Finite Group Databasebeta

← Group #335657

Character table — Group #335657

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ9111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-11
χ172222222222-22-2-2-22-2-222220000220000-2-22200000000-2-200000000-20000000000
χ182222222222-22-2-2-22-2-222220000-2-2000022-2-200000000-2-20000000020000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000220000-2-2-2-200000000220000000020000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-200002222000000002200000000-20000000000
χ2122222222-2-22-2222-2-2-2000022220022220000-2-2-2-200000000000000000-20000000
χ2222222222-2-22-2222-2-2-20000222200-2-2-2-2000022-2-20000000000000000020000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-20022-2-20000222200000000000000000-20000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-200-2-2220000-2-2220000000000000000020000000
χ2522-22-2-2-2222-2-22-22-2-22000000000000000000000022-2-2002i2i−2i−2i000002i−2i00000000
χ2622-22-2-2-2222-2-22-22-2-22000000000000000000000022-2-200−2i−2i2i2i00000−2i2i00000000
χ2722-22-2-2-2222-2-22-22-2-220000000000000000000000-2-222002i2i−2i−2i00000−2i2i00000000
χ2822-22-2-2-2222-2-22-22-2-220000000000000000000000-2-22200−2i−2i2i2i000002i−2i00000000
χ2922-2-222-2-22-20-20002002i2i−2i−2i22−2−22-20000002i−2i002−22−22−2000000i2i2−i2−i20000i2−i200000
χ3022-2-222-2-22-20-20002002i2i−2i−2i22−2−2-22000000−2i2i002−2−22−22000000i2i2−i2−i20000−i2i200000
χ3122-2-222-2-22-20-20002002i2i−2i−2i−2−2222-20000002i−2i00−22−22−22000000−i2−i2i2i20000−i2i200000
χ3222-2-222-2-22-20-20002002i2i−2i−2i−2−222-22000000−2i2i00−222−22−2000000−i2−i2i2i20000i2−i200000
χ3322-2-222-2-22-20-2000200−2i−2i2i2i22−2−22-2000000−2i2i002−22−22−2000000−i2−i2i2i20000−i2i200000
χ3422-2-222-2-22-20-2000200−2i−2i2i2i22−2−2-220000002i−2i002−2−22−22000000−i2−i2i2i20000i2−i200000
χ3522-2-222-2-22-20-2000200−2i−2i2i2i−2−2222-2000000−2i2i00−22−22−22000000i2i2−i2−i20000i2−i200000
χ3622-2-222-2-22-20-2000200−2i−2i2i2i−2−222-220000002i−2i00−222−22−2000000i2i2−i2−i20000−i2i200000
χ372-22-22-2-2200202-2-20002−22−22i−2i2i−2i002-22i−2i0000000000002−2i2−i2i2−i2i2−i2i2−i20000002−2000
χ382-22-22-2-2200202-2-20002−22−22i−2i2i−2i00-22−2i2i0000000000002−2−i2i2−i2i2i2−i2i2−i2000000−22000
χ392-22-22-2-2200202-2-20002−22−2−2i2i−2i2i002-2−2i2i0000000000002−2−i2i2−i2i2−i2i2−i2i20000002−2000
χ402-22-22-2-2200202-2-20002−22−2−2i2i−2i2i00-222i−2i0000000000002−2i2−i2i2−i2−i2i2−i2i2000000−22000
χ412-22-22-2-2200202-2-2000−22−222i−2i2i−2i002-22i−2i000000000000−22−i2i2−i2i2−i2i2−i2i2000000−22000
χ422-22-22-2-2200202-2-2000−22−222i−2i2i−2i00-22−2i2i000000000000−22i2−i2i2−i2−i2i2−i2i20000002−2000
χ432-22-22-2-2200202-2-2000−22−22−2i2i−2i2i002-2−2i2i000000000000−22i2−i2i2−i2i2−i2i2−i2000000−22000
χ442-22-22-2-2200202-2-2000−22−22−2i2i−2i2i00-222i−2i000000000000−22−i2i2−i2i2i2−i2i2−i20000002−2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-44-404000-400000000000000000000000022−22−2222000000000000000000000
χ47444-4-4-44-44-404000-4000000000000000000000000−222222−22000000000000000000000
χ48444-4-4-44-4-440-4000400000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-44-4-440-400040000000000000000−4i4i0000000000000000000000000000000
χ5044-44-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ5144-44-4-4-44-4-444-44-44-4400000000000000000000000000000000000000000000000
χ5244-44-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ5344-4-444-4-4-4404000-40000002222−22−22000000000000−22220000000000000000000000000
χ5444-4-444-4-4-4404000-4000000−22−22222200000000000022−220000000000000000000000000
χ554-44-44-4-4400-40-44400022−2222−220000000000000000000000−22220000000000000000000
χ564-44-44-4-4400-40-444000−2222−2222000000000000000000000022−220000000000000000000
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
χ614-4-4-4-44440040-4-440000000000000000000004-4000000000000000000000000000
χ624-4-4-4-44440040-4-44000000000000000000000-44000000000000000000000000000
χ634-4-4-4-444400-4044-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4-444400-4044-40000000000000000000000000000000−222222−22000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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