Finite Group Databasebeta

← Group #502683

Character table — Group #502683

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222244444444444444444444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11-111-11-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-11-111-11-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ511111111111-1-1-1-11111-1-111111-1-1-1-111-1-111-11-111-111111-1-1-1-1-1-1
χ611111111111-1-1-1-11111-1-111111-1-1-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1111111
χ711111111111-1-1-1-11111-1-1111-1-111-1-1-1-111-1111-1-1111-1-1-1-11111-1-1
χ811111111111-1-1-1-11111-1-1111-1-111-1-1-1-111-1-11-1-1-1-11-11111-1-1-1-111
χ91111-1-111-1111111111111-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-111-1-11-1
χ101111-1-111-1111111111111-1-1-111-1-1-1-1-1-1111-111-1-11-1-1-1-111-1-111-11
χ111111-1-111-1111111111111-1-1-1-1-111-1-111-1-1-11-1-1-11-111-1-111-1-1111-1
χ121111-1-111-1111111111111-1-1-1-1-111-1-111-1-1-1-1-11-1111-111-1-111-1-1-11
χ131111-1-111-111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-111-11
χ141111-1-111-111-1-1-1-11111-1-1-1-1-1111111-1-1-1-11-1-111-111-1-1-11111-1-11-1
χ151111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-111-1-11-1-11111-1-1-11
χ161111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-1111-1
χ172222222222-20000-2-22-2002-2-2002200002200-20000-200000000000
χ182222222222-20000-2-22-2002-2-200-2-20000-2-20020000200000000000
χ19222222222-220000-2-2-2200-22-22200002200-20000-20000000000000
χ20222222222-220000-2-2-2200-22-2-2-20000-2-2002000020000000000000
χ21222222222-2-2222222-2-2-2-2-2-2200002200000000-200000000000000
χ22222222222-2-2-2-2-2-222-2-222-2-220000-2-200000000200000000000000
χ232222-2-222-22-20000-2-22-200-22200220000-2-20020000-200000000000
χ242222-2-222-22-20000-2-22-200-22200-2-200002200-20000200000000000
χ252222-2-222-2-220000-2-2-22002-22220000-2-200-2000020000000000000
χ262222-2-222-2-220000-2-2-22002-22-2-20000220020000-20000000000000
χ272222-2-222-2-2-2222222-2-2-2-222-20000-2-200000000200000000000000
χ282222-2-222-2-2-2-2-2-2-222-2-22222-200002200000000-200000000000000
χ292-2-22002-202-22i2i−2i−2i2-2-222i−2i00000000000000000000002-2002i−2i0000
χ302-2-22002-202-22i2i−2i−2i2-2-222i−2i0000000000000000000000-2200−2i2i0000
χ312-2-22002-202-2−2i−2i2i2i2-2-22−2i2i00000000000000000000002-200−2i2i0000
χ322-2-22002-202-2−2i−2i2i2i2-2-22−2i2i0000000000000000000000-22002i−2i0000
χ332-2-22002-20-222i2i−2i−2i2-22-2−2i2i0000000000000000000000002i−2i002-200
χ342-2-22002-20-222i2i−2i−2i2-22-2−2i2i000000000000000000000000−2i2i00-2200
χ352-2-22002-20-22−2i−2i2i2i2-22-22i−2i0000000000000000000000002i−2i00-2200
χ362-2-22002-20-22−2i−2i2i2i2-22-22i−2i000000000000000000000000−2i2i002-200
χ37444444-4-4-40000000000000000000000000020-20020-20000000000
χ38444444-4-4-400000000000000000000000000-20200-2020000000000
χ394444-4-4-4-440000000000000000000000000020200-20-20000000000
χ404444-4-4-4-4400000000000000000000000000-20-2002020000000000
χ414-44-44-4000002i−2i2i−2i0000000002i−2i2-22i−2i2i−2i2-20000000000000000000
χ424-44-44-4000002i−2i2i−2i000000000−2i2i-222i−2i−2i2i-220000000000000000000
χ434-44-44-400000−2i2i−2i2i0000000002i−2i-22−2i2i2i−2i-220000000000000000000
χ444-44-44-400000−2i2i−2i2i000000000−2i2i2-2−2i2i−2i2i2-20000000000000000000
χ454-44-4-44000002i−2i2i−2i0000000002i−2i-22−2i2i−2i2i2-20000000000000000000
χ464-44-4-44000002i−2i2i−2i000000000−2i2i2-2−2i2i2i−2i-220000000000000000000
χ474-44-4-4400000−2i2i−2i2i0000000002i−2i2-22i−2i−2i2i-220000000000000000000
χ484-44-4-4400000−2i2i−2i2i000000000−2i2i-222i−2i2i−2i2-20000000000000000000
χ494-4-44004-40440000-44-4-40000000000000000000000000000000000
χ504-4-44004-40-4-40000-44440000000000000000000000000000000000
χ5188-8-800000004-4-4400000000000000000000000000000000000000
χ5288-8-80000000-444-400000000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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