Finite Group Databasebeta

← Group #247745

Character table — Group #247745

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442244444444442244444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111111-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-11-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ91111111111-1-11111-1-11111-1-1-111-1-1-111-1-11-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-11111-1-11111-1-1-111-1-1-111-1-1-11111-11-1-1-1-1-111-1-111-1-111
χ111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-111-1-111
χ121111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-11-11-1-11-1-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-111-1-1-11-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1111-11-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11-111-111-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-200-222-2-2000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-200-2-2-222000000000000000000000000
χ192222222222-2-22222-2-2-2-2-2-2222002-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-220022222000000000000000000000000
χ21222222-2-2-2-2220000-2-222-2-200-222200002200-20000-200000000000000
χ22222222-2-2-2-2220000-2-222-2-200-2-2-220000-2-20020000200000000000000
χ23222222-2-2-2-2220000-2-2-2-22200200-20000000002-20002-2000000000000
χ24222222-2-2-2-2220000-2-2-2-22200200-2000000000-22000-22000000000000
χ25222222-2-2-2-2-2-200002222-2-200222-20000-2-200-20000200000000000000
χ26222222-2-2-2-2-2-200002222-2-2002-2-2-20000220020000-200000000000000
χ27222222-2-2-2-2-2-2000022-2-22200-20020000000002-2000-22000000000000
χ28222222-2-2-2-2-2-2000022-2-22200-2002000000000-220002-2000000000000
χ292222-2-22-2-220022-2-2002-22-2000000002-200020000-2000002-200000000
χ302222-2-22-2-220022-2-2002-22-2000000002-2000-20000200000-2200000000
χ312222-2-22-2-220022-2-200-22-2200000000-220020000-200002-20000000000
χ322222-2-22-2-220022-2-200-22-2200000000-2200-2000020000-220000000000
χ332222-2-22-2-2200-2-222002-22-200000000-2200020000-200000-2200000000
χ342222-2-22-2-2200-2-222002-22-200000000-22000-200002000002-200000000
χ352222-2-22-2-2200-2-22200-22-22000000002-20020000-20000-220000000000
χ362222-2-22-2-2200-2-22200-22-22000000002-200-20000200002-20000000000
χ372-2-222-222-2-22-22i−2i2i−2i2-200000000002i−2i000000000000000000i2−i2i2−i22−22−2
χ382-2-222-222-2-22-22i−2i2i−2i2-200000000002i−2i000000000000000000−i2i2−i2i2−22−22
χ392-2-222-222-2-22-2−2i2i−2i2i2-20000000000−2i2i000000000000000000i2−i2i2−i2−22−22
χ402-2-222-222-2-22-2−2i2i−2i2i2-20000000000−2i2i000000000000000000−i2i2−i2i22−22−2
χ412-2-222-222-2-2-222i−2i2i−2i-220000000000−2i2i000000000000000000i2−i2−i2i22−2−22
χ422-2-222-222-2-2-222i−2i2i−2i-220000000000−2i2i000000000000000000−i2i2i2−i2−222−2
χ432-2-222-222-2-2-22−2i2i−2i2i-2200000000002i−2i000000000000000000i2−i2−i2i2−222−2
χ442-2-222-222-2-2-22−2i2i−2i2i-2200000000002i−2i000000000000000000−i2i2i2−i22−2−22
χ454444-4-4-444-4000000004-4-440000000000000000000000000000000000
χ464444-4-4-444-400000000-444-40000000000000000000000000000000000
χ474-4-444-4-4-4444-40000-4400000000000000000000000000000000000000
χ484-4-444-4-4-444-4400004-400000000000000000000000000000000000000
χ494-4-44-444-44-4004i−4i−4i4i0000000000000000000000000000000000000000
χ504-4-44-444-44-400−4i4i4i−4i0000000000000000000000000000000000000000
χ514-4-44-44-44-440000000000004-400000000000000000000000000000000
χ524-4-44-44-44-44000000000000-4400000000000000000000000000000000
χ5388-8-80000000000000000000004-400000000000000000000000000000
χ5488-8-8000000000000000000000-4400000000000000000000000000000
χ558-88-800000000000000000000000000004i−4i0000000000000000000000
χ568-88-80000000000000000000000000000−4i4i0000000000000000000000

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