Finite Group Databasebeta

← Group #512121

Character table — Group #512121

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12222244442222442224444444444444444444444442444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ611111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ811111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ9111111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-11-1-111-11-11-1
χ10111111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-111-1-11-11-11
χ11111111-1-1-1-1111111-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-1-11-11-111-1
χ12111111-1-1-1-1111111-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-111-11-11-1-11
χ13111111-1-1-1-1111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-111-1-11-11
χ14111111-1-1-1-1111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-111-1-111-11-1
χ15111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-11-111-1-11
χ16111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-111-11-1-111-1
χ17222222222222-2-2-2-2-200000022222-20000000000-2-2-2-20000000000
χ18222222222222-2-2-2-2-2000000-2-2-2-22-2000000000022220000000000
χ192222222222-2-222-2-2-20022220000-22000000-2-2-2-200000000000000
χ202222222222-2-222-2-2-200-2-2-2-20000-22000000222200000000000000
χ212222222222-2-2-2-22222200000000-2-222-2-2-2-2000000000000000000
χ222222222222-2-2-2-2222-2-200000000-2-2-2-22222000000000000000000
χ23222222-2-2-2-222-2-2-2-2200000022-2-2-220000000000-2-2220000000000
χ24222222-2-2-2-222-2-2-2-22000000-2-222-22000000000022-2-20000000000
χ25222222-2-2-2-2-2-222-2-220022-2-200002-2000000-2-22200000000000000
χ26222222-2-2-2-2-2-222-2-2200-2-22200002-200000022-2-200000000000000
χ27222222-2-2-2-2-2-2-2-222-2220000000022-2-2-2-222000000000000000000
χ28222222-2-2-2-2-2-2-2-222-2-2-200000000222222-2-2000000000000000000
χ292-2-222-200002-22-22-2000002i−2i2i−2i00002-2002-2002i−2i2i−2i000000000000
χ302-2-222-200002-22-22-2000002i−2i−2i2i0000-2200-22002i−2i−2i2i000000000000
χ312-2-222-200002-22-22-200000−2i2i2i−2i0000-2200-2200−2i2i2i−2i000000000000
χ322-2-222-200002-22-22-200000−2i2i−2i2i00002-2002-200−2i2i−2i2i000000000000
χ332-2-222-200002-2-22-2202-22i−2i002i−2i0000002-2002i−2i00−2i2i000000000000
χ342-2-222-200002-2-22-2202-2−2i2i00−2i2i0000002-200−2i2i002i−2i000000000000
χ352-2-222-200002-2-22-220-222i−2i00−2i2i000000-22002i−2i002i−2i000000000000
χ362-2-222-200002-2-22-220-22−2i2i002i−2i000000-2200−2i2i00−2i2i000000000000
χ372-2-222-20000-222-2-2202-2002i−2i002i−2i0000-220000−2i2i002i−2i0000000000
χ382-2-222-20000-222-2-2202-200−2i2i00−2i2i0000-2200002i−2i00−2i2i0000000000
χ392-2-222-20000-222-2-220-22002i−2i00−2i2i00002-20000−2i2i00−2i2i0000000000
χ402-2-222-20000-222-2-220-2200−2i2i002i−2i00002-200002i−2i002i−2i0000000000
χ412-2-222-20000-22-222-20002i−2i00002i−2i002-200-22−2i2i0000−2i2i0000000000
χ422-2-222-20000-22-222-20002i−2i0000−2i2i00-22002-2−2i2i00002i−2i0000000000
χ432-2-222-20000-22-222-2000−2i2i00002i−2i00-22002-22i−2i0000−2i2i0000000000
χ442-2-222-20000-22-222-2000−2i2i0000−2i2i002-200-222i−2i00002i−2i0000000000
χ454444-4-444-4-400000000000000000000000000000000022-2-2000000
χ464444-4-444-4-4000000000000000000000000000000000-2-222000000
χ474444-4-4-4-4440000000000000000000000000000000002-22-2000000
χ484444-4-4-4-444000000000000000000000000000000000-22-22000000
χ4988-8-800008i−8i0000000000000000000000000000000000000000000
χ5088-8-80000−8i8i0000000000000000000000000000000000000000000
χ518-88-8008i−8i000000000000000000000000000000000000000000000
χ528-88-800−8i8i000000000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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