Finite Group Databasebeta

← Group #333673

Character table — Group #333673

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888824448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-111111-11
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-111
χ17222222222-222-2-2-22-2-22222000000220000-2-222-2-200000000000000-20000000000
χ18222222222-222-2-2-22-2-22222000000-2-2000022-2-2-2-20000000000000020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-2000000220000-2-2-2-2220000000000000020000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000000-2-2000022222200000000000000-20000000000
χ2122222222-22-2-2222-2-2-2000022222200-2-222000000-2-20000000000000-2000000000
χ2222222222-22-2-2222-2-2-200002222-2-20022-2-2000000-2-200000000000002000000000
χ2322222222-22-2-2222-2-2-20000-2-2-2-2220022-2-2000000220000000000000-2000000000
χ2422222222-22-2-2222-2-2-20000-2-2-2-2-2-200-2-2220000002200000000000002000000000
χ2522-2-2-2-2220-200-22200022−2−222-2-22-200002-200002−200000022−2−222−2−20000002−2000
χ2622-2-2-2-2220-200-22200022−2−222-2-2-220000-2200002−2000000−2−22222−2−2000000−22000
χ2722-2-2-2-2220-200-22200022−2−2-2-2222-20000-2200002−2000000−2−222−2−2220000002−2000
χ2822-2-2-2-2220-200-22200022−2−2-2-222-2200002-200002−200000022−2−2−2−222000000−22000
χ2922-2-2-2-2220-200-222000−2−22222-2-22-200002-20000−22000000−2−222−2−222000000−22000
χ3022-2-2-2-2220-200-222000−2−22222-2-2-220000-220000−2200000022−2−2−2−2220000002−2000
χ3122-2-2-2-2220-200-222000−2−222-2-2222-20000-220000−2200000022−2−222−2−2000000−22000
χ3222-2-2-2-2220-200-222000−2−222-2-222-2200002-20000−22000000−2−22222−2−20000002−2000
χ332-2-22-22-222-2-2-22-222-2200000000000000000000000022-2-22-22-20000002-20000000
χ342-2-22-22-222-2-2-22-222-2200000000000000000000000022-2-2-22-22000000-220000000
χ352-2-22-22-222-2-2-22-222-22000000000000000000000000-2-2222-22-2000000-220000000
χ362-2-22-22-222-2-2-22-222-22000000000000000000000000-2-222-22-220000002-20000000
χ372-2-2-2222-2202-2000-2002i−2i2i−2i2−22−2002-20000002i−2i002−22−22−20000i2−i2i2−i20000i2−i200000
χ382-2-2-2222-2202-2000-2002i−2i2i−2i2−22−200-22000000−2i2i002−2−22−220000i2−i2i2−i20000−i2i200000
χ392-2-2-2222-2202-2000-2002i−2i2i−2i−22−22002-20000002i−2i00−22−22−220000−i2i2−i2i20000−i2i200000
χ402-2-2-2222-2202-2000-2002i−2i2i−2i−22−2200-22000000−2i2i00−222−22−20000−i2i2−i2i20000i2−i200000
χ412-2-2-2222-2202-2000-200−2i2i−2i2i2−22−2002-2000000−2i2i002−22−22−20000−i2i2−i2i20000−i2i200000
χ422-2-2-2222-2202-2000-200−2i2i−2i2i2−22−200-220000002i−2i002−2−22−220000−i2i2−i2i20000i2−i200000
χ432-2-2-2222-2202-2000-200−2i2i−2i2i−22−22002-2000000−2i2i00−22−22−220000i2−i2i2−i20000i2−i200000
χ442-2-2-2222-2202-2000-200−2i2i−2i2i−22−2200-220000002i−2i00−222−22−20000i2−i2i2−i20000−i2i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-440-44000-40000000000000000000000000022−22−22220000000000000000000
χ47444-4-44-4-440-44000-400000000000000000000000000−222222−220000000000000000000
χ48444-4-44-4-4-404-400040000000000000000004i−4i00000000000000000000000000000
χ49444-4-44-4-4-404-40004000000000000000000−4i4i00000000000000000000000000000
χ5044-4-4-4-44404004-4-40002222−22−220000000000000000−22220000000000000000000000000
χ5144-4-4-4-44404004-4-4000−22−222222000000000000000022−220000000000000000000000000
χ524-444-4-44-400000000002i2−2i2−2i22i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ534-444-4-44-400000000002i2−2i2−2i22i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ544-444-4-44-40000000000−2i22i22i2−2i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ554-444-4-44-40000000000−2i22i22i2−2i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ564-44-44-4-440400-4-44000000000000000000000000000000022−22−2222000000000000000
χ574-44-44-4-440400-4-440000000000000000000000000000000−222222−22000000000000000
χ584-44-44-4-440-40044-40000000000000004-4000000000000000000000000000000000
χ594-44-44-4-440-40044-4000000000000000-44000000000000000000000000000000000
χ604-4-44-44-4444-4-4-44-444-400000000000000000000000000000000000000000000000
χ614-4-44-44-44-4444-44-4-4-4400000000000000000000000000000000000000000000000
χ624-4-44-44-44-4-4444-44-44-400000000000000000000000000000000000000000000000
χ634-4-4-4444-4-40-44000400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-4444-4-40-440004000000−2222−22220000000000000022−2200000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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