Finite Group Databasebeta

← Group #280952

Character table — Group #280952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888844444444888888888444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-1-111-11111-1-111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111111-1-11111-1-1
χ9111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-11-111-1-111-1-1-1-111-1-1-11
χ10111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-11111-1-11-1-1-11111-1-1-1-1111-1
χ11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-1-1111111-1-11-1
χ12111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-111-11
χ13111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1111-1
χ14111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-11-1
χ1722222222-2-2-2-22-2-2000000000022-2-2000002i2i−2i−2i000000002i−2i00000000
χ1822222222-2-2-2-22-2-2000000000022-2-200000−2i−2i2i2i00000000−2i2i00000000
χ1922222222-2-2-2-22-2-20000000000-2-222000002i2i−2i−2i00000000−2i2i00000000
χ2022222222-2-2-2-22-2-20000000000-2-22200000−2i−2i2i2i000000002i−2i00000000
χ21222222-2-22222-2-2-22222-2-2222200000000-200000-2-2000000000000000
χ22222222-2-22222-2-2-22222-2-2-2-2-2-200000000-20000022000000000000000
χ23222222-2-22222-2-2-2-2-2-2-22222-2-2000000002000002-2000000000000000
χ24222222-2-22222-2-2-2-2-2-2-222-2-22200000000200000-22000000000000000
χ252222-2-2222-22-2-22-222-2-222000000000000-2000000002i−2i2i−2i0000000000
χ262222-2-2222-22-2-22-222-2-222000000000000-200000000−2i2i−2i2i0000000000
χ272222-2-2222-22-2-22-2-2-222-2-20000000000002000000002i−2i−2i2i0000000000
χ282222-2-2222-22-2-22-2-2-222-2-2000000000000200000000−2i2i2i−2i0000000000
χ292222-2-2-2-22-22-22-2222-2-2-2-200002i−2i2i−2i00002000000000000002i−2i000000
χ302222-2-2-2-22-22-22-2222-2-2-2-20000−2i2i−2i2i0000200000000000000−2i2i000000
χ312222-2-2-2-22-22-22-22-2-2222200002i−2i2i−2i0000-200000000000000−2i2i000000
χ322222-2-2-2-22-22-22-22-2-222220000−2i2i−2i2i0000-2000000000000002i−2i000000
χ332222-2-2-2-2-22-2222-200000000002i−2i−2i2i2i2i−2i−2i00000200-200000000000000
χ342222-2-2-2-2-22-2222-200000000002i−2i−2i2i−2i−2i2i2i00000-200200000000000000
χ352222-2-2-2-2-22-2222-20000000000−2i2i2i−2i2i2i−2i−2i00000-200200000000000000
χ362222-2-2-2-2-22-2222-20000000000−2i2i2i−2i−2i−2i2i2i00000200-200000000000000
χ372-22-2-2200-222-20002i−2i2i−2i002-22i−2i0000i2−i2i2−i202−22−2000000000000i2−i22−200
χ382-22-2-2200-222-20002i−2i2i−2i002-22i−2i0000−i2i2−i2i20−22−22000000000000−i2i2−2200
χ392-22-2-2200-222-20002i−2i2i−2i00-22−2i2i0000i2−i2i2−i202−22−2000000000000−i2i2−2200
χ402-22-2-2200-222-20002i−2i2i−2i00-22−2i2i0000−i2i2−i2i20−22−22000000000000i2−i22−200
χ412-22-2-2200-222-2000−2i2i−2i2i002-2−2i2i0000i2−i2i2−i20−22−22000000000000i2−i2−2200
χ422-22-2-2200-222-2000−2i2i−2i2i002-2−2i2i0000−i2i2−i2i202−22−2000000000000−i2i22−200
χ432-22-2-2200-222-2000−2i2i−2i2i00-222i−2i0000i2−i2i2−i20−22−22000000000000−i2i22−200
χ442-22-2-2200-222-2000−2i2i−2i2i00-222i−2i0000−i2i2−i2i202−22−2000000000000i2−i2−2200
χ45444444-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ464444-4-444-44-44-4-4400000000000000000000000000000000000000000
χ474-44-44-40044-4-40000000000000000022−22−222200000000000000000000000
χ484-44-44-40044-4-400000000000000000−222222−2200000000000000000000000
χ494-44-44-400-4-4440004i−4i−4i4i0000000000000000000000000000000000000
χ504-44-44-400-4-444000−4i4i4i−4i0000000000000000000000000000000000000
χ514-44-4-44004-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-44-4-44004-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ5388-8-800000000000000042−4200000000000000000000000000000000000
χ5488-8-8000000000000000−424200000000000000000000000000000000000
χ558-8-88008i−8i000000000000000000000000000000000000000000000000
χ568-8-8800−8i8i000000000000000000000000000000000000000000000000

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