Finite Group Databasebeta

← Group #264690

Character table — Group #264690

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888822224444888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-1-1-111
χ5111111111111111111111-1-111-1-111111111111-11-1-1-1-1-111111-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-11-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1
χ9111111111111111-1-1-1-1-1-11111-1-111-11111-1-1-1-11-11-1-1-11-1-1-11111-1-11-1
χ10111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111-11
χ11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1111-1-111-1-1-11
χ12111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-11-1111-11-1-1-1-111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-111111-1-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-1111111-1-1-11
χ1722222222-2-222-2-2-222-2-2-2-22200-2-20020000000000-2002000000000000
χ1822222222-2-222-2-2-222-2-2-2-2-2-200220020000000000200-2000000000000
χ1922222222-2-222-2-2-2-2-2222222002200-20000000000-200-2000000000000
χ2022222222-2-222-2-2-2-2-22222-2-200-2-200-200000000002002000000000000
χ21222222-2-2-2-2-2-2-222000000002-2002-20000022-2-20200000-20000000000
χ22222222-2-2-2-2-2-2-222000000002-2002-200000-2-2220-20000020000000000
χ23222222-2-2-2-2-2-2-22200000000-2200-220000022-2-20-20000020000000000
χ24222222-2-2-2-2-2-2-22200000000-2200-2200000-2-2220200000-20000000000
χ252222-2-222-2-2-2-222-2000000002200-2-202i2i−2i−2i000000000000002i−2i000000
χ262222-2-222-2-2-2-222-2000000002200-2-20−2i−2i2i2i00000000000000−2i2i000000
χ272222-2-222-2-2-2-222-200000000-2-2002202i2i−2i−2i00000000000000−2i2i000000
χ282222-2-222-2-2-2-222-200000000-2-200220−2i−2i2i2i000000000000002i−2i000000
χ292222-2-2-2-22222-22-22222-2-2002-200-22-200000000000000002-200000000
χ302222-2-2-2-22222-22-22222-2-200-22002-2-20000000000000000-2200000000
χ312222-2-2-2-22222-22-2-2-2-2-222002-200-2220000000000000000-2200000000
χ322222-2-2-2-22222-22-2-2-2-2-22200-22002-2200000000000000002-200000000
χ332222-2-2-2-2-2-2222-2222-2-22200000000-2000000002002-20-200000000000
χ342222-2-2-2-2-2-2222-2222-2-22200000000-200000000-200-220200000000000
χ352222-2-2-2-2-2-2222-22-2-222-2-200000000200000000200-220-200000000000
χ362222-2-2-2-2-2-2222-22-2-222-2-200000000200000000-2002-20200000000000
χ372-2-222-22-2002-2000002i−2i2i−2i2-2002i−2i000i2−i2i2−i22−22−2000000000000i2−i22−200
χ382-2-222-22-2002-2000002i−2i2i−2i2-2002i−2i000−i2i2−i2i2−22−22000000000000−i2i2−2200
χ392-2-222-22-2002-2000002i−2i2i−2i-2200−2i2i000i2−i2i2−i22−22−2000000000000−i2i2−2200
χ402-2-222-22-2002-2000002i−2i2i−2i-2200−2i2i000−i2i2−i2i2−22−22000000000000i2−i22−200
χ412-2-222-22-2002-200000−2i2i−2i2i2-200−2i2i000i2−i2i2−i2−22−22000000000000i2−i2−2200
χ422-2-222-22-2002-200000−2i2i−2i2i2-200−2i2i000−i2i2−i2i22−22−2000000000000−i2i22−200
χ432-2-222-22-2002-200000−2i2i−2i2i-22002i−2i000i2−i2i2−i2−22−22000000000000−i2i22−200
χ442-2-222-22-2002-200000−2i2i−2i2i-22002i−2i000−i2i2−i2i22−22−2000000000000i2−i2−2200
χ45444444-4-444-4-44-4-400000000000000000000000000000000000000000
χ464444-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ474-4-444-4-4400-44000000000000000000000022−22−2222000000000000000000
χ484-4-444-4-4400-440000000000000000000000−222222−22000000000000000000
χ494-4-44-444-400-4400000000000000000022−22−22220000000000000000000000
χ504-4-44-444-400-44000000000000000000−222222−220000000000000000000000
χ514-4-44-44-44004-4000004i−4i−4i4i00000000000000000000000000000000000
χ524-4-44-44-44004-400000−4i4i4i−4i00000000000000000000000000000000000
χ5388-8-8000000000004i2−4i2000000000000000000000000000000000000000
χ5488-8-800000000000−4i24i2000000000000000000000000000000000000000
χ558-88-800008i−8i0000000000000000000000000000000000000000000000
χ568-88-80000−8i8i0000000000000000000000000000000000000000000000

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