Finite Group Databasebeta

← Group #247771

Character table — Group #247771

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442244444444442222444444442224444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ91111111111-1-11111-1-1111111-1-1-1-1-1-111-1-111-1111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-11111-1-1111111-1-1-1-1-1-111-1-11-1111-11-1-1-1-1-111-1-111-1-111
χ111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-111-11-1-1-11-111111-1-1-1-111-1-111
χ121111111111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-11-1-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-11-1-1-11-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-1111-11-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-111-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-2-2-22200000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000
χ192222222222-2-22222-2-2-2-2-2-2-2-22222-2-200000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000000
χ21222222-2-2-2-2220000-2-222-2-20000-220022-2-2-2000000200000000000000
χ22222222-2-2-2-2220000-2-222-2-20000-2200-2-2222000000-200000000000000
χ23222222-2-2-2-2220000-2-2-2-22200002-20000000002-20002-2000000000000
χ24222222-2-2-2-2220000-2-2-2-22200002-2000000000-22000-22000000000000
χ25222222-2-2-2-2-2-200002222-2-200002-2002222-2000000-200000000000000
χ26222222-2-2-2-2-2-200002222-2-200002-200-2-2-2-22000000200000000000000
χ27222222-2-2-2-2-2-2000022-2-2220000-220000000002-2000-22000000000000
χ28222222-2-2-2-2-2-2000022-2-2220000-22000000000-220002-2000000000000
χ292222-2-22-2-220022-2-2002-22-22-20000000000002000-2000002-200000000
χ302222-2-22-2-220022-2-2002-22-22-2000000000000-2000200000-2200000000
χ312222-2-22-2-220022-2-200-22-22-22000000000002000-200002-20000000000
χ322222-2-22-2-220022-2-200-22-22-2200000000000-200020000-220000000000
χ332222-2-22-2-2200-2-222002-22-2-220000000000002000-200000-2200000000
χ342222-2-22-2-2200-2-222002-22-2-22000000000000-20002000002-200000000
χ352222-2-22-2-2200-2-22200-22-222-2000000000002000-20000-220000000000
χ362222-2-22-2-2200-2-22200-22-222-200000000000-2000200002-20000000000
χ372-22-22-222-2-22-22i−2i2i−2i2-200000000002i−2i0000000000000000002−22−2i2−i2i2−i2
χ382-22-22-222-2-22-22i−2i2i−2i2-200000000002i−2i000000000000000000−22−22−i2i2−i2i2
χ392-22-22-222-2-22-2−2i2i−2i2i2-20000000000−2i2i0000000000000000002−22−2−i2i2−i2i2
χ402-22-22-222-2-22-2−2i2i−2i2i2-20000000000−2i2i000000000000000000−22−22i2−i2i2−i2
χ412-22-22-222-2-2-222i−2i2i−2i-220000000000−2i2i0000000000000000002−2−22i2−i2−i2i2
χ422-22-22-222-2-2-222i−2i2i−2i-220000000000−2i2i000000000000000000−222−2−i2i2i2−i2
χ432-22-22-222-2-2-22−2i2i−2i2i-2200000000002i−2i0000000000000000002−2−22−i2i2i2−i2
χ442-22-22-222-2-2-22−2i2i−2i2i-2200000000002i−2i000000000000000000−222−2i2−i2−i2i2
χ454444-4-4-444-4000000004-4-440000000000000000000000000000000000
χ464444-4-4-444-400000000-444-40000000000000000000000000000000000
χ474-44-44-4-4-4444-40000-4400000000000000000000000000000000000000
χ484-44-44-4-4-444-4400004-400000000000000000000000000000000000000
χ494-44-4-444-44-4004i−4i−4i4i0000000000000000000000000000000000000000
χ504-44-4-444-44-400−4i4i4i−4i0000000000000000000000000000000000000000
χ514-44-4-44-44-44000000000000004-4000000000000000000000000000000
χ524-44-4-44-44-4400000000000000-44000000000000000000000000000000
χ5388-8-8000000000000000000000000004i−4i000000000000000000000000
χ5488-8-800000000000000000000000000−4i4i000000000000000000000000
χ558-8-8800000000000000000000000000004-40000000000000000000000
χ568-8-880000000000000000000000000000-440000000000000000000000

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