Finite Group Databasebeta

← Group #489337

Character table — Group #489337

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12224444444424488888824444444816161616161616162244448888881616161644
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111-1-111-1-1111111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1
χ91111-1-1-1-1-1-111-111-1-111111-1111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-111-111-1-111111-1111-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-111-11
χ111111-1-1-1-1-1-111-111-1-111111-1-1-11-111-11111-1-1-1-1-11-11-111-1-1-11111-1-1-11
χ121111-1-1-1-1-1-111-111-1-111111-1-1-11-111-1-1-1-1-11111-11-11-111-111-1-1-1-1111-1
χ131111-1-1-1-1-1-111-111-1-11111-1111-11-1-1-11111-1-1-1-111-1-1-11-1111-1-1-1-111-11
χ141111-1-1-1-1-1-111-111-1-11111-1111-11-1-1-1-1-1-1-1111111-1-1-11-11-1-11111-1-11-1
χ151111-1-1-1-1-1-111-111-1-11111-11-1-1-1111-11111-1-1-1-1-1-1111-1-11-1-111-1-1111-1
χ161111-1-1-1-1-1-111-111-1-11111-11-1-1-1111-1-1-1-1-11111-1-1111-1-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-222002200-200000000000000-2-20000000000
χ18222222222222222-2-2-2-2-2-2-2-200-2-200-200000000000000220000000000
χ1922222222-2-222-2-2-22222-2-200220022-200000000-200-200000000000000
χ2022222222-2-222-2-2-22222-2-200-2-200-2-2-200000000200200000000000000
χ2122222222-2-222-2-2-2-2-2-2-2220000000020000000002-202-2000000000000
χ2222222222-2-222-2-2-2-2-2-2-222000000002000000000-220-22000000000000
χ23222222-2-222-2-2-2-220000002200-2-200022−2−222−2−20000000000002−22−200
χ24222222-2-222-2-2-2-220000002200-2-2000−2−222−2−222000000000000−22−2200
χ25222222-2-222-2-2-2-22000000-2-2002200022−2−222−2−2000000000000−22−2200
χ26222222-2-222-2-2-2-22000000-2-20022000−2−222−2−2220000000000002−22−200
χ272222-2-222-2-2-2-22-220000002-200-2200022−2−2−2−2220000000000002−2−2200
χ282222-2-222-2-2-2-22-220000002-200-22000−2−22222−2−2000000000000−222−200
χ292222-2-222-2-2-2-22-22000000-22002-200022−2−2−2−222000000000000−222−200
χ302222-2-222-2-2-2-22-22000000-22002-2000−2−22222−2−20000000000002−2−2200
χ312222-2-2-2-222222-2-222-2-22200000000-2000000000220-2-2000000000000
χ322222-2-2-2-222222-2-222-2-22200000000-2000000000-2-2022000000000000
χ332222-2-2-2-222222-2-2-2-222-2-2002200-2-2200000000-200200000000000000
χ342222-2-2-2-222222-2-2-2-222-2-200-2-20022200000000200-200000000000000
χ352222-2-2-2-2-2-222-22222-2-2-2-22-2002-200200000000000000-220000000000
χ362222-2-2-2-2-2-222-22222-2-2-2-2-2200-22002000000000000002-20000000000
χ372-22-22i−2i2i−2i002-20002i−2i2-200002i−2i002-20i2−i2i2−i22−22−2000000002−2i2−i2000000
χ382-22-22i−2i2i−2i002-20002i−2i2-200002i−2i002-20−i2i2−i2i2−22−2200000000−22−i2i2000000
χ392-22-22i−2i2i−2i002-20002i−2i2-20000−2i2i00-220i2−i2i2−i22−22−200000000−22−i2i2000000
χ402-22-22i−2i2i−2i002-20002i−2i2-20000−2i2i00-220−i2i2−i2i2−22−22000000002−2i2−i2000000
χ412-22-2−2i2i−2i2i002-2000−2i2i2-200002i−2i00-220i2−i2i2−i2−22−22000000002−2−i2i2000000
χ422-22-2−2i2i−2i2i002-2000−2i2i2-200002i−2i00-220−i2i2−i2i22−22−200000000−22i2−i2000000
χ432-22-2−2i2i−2i2i002-2000−2i2i2-20000−2i2i002-20i2−i2i2−i2−22−2200000000−22i2−i2000000
χ442-22-2−2i2i−2i2i002-2000−2i2i2-20000−2i2i002-20−i2i2−i2i22−22−2000000002−2−i2i2000000
χ45444444-4-4-4-4-4-444-400000000000000000000000000000000000000000
χ464444-4-44444-4-4-44-400000000000000000000000000000000000000000
χ474-44-44i−4i4i−4i004-4000−4i4i-440000000000000000000000000000000000000
χ484-44-44i−4i−4i4i00-440000000000000000002i−2i−2i2i2-2-22000000000000000000
χ494-44-44i−4i−4i4i00-44000000000000000000−2i2i2i−2i-222-2000000000000000000
χ504-44-4−4i4i4i−4i00-440000000000000000002i−2i−2i2i-222-2000000000000000000
χ514-44-4−4i4i4i−4i00-44000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ524-44-4−4i4i−4i4i004-40004i−4i-440000000000000000000000000000000000000
χ5388-8-800000000000000042−4200000000000000000000000000000000000
χ5488-8-8000000000000000−424200000000000000000000000000000000000
χ558-8-8800008i−8i0000000000000000000000000000000000000000000000
χ568-8-880000−8i8i0000000000000000000000000000000000000000000000

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