Finite Group Databasebeta

← Group #502707

Character table — Group #502707

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222222224444442244444444444442244444444444888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-111-1-1-11-1111-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ511111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11-11111-111111-1-1-1-1-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ711111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11111-1-1
χ811111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-11111-1-1-1-111
χ91111-1-1111-1111111111-1-1-111-1-1-1-1-1-11111-111-11-11-1-111-1-111-1-11-1
χ101111-1-1111-1111111111-1-1-111-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-111-11
χ111111-1-1111-1111111111-1-1-1-1-1-1-1111111-1-111-1-11-1-1-11-1-111-1-1111-1
χ121111-1-1111-1111111111-1-1-1-1-1-1-1111111-1-11-1-11-11-1-1111-1-111-1-1-11
χ131111-1-1111-11111-1-1-1-11-1-1-11111-1-111-1-1-1-111-1-11-111-111-1-1-1-111-11
χ141111-1-1111-11111-1-1-1-11-1-1-11111-1-111-1-1-1-11-1-11-1111-1-1-11111-1-11-1
χ151111-1-1111-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-111-11-1-111-1-11111-1-1-11
χ161111-1-1111-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-111-11-11111-1-1-1-1111-1
χ172222222222-2-22-20000-22-2-2220022000000000000-20-20000000000
χ182222222222-2-22-20000-22-2-2-2-200-2-20000000000002020000000000
χ1922222222-2222-2-22222-2-22-200220000-2-2000000000-200000000000
χ2022222222-2222-2-2-2-2-2-2-2-22-200-2-2000022000000000200000000000
χ2122222222-22-2-2-2200002-2-22000000220022-20-20000000000000000
χ2222222222-22-2-2-2200002-2-22000000-2-200-2-22020000000000000000
χ232222-2-2222-2-2-22-20000-2-2222200-2-2000000000000-2020000000000
χ242222-2-2222-2-2-22-20000-2-222-2-2002200000000000020-20000000000
χ252222-2-222-2-222-2-22222-22-2200-2-20000-2-2000000000200000000000
χ262222-2-222-2-222-2-2-2-2-2-2-22-220022000022000000000-200000000000
χ272222-2-222-2-2-2-2-220000222-20000002200-2-2-2020000000000000000
χ282222-2-222-2-2-2-2-220000222-2000000-2-2002220-20000000000000000
χ292-22-2002-2202-2-2-22i2i−2i−2i2000000000002i−2i00000000000002i−2i002-200
χ302-22-2002-2202-2-2-22i2i−2i−2i2000000000002i−2i0000000000000−2i2i00-2200
χ312-22-2002-2202-2-2-2−2i−2i2i2i200000000000−2i2i00000000000002i−2i00-2200
χ322-22-2002-2202-2-2-2−2i−2i2i2i200000000000−2i2i0000000000000−2i2i002-200
χ332-22-2002-2-202-2222i2i−2i−2i-200000000000−2i2i000000000002-2002i−2i0000
χ342-22-2002-2-202-2222i2i−2i−2i-200000000000−2i2i00000000000-2200−2i2i0000
χ352-22-2002-2-202-222−2i−2i2i2i-2000000000002i−2i000000000002-200−2i2i0000
χ362-22-2002-2-202-222−2i−2i2i2i-2000000000002i−2i00000000000-22002i−2i0000
χ37444444-4-40-40000000000000000000000000202-2-20000000000000
χ38444444-4-40-40000000000000000000000000-20-2220000000000000
χ394444-4-4-4-404000000000000000000000000020-2-220000000000000
χ404444-4-4-4-4040000000000000000000000000-2022-20000000000000
χ4144-4-44-4000000002i−2i2i−2i00002i−2i2i−2i2i−2i2-2002-20000000000000000000
χ4244-4-44-4000000002i−2i2i−2i0000−2i2i2i−2i−2i2i-2200-220000000000000000000
χ4344-4-44-400000000−2i2i−2i2i00002i−2i−2i2i2i−2i-2200-220000000000000000000
χ4444-4-44-400000000−2i2i−2i2i0000−2i2i−2i2i−2i2i2-2002-20000000000000000000
χ4544-4-4-44000000002i−2i2i−2i00002i−2i−2i2i−2i2i-22002-20000000000000000000
χ4644-4-4-44000000002i−2i2i−2i0000−2i2i−2i2i2i−2i2-200-220000000000000000000
χ4744-4-4-4400000000−2i2i−2i2i00002i−2i2i−2i−2i2i2-200-220000000000000000000
χ4844-4-4-4400000000−2i2i−2i2i0000−2i2i2i−2i2i−2i-22002-20000000000000000000
χ494-44-4004-440-44-440000-40000000000000000000000000000000000
χ504-44-4004-4-40-444-4000040000000000000000000000000000000000
χ518-88-800-88000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

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