Finite Group Databasebeta

← Group #117259

Character table — Group #117259

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444488888888224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111-1-1111-1-1-1-111-111-1-111-1-1iiii−i−i−i−i11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i
χ101111-1-1111-1-1-1-111-111-1-111-1-1iiii−i−i−i−i11-1-1−iiii−i−i−ii-1-111-1-111−i−iii
χ111111-1-1111-1-1-1-111-111-1-111-1-1iiii−i−i−i−i-1-111i−i−i−iiii−i-1-11111-1-1−i−iii
χ121111-1-1111-1-1-1-111-111-1-111-1-1iiii−i−i−i−i-1-111−ii−i−iii−ii11-1-1-1-111ii−i−i
χ131111-1-1111-1-1-1-111-111-1-111-1-1−i−i−i−iiiii11-1-1i−i−i−iiii−i-1-111-1-111ii−i−i
χ141111-1-1111-1-1-1-111-111-1-111-1-1−i−i−i−iiiii11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii
χ151111-1-1111-1-1-1-111-111-1-111-1-1−i−i−i−iiiii-1-111i−iii−i−ii−i11-1-1-1-111−i−iii
χ161111-1-1111-1-1-1-111-111-1-111-1-1−i−i−i−iiiii-1-111−iiii−i−i−ii-1-11111-1-1ii−i−i
χ1722222222222-2-22-2-22-22-2-2-22-2000000000000220000-2-2000000000000
χ1822222222222-2-22-2-22-22-2-2-22-2000000000000-2-2000022000000000000
χ192222222-2-2-2-2222-2-2-2-22222-2-2000000000000000000002-22-200000000
χ202222222-2-2-2-2222-2-2-2-22222-2-200000000000000000000-22-2200000000
χ212222222-2-2-2-2-2-2222-222-2-2-2-22000000000000002-22-200000000000000
χ222222222-2-2-2-2-2-2222-222-2-2-2-2200000000000000-22-2200000000000000
χ23222222-2222222-222-2-2-2-22-2-2-20000000000000000000000002i−2i2i−2i0000
χ24222222-2222222-222-2-2-2-22-2-2-2000000000000000000000000−2i2i−2i2i0000
χ25222222-22222-2-2-2-2-2-22-22-22-2222-2-222-2-2000000000000000000000000
χ26222222-22222-2-2-2-2-2-22-22-22-22-2-222-2-222000000000000000000000000
χ27222222-2-2-2-2-222-2-2-222-2-22-222000000002-22-200000000000000000000
χ28222222-2-2-2-2-222-2-2-222-2-22-22200000000-22-2200000000000000000000
χ29222222-2-2-2-2-2-2-2-2222-2-22-222-200000000000000000000000000002-22-2
χ30222222-2-2-2-2-2-2-2-2222-2-22-222-20000000000000000000000000000-22-22
χ312222-2-2222-2-2222-222-2-22-2-2-220000000000002i−2i0000−2i2i000000000000
χ322222-2-2222-2-2222-222-2-22-2-2-22000000000000−2i2i00002i−2i000000000000
χ332222-2-22-2-2222222-2-22-22-2-22-2000000000000002i−2i−2i2i00000000000000
χ342222-2-22-2-2222222-2-22-22-2-22-200000000000000−2i2i2i−2i00000000000000
χ352222-2-22-2-222-2-22-22-2-2-2-22222000000000000000000002-2-2200000000
χ362222-2-22-2-222-2-22-22-2-2-2-2222200000000000000000000-222-200000000
χ372222-2-2-222-2-222-2-22-222-2-222-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ382222-2-2-222-2-222-2-22-222-2-222-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ392222-2-2-222-2-2-2-2-22-2-2-2222-2220000000000000000000000002i−2i−2i2i0000
χ402222-2-2-222-2-2-2-2-22-2-2-2222-222000000000000000000000000−2i2i2i−2i0000
χ412222-2-2-2-2-22222-22-22-22-2-22-2200000000000000000000000000002i−2i−2i2i
χ422222-2-2-2-2-22222-22-22-22-2-22-220000000000000000000000000000−2i2i2i−2i
χ432222-2-2-2-2-222-2-2-2-2222222-2-2-2000000002-2-2200000000000000000000
χ442222-2-2-2-2-222-2-2-2-2222222-2-2-200000000-222-200000000000000000000
χ454-4-444-404-44-40000000000000002i2−2i2002i2−2i2000000000000000000000000
χ464-4-444-404-44-4000000000000000−2i22i200−2i22i2000000000000000000000000
χ474-4-444-40-44-4400000000000002i2−2i2002i2−2i200000000000000000000000000
χ484-4-444-40-44-440000000000000−2i22i200−2i22i200000000000000000000000000
χ494-4-44-4404-4-4400000000000000022−2200−2222000000000000000000000000
χ504-4-44-4404-4-44000000000000000−22220022−22000000000000000000000000
χ514-4-44-440-444-4000000000000022−2200−222200000000000000000000000000
χ524-4-44-440-444-40000000000000−22220022−2200000000000000000000000000
χ5388-8-800000008i−8i0000000000000000000000000000000000000000000
χ5488-8-80000000−8i8i0000000000000000000000000000000000000000000
χ558-88-8008000000-8000000000000000000000000000000000000000000
χ568-88-800-80000008000000000000000000000000000000000000000000

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