Finite Group Databasebeta

← Group #268366

Character table — Group #268366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222222244444444444444224444444444488888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ711111111111111111111111111-1-1-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11111-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-111-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11-1
χ1411111111-1-1-1-111111111-1-1-1-111-1-111-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-1-11
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-11
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1111-1
χ17222222222222222-2-2-22-222-2-2-2-22222-20000000000000000000000000000000000-2-20000
χ18222222222222222-2-2-22-222-2-2-2-2-2-2-2-2-20000000000000000000000000000000000220000
χ19222222222222-2-2-2222-22-2-222-2-20000-222220000000000000000000000000000-2-2000000
χ20222222222222-2-2-2222-22-2-222-2-20000-2-2-2-2-2000000000000000000000000000022000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200002000022-2-200000000000000000000000000002-200
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-222000020000-2-2220000000000000000000000000000-2200
χ2322222222-2-2-2-2222-2-2-22-2-2-222-2-222-2-2200000000000000000000000000000000002-20000
χ2422222222-2-2-2-2222-2-2-22-2-2-222-2-2-2-22220000000000000000000000000000000000-220000
χ2522222222-2-2-2-2-2-2-2222-2222-2-2-2-20000222-2-20000000000000000000000000000-22000000
χ2622222222-2-2-2-2-2-2-2222-2222-2-2-2-200002-2-22200000000000000000000000000002-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000022-2-20000000000000000000000000000-2200
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-20000-2-22200000000000000000000000000002-200
χ292222-2-2-2-222-2-222-2000-202-200002-22-200000000022−2−222−2−20000000022−2−222−2−200000000
χ302222-2-2-2-222-2-222-2000-202-200002-22-2000000000−2−222−2−22200000000−2−222−2−22200000000
χ312222-2-2-2-222-2-222-2000-202-20000-22-2200000000022−2−222−2−200000000−2−222−2−22200000000
χ322222-2-2-2-222-2-222-2000-202-20000-22-22000000000−2−222−2−2220000000022−2−222−2−200000000
χ332222-2-2-2-2-2-22222-2000-20-2200002-2-2200000000022−2−2−2−2220000000022−2−2−2−22200000000
χ342222-2-2-2-2-2-22222-2000-20-2200002-2-22000000000−2−22222−2−200000000−2−22222−2−200000000
χ352222-2-2-2-2-2-22222-2000-20-220000-222-200000000022−2−2−2−22200000000−2−22222−2−200000000
χ362222-2-2-2-2-2-22222-2000-20-220000-222-2000000000−2−22222−2−20000000022−2−2−2−22200000000
χ372-22-2-22-2200002-2222-2-2-200002-20000000002-22-200002i−2i2i−2i2i2i−2i−2i00000000000000000000
χ382-22-2-22-2200002-2222-2-2-200002-20000000002-22-20000−2i2i−2i2i−2i−2i2i2i00000000000000000000
χ392-22-2-22-2200002-2222-2-2-200002-2000000000-22-2200002i−2i2i−2i−2i−2i2i2i00000000000000000000
χ402-22-2-22-2200002-2222-2-2-200002-2000000000-22-220000−2i2i−2i2i2i2i−2i−2i00000000000000000000
χ412-22-2-22-220000-22-2-2-222200002-20000000002-2-222-22-20000000022-2-20000000000000000
χ422-22-2-22-220000-22-2-2-222200002-20000000002-2-22-22-2200000000-2-2220000000000000000
χ432-22-2-22-220000-22-2-2-222200002-2000000000-222-22-22-200000000-2-2220000000000000000
χ442-22-2-22-220000-22-2-2-222200002-2000000000-222-2-22-220000000022-2-20000000000000000
χ452-2-22-2-2222-22-20002-2-202002-200000002-22-20000000000002−22−22−22−22−22−22−22−200000000
χ462-2-22-2-2222-22-20002-2-202002-200000002-22-2000000000000−22−22−22−22−22−22−22−2200000000
χ472-2-22-2-2222-22-20002-2-202002-20000000-22-220000000000002−22−22−22−2−22−22−22−2200000000
χ482-2-22-2-2222-22-20002-2-202002-20000000-22-22000000000000−22−22−22−222−22−22−22−200000000
χ492-2-22-2-222-22-220002-2-20200-2200000002-2-220000000000002−22−2−22−222−22−2−22−2200000000
χ502-2-22-2-222-22-220002-2-20200-2200000002-2-22000000000000−22−222−22−2−22−222−22−200000000
χ512-2-22-2-222-22-220002-2-20200-220000000-222-20000000000002−22−2−22−22−22−222−22−200000000
χ522-2-22-2-222-22-220002-2-20200-220000000-222-2000000000000−22−222−22−22−22−2−22−2200000000
χ534444-4-4-4-444-4-4-4-4400040-440000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-4-44000404-40000000000000000000000000000000000000000000000000
χ5544-4-44-4-4400000004-440-40000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5644-4-44-4-4400000004-440-4000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5744-4-44-4-440000000-44-404000000000000000000000000000000022−22−22220000000000000000
χ5844-4-44-4-440000000-44-4040000000000000000000000000000000−222222−220000000000000000
χ594-44-44-44-400004-4-400040000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-44-44-44-400004-4-40004000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ614-44-44-44-40000-444000-40000000000000000000022−22−22220000000000000000000000000000
χ624-44-44-44-40000-444000-400000000000000000000−222222−220000000000000000000000000000
χ634-44-4-44-4400004-44-4-44-440000-44000000000000000000000000000000000000000000000
χ644-44-4-44-440000-44-444-44-40000-44000000000000000000000000000000000000000000000
χ654-4-4444-4-44-4-4400000000000000000000000000000000000000000002-2-222-2-2200000000
χ664-4-4444-4-44-4-440000000000000000000000000000000000000000000-222-2-222-200000000
χ674-4-4444-4-4-444-400000000000000000000000000000000000000000002-2-22-222-200000000
χ684-4-4444-4-4-444-40000000000000000000000000000000000000000000-222-22-2-2200000000
χ694-4-44-4-4444-44-4000-4440-400-4400000000000000000000000000000000000000000000000
χ704-4-44-4-444-44-44000-4440-4004-400000000000000000000000000000000000000000000000
χ7188-8-8-888-8000000000000000000000000000000000000000000000000000000000000000

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