-444-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ584-4-444-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ594-4-444-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ604-4-444-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ614-4-4-4-444404-4000-4400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-4-444404-4000-44000000000000000000000000000000−222222−22000000000000000
χ634-4-4-4-44440-440004-4000000000000000000004-4000000000000000000000000000
χ644-4-4-4-44440-440004-400000000000000000000-44000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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