Finite Group Databasebeta

← Group #335800

Character table — Group #335800

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
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
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1
χ17222222222-2-22-222-2-2-222220000220022-2-2000000-2-20000000000000-2000000000
χ18222222222-2-22-222-2-2-222220000-2-200-2-222000000-2-200000000000002000000000
χ19222222222-2-22-222-2-2-2-2-2-2-200002200-2-2-2-20000002200000000000002000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-2002222000000220000000000000-2000000000
χ2122222222-222-22-2-22-2-20000222200220000-2-222-2-200000000000000-20000000000
χ2222222222-222-22-2-22-2-20000222200-2-2000022-2-2-2-20000000000000020000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-200220000-2-2-2-2220000000000000020000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-200-2-2000022222200000000000000-20000000000
χ2522-22-22-2-2-200-20220002i2i−2i−2i22−2−22-2002i−2i0000002−200000022−2−2i2i2−i2−i2000000i2−i2000
χ2622-22-22-2-2-200-20220002i2i−2i−2i22−2−2-2200−2i2i0000002−2000000−2−222i2i2−i2−i2000000−i2i2000
χ2722-22-22-2-2-200-20220002i2i−2i−2i−2−2222-2002i−2i000000−22000000−2−222−i2−i2i2i2000000−i2i2000
χ2822-22-22-2-2-200-20220002i2i−2i−2i−2−222-2200−2i2i000000−2200000022−2−2−i2−i2i2i2000000i2−i2000
χ2922-22-22-2-2-200-2022000−2i−2i2i2i22−2−22-200−2i2i0000002−200000022−2−2−i2−i2i2i2000000−i2i2000
χ3022-22-22-2-2-200-2022000−2i−2i2i2i22−2−2-22002i−2i0000002−2000000−2−222−i2−i2i2i2000000i2−i2000
χ3122-22-22-2-2-200-2022000−2i−2i2i2i−2−2222-200−2i2i000000−22000000−2−222i2i2−i2−i2000000i2−i2000
χ3222-22-22-2-2-200-2022000−2i−2i2i2i−2−222-22002i−2i000000−2200000022−2−2i2i2−i2−i2000000−i2i2000
χ332-2-222-2-22-2222-2-22-2-2200000000000000000000000022-2-22i−2i2i−2i0000002i−2i0000000
χ342-2-222-2-22-2222-2-22-2-2200000000000000000000000022-2-2−2i2i−2i2i000000−2i2i0000000
χ352-2-222-2-22-2222-2-22-2-22000000000000000000000000-2-2222i−2i2i−2i000000−2i2i0000000
χ362-2-222-2-22-2222-2-22-2-22000000000000000000000000-2-222−2i2i−2i2i0000002i−2i0000000
χ372-2-2-2-222202-20200-2002−22−22i−2i2i−2i002i−2i0000002-2002−2i2−i2i2−i20000i2−i2i2−i200002−200000
χ382-2-2-2-222202-20200-2002−22−22i−2i2i−2i00−2i2i000000-22002−2−i2i2−i2i20000i2−i2i2−i20000−2200000
χ392-2-2-2-222202-20200-2002−22−2−2i2i−2i2i002i−2i000000-22002−2i2−i2i2−i20000−i2i2−i2i20000−2200000
χ402-2-2-2-222202-20200-2002−22−2−2i2i−2i2i00−2i2i0000002-2002−2−i2i2−i2i20000−i2i2−i2i200002−200000
χ412-2-2-2-222202-20200-200−22−222i−2i2i−2i002i−2i0000002-200−22−i2i2−i2i20000−i2i2−i2i20000−2200000
χ422-2-2-2-222202-20200-200−22−222i−2i2i−2i00−2i2i000000-2200−22i2−i2i2−i20000−i2i2−i2i200002−200000
χ432-2-2-2-222202-20200-200−22−22−2i2i−2i2i002i−2i000000-2200−22−i2i2−i2i20000i2−i2i2−i200002−200000
χ442-2-2-2-222202-20200-200−22−22−2i2i−2i2i00−2i2i0000002-200−22i2−i2i2−i20000i2−i2i2−i20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-4404-40-4004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ47444-4-4-4-4404-40-400400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ48444-4-4-4-440-440400-40000000000000000004-400000000000000000000000000000
χ49444-4-4-4-440-440400-4000000000000000000-4400000000000000000000000000000
χ5044-44-44-4-440040-4-400000002222−22−22000000000000−22220000000000000000000000000
χ5144-44-44-4-440040-4-40000000−22−22222200000000000022−220000000000000000000000000
χ524-444-4-44-4400-40-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ534-444-4-44-4400-40-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ544-444-4-44-4-400404-4000000000000000004i−4i0000000000000000000000000000000
χ554-444-4-44-4-400404-400000000000000000−4i4i0000000000000000000000000000000
χ564-44-444-4-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ574-44-444-4-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ584-44-444-4-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ594-44-444-4-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ604-4-444-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ614-4-444-4-444-4-4-444-44-4400000000000000000000000000000000000000000000000
χ624-4-444-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ634-4-4-4-44440-440-40040022−2222−22000000000000000000−222200000000000000000000000
χ644-4-4-4-44440-440-400400−2222−222200000000000000000022−2200000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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