Finite Group Databasebeta

← Group #340477

Character table — Group #340477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111-1-1-1-11111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111111-1
χ9111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-2000022222200-2-2-2-20000-2-20000000000000000200000000
χ18222222222-2-22-222-2-2-200002222-2-20022220000-2-20000000000000000-200000000
χ19222222222-2-22-222-2-2-20000-2-2-2-22200-2-2220000220000000000000000-200000000
χ20222222222-2-22-222-2-2-20000-2-2-2-2-2-20022-2-20000220000000000000000200000000
χ2122222222-222-22-2-22-2-22222000000220000-2-222000000-2-200000000000-20000000
χ2222222222-222-22-2-22-2-22222000000-2-2000022-2-2000000-2-20000000000020000000
χ2322222222-222-22-2-22-2-2-2-2-2-2000000220000-2-2-2-2000000220000000000020000000
χ2422222222-222-22-2-22-2-2-2-2-2-2000000-2-2000022220000002200000000000-20000000
χ2522-2-222-2-202-20-2002002i2i−2i−2i22−2−2002-20000002i−2i2−222−2−2000000i2i2−i2−i20000i2−i200000
χ2622-2-222-2-202-20-2002002i2i−2i−2i22−2−200-22000000−2i2i2−2−2−222000000i2i2−i2−i20000−i2i200000
χ2722-2-222-2-202-20-2002002i2i−2i−2i−2−222002-20000002i−2i−22−2−222000000−i2−i2i2i20000−i2i200000
χ2822-2-222-2-202-20-2002002i2i−2i−2i−2−22200-22000000−2i2i−2222−2−2000000−i2−i2i2i20000i2−i200000
χ2922-2-222-2-202-20-200200−2i−2i2i2i22−2−2002-2000000−2i2i2−222−2−2000000−i2−i2i2i20000−i2i200000
χ3022-2-222-2-202-20-200200−2i−2i2i2i22−2−200-220000002i−2i2−2−2−222000000−i2−i2i2i20000i2−i200000
χ3122-2-222-2-202-20-200200−2i−2i2i2i−2−222002-2000000−2i2i−22−2−222000000i2i2−i2−i20000i2−i200000
χ3222-2-222-2-202-20-200200−2i−2i2i2i−2−22200-220000002i−2i−2222−2−2000000i2i2−i2−i20000−i2i200000
χ332-2-222-2-2220020-2-20002−22−22i−2i2i−2i00002i−2i2-200000000002−2i2i2−i2−i2i2−i2i2−i20000002−2000
χ342-2-222-2-2220020-2-20002−22−22i−2i2i−2i0000−2i2i-2200000000002−2−i2−i2i2i2i2−i2i2−i2000000−22000
χ352-2-222-2-2220020-2-20002−22−2−2i2i−2i2i00002i−2i-2200000000002−2i2i2−i2−i2−i2i2−i2i2000000−22000
χ362-2-222-2-2220020-2-20002−22−2−2i2i−2i2i0000−2i2i2-200000000002−2−i2−i2i2i2−i2i2−i2i20000002−2000
χ372-2-222-2-2220020-2-2000−22−222i−2i2i−2i00002i−2i2-20000000000−22−i2−i2i2i2−i2i2−i2i2000000−22000
χ382-2-222-2-2220020-2-2000−22−222i−2i2i−2i0000−2i2i-220000000000−22i2i2−i2−i2−i2i2−i2i20000002−2000
χ392-2-222-2-2220020-2-2000−22−22−2i2i−2i2i00002i−2i-220000000000−22−i2−i2i2i2i2−i2i2−i20000002−2000
χ402-2-222-2-2220020-2-2000−22−22−2i2i−2i2i0000−2i2i2-20000000000−22i2i2−i2−i2i2−i2i2−i2000000−22000
χ412-2-22-222-2-2222-2-22-2-2200000000000000000000002i−2i2i−2i002i−2i2i−2i00002-2000000000
χ422-2-22-222-2-2222-2-22-2-2200000000000000000000002i−2i2i−2i00−2i2i−2i2i0000-22000000000
χ432-2-22-222-2-2222-2-22-2-220000000000000000000000−2i2i−2i2i002i−2i2i−2i0000-22000000000
χ442-2-22-222-2-2222-2-22-2-220000000000000000000000−2i2i−2i2i00−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4400-40-44000000000004-40000000000000000000000000000000000000
χ474444-4-4-4-4400-40-4400000000000-440000000000000000000000000000000000000
χ484444-4-4-4-4-400404-4000000000000000000000000000000022−22−2222000000000000000
χ494444-4-4-4-4-400404-40000000000000000000000000000000−222222−22000000000000000
χ5044-4-444-4-40-440400-40000002222−22−22000000000000−22220000000000000000000000000
χ5144-4-444-4-40-440400-4000000−22−22222200000000000022−220000000000000000000000000
χ524-44-44-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ534-44-44-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ544-44-44-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ554-44-44-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ564-44-4-44-4404-40400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ574-44-4-44-4404-40400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ584-44-4-44-440-440-40040000000000000000004-400000000000000000000000000000
χ594-44-4-44-440-440-4004000000000000000000-4400000000000000000000000000000
χ604-4-444-4-44-400-404400022−2222−220000000000000000000000−22220000000000000000000
χ614-4-444-4-44-400-4044000−2222−2222000000000000000000000022−220000000000000000000
χ624-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ634-4-44-444-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ644-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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