Finite Group Databasebeta

← Group #308538

Character table — Group #308538

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-1-1-11111-1
χ172222222222-22-2-2-220000-2-2222222220000-2-20000-2-20000000000000-2000000000
χ182222222222-22-2-2-220000-2-22222-2-2-2-20000220000-2-200000000000002000000000
χ192222222222-22-2-2-220000-2-2-2-2-2-222-2-20000-2-200002200000000000002000000000
χ202222222222-22-2-2-220000-2-2-2-2-2-2-2-2220000220000220000000000000-2000000000
χ2122222222-2-22-2222-22222-2-20000000022-2-200-2-2220000000000-200000000000000
χ2222222222-2-22-2222-22222-2-200000000-2-2-2-20022-2-20000000000200000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000000022220022-2-20000000000-200000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-200000000-2-22200-2-2220000000000200000000000000
χ252-222-2-22-2222-2-22-2-222-2-22-200000000002-2000000000000000002-2000002-200000
χ262-222-2-22-2222-2-22-2-222-2-22-200000000002-200000000000000000-2200000-2200000
χ272-222-2-22-2222-2-22-2-2-2-2222-20000000000-22000000000000000002-200000-2200000
χ282-222-2-22-2222-2-22-2-2-2-2222-20000000000-2200000000000000000-22000002-200000
χ292-222-2-22-2-2-222-22-2222-2-2-2200002i−2i0000-222i−2i000000000000000002i−2i0000000000
χ302-222-2-22-2-2-222-22-2222-2-2-220000−2i2i0000-22−2i2i00000000000000000−2i2i0000000000
χ312-222-2-22-2-2-222-22-22-2-222-2200002i−2i00002-22i−2i00000000000000000−2i2i0000000000
χ322-222-2-22-2-2-222-22-22-2-222-220000−2i2i00002-2−2i2i000000000000000002i−2i0000000000
χ332-222-2-22-2-2-2-222-22200002-200002i−2i000000−2i2i00000022-2-200000000002i−2i0000000
χ342-222-2-22-2-2-2-222-22200002-200002i−2i000000−2i2i000000-2-2220000000000−2i2i0000000
χ352-222-2-22-2-2-2-222-22200002-20000−2i2i0000002i−2i00000022-2-20000000000−2i2i0000000
χ362-222-2-22-2-2-2-222-22200002-20000−2i2i0000002i−2i000000-2-22200000000002i−2i0000000
χ372-2-222-2-2200202-2-202-22-20022−2−200002i−2i0000002i−2i2−22−22−2i2i2−i2−i2000000000000i2−i20
χ382-2-222-2-2200202-2-202-22-20022−2−20000−2i2i000000−2i2i2−22−22−2−i2−i2i2i2000000000000−i2i20
χ392-2-222-2-2200202-2-202-22-200−2−22200002i−2i0000002i−2i−22−22−22−i2−i2i2i2000000000000−i2i20
χ402-2-222-2-2200202-2-202-22-200−2−2220000−2i2i000000−2i2i−22−22−22i2i2−i2−i2000000000000i2−i20
χ412-2-222-2-2200202-2-20-22-220022−2−200002i−2i000000−2i2i2−2−22−22−i2−i2i2i2000000000000i2−i20
χ422-2-222-2-2200202-2-20-22-220022−2−20000−2i2i0000002i−2i2−2−22−22i2i2−i2−i2000000000000−i2i20
χ432-2-222-2-2200202-2-20-22-2200−2−22200002i−2i000000−2i2i−222−22−2i2i2−i2−i2000000000000−i2i20
χ442-2-222-2-2200202-2-20-22-2200−2−2220000−2i2i0000002i−2i−222−22−2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-444-404000-40000004-44-4000000000000000000000000000000000000000
χ47444-4-4-4-444-404000-4000000-44-44000000000000000000000000000000000000000
χ48444-4-4-4-44-440-400040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-4-4-4-44-440-40004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-44-4-40040-4-4404-4-44000000000000000000000000000000000000000000000
χ5144-44-44-4-40040-4-440-444-4000000000000000000000000000000000000000000000
χ5244-44-44-4-400-4044-400000000000000000000000000022−22−22220000000000000000000
χ5344-44-44-4-400-4044-4000000000000000000000000000−222222−220000000000000000000
χ544-444-4-44-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ554-44-444-4-44-40-40004000000000000000000000000000000000000000000002i2−2i2000
χ564-44-444-4-44-40-4000400000000000000000000000000000000000000000000−2i22i2000
χ574-44-444-4-4-4404000-40000000000004-400000000000000000000000000000000000
χ584-44-444-4-4-4404000-4000000000000-4400000000000000000000000000000000000
χ594-4-444-4-4400-40-44400000002222−22−2200000000000000−222200000000000000000000000
χ604-4-444-4-4400-40-4440000000−22−2222220000000000000022−2200000000000000000000000
χ614-4-4-4-44440000000000000022−22−2222000000000022−22000000002-2-22000000000000000
χ624-4-4-4-44440000000000000022−22−22220000000000−222200000000-222-2000000000000000
χ634-4-4-4-444400000000000000−222222−22000000000022−2200000000-222-2000000000000000
χ644-4-4-4-444400000000000000−222222−220000000000−2222000000002-2-22000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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