Finite Group Databasebeta

← Group #340599

Character table — Group #340599

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-111-111
χ172222222222-22-2-2-22-2-2222200000022-2-2-2-20000000000-2-20000000002000000000
χ182222222222-22-2-2-22-2-22222000000-2-222220000000000-2-2000000000-2000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000002222-2-2000000000022000000000-2000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000-2-2-2-2220000000000220000000002000000000
χ2122222222-2-22-2222-2-2-2000022222200000022-2-2-2-200000000000000-20000000000
χ2222222222-2-22-2222-2-2-200002222-2-2000000-2-222-2-20000000000000020000000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-222000000-2-2222200000000000000-20000000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-2-2-200000022-2-2220000000000000020000000000
χ2522-222-2-2-22-20-20002002i2i−2i−2i22−2−200002-22i−2i00002−2i2i2−i2−i2000000i2i2−i2−i200002−200000
χ2622-222-2-2-22-20-20002002i2i−2i−2i22−2−20000-22−2i2i00002−2−i2−i2i2i2000000i2i2−i2−i20000−2200000
χ2722-222-2-2-22-20-20002002i2i−2i−2i−2−22200002-22i−2i0000−22−i2−i2i2i2000000−i2−i2i2i20000−2200000
χ2822-222-2-2-22-20-20002002i2i−2i−2i−2−2220000-22−2i2i0000−22i2i2−i2−i2000000−i2−i2i2i200002−200000
χ2922-222-2-2-22-20-2000200−2i−2i2i2i22−2−200002-2−2i2i00002−2−i2−i2i2i2000000−i2−i2i2i200002−200000
χ3022-222-2-2-22-20-2000200−2i−2i2i2i22−2−20000-222i−2i00002−2i2i2−i2−i2000000−i2−i2i2i20000−2200000
χ3122-222-2-2-22-20-2000200−2i−2i2i2i−2−22200002-2−2i2i0000−22i2i2−i2−i2000000i2i2−i2−i20000−2200000
χ3222-222-2-2-22-20-2000200−2i−2i2i2i−2−2220000-222i−2i0000−22−i2−i2i2i2000000i2i2−i2−i200002−200000
χ3322-2-2-2-22222-2-22-22-2-2200000000000000000000002i−2i2i−2i002i2i−2i−2i0000002-20000000
χ3422-2-2-2-22222-2-22-22-2-2200000000000000000000002i−2i2i−2i00−2i−2i2i2i000000-220000000
χ3522-2-2-2-22222-2-22-22-2-220000000000000000000000−2i2i−2i2i002i2i−2i−2i000000-220000000
χ3622-2-2-2-22222-2-22-22-2-220000000000000000000000−2i2i−2i2i00−2i−2i2i2i0000002-20000000
χ372-2-22-222-200202-2-20002−22−22i−2i2i−2i2i−2i0000002-2000000002−22−22−2i2−i2i2−i2000000i2−i2000
χ382-2-22-222-200202-2-20002−22−22i−2i2i−2i−2i2i000000-22000000002−2−22−22i2−i2i2−i2000000−i2i2000
χ392-2-22-222-200202-2-20002−22−2−2i2i−2i2i2i−2i000000-22000000002−2−22−22−i2i2−i2i2000000i2−i2000
χ402-2-22-222-200202-2-20002−22−2−2i2i−2i2i−2i2i0000002-2000000002−22−22−2−i2i2−i2i2000000−i2i2000
χ412-2-22-222-200202-2-2000−22−222i−2i2i−2i2i−2i0000002-200000000−22−22−22−i2i2−i2i2000000−i2i2000
χ422-2-22-222-200202-2-2000−22−222i−2i2i−2i−2i2i000000-2200000000−222−22−2−i2i2−i2i2000000i2−i2000
χ432-2-22-222-200202-2-2000−22−22−2i2i−2i2i2i−2i000000-2200000000−222−22−2i2−i2i2−i2000000−i2i2000
χ442-2-22-222-200202-2-2000−22−22−2i2i−2i2i−2i2i0000002-200000000−22−22−22i2−i2i2−i2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-44-404000-400000000000000000000000022−22−2222000000000000000000000
χ47444-4-44-4-44-404000-4000000000000000000000000−222222−22000000000000000000000
χ48444-4-44-4-4-440-400040000000000004i−4i00000000000000000000000000000000000
χ49444-4-44-4-4-440-40004000000000000−4i4i00000000000000000000000000000000000
χ5044-444-4-4-4-4404000-40000002222−22−22000000000000−22220000000000000000000000000
χ5144-444-4-4-4-4404000-4000000−22−22222200000000000022−220000000000000000000000000
χ5244-4-4-4-444444-4-44-4-44-400000000000000000000000000000000000000000000000
χ5344-4-4-4-444-4-444-44-44-4400000000000000000000000000000000000000000000000
χ5444-4-4-4-444-4-4-444-4444-400000000000000000000000000000000000000000000000
χ554-444-4-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ564-444-4-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ574-444-4-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ584-444-4-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ594-44-44-44-40040-4-440000000000000000000004i−4i000000000000000000000000000
χ604-44-44-44-40040-4-44000000000000000000000−4i4i000000000000000000000000000
χ614-44-44-44-400-4044-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-44-44-44-400-4044-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-444-400-40-44400022−2222−220000000000000000000000−22220000000000000000000
χ644-4-44-444-400-40-444000−2222−2222000000000000000000000022−220000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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