Finite Group Databasebeta

← Group #478879

Character table — Group #478879

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111-11-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111-11-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-11-11-1-1-111-1-1111111-1-1-1-111-1-111-1-1
χ13111111111111111111-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-111-1-11111
χ14111111111111111111-1-1-1-1-11-11-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ1722222-2-22-2-222-222-2-2-2000020-200000002i−2i2i−2i00000000000000
χ1822222-2-22-2-222-222-2-2-2000020-20000000−2i2i−2i2i00000000000000
χ1922222-2-22-2-222-222-2-2-20000-20200000002i−2i−2i2i00000000000000
χ2022222-2-22-2-222-222-2-2-20000-2020000000−2i2i2i−2i00000000000000
χ212222-22-2-22-2222-2-22-2-222-2-2000000000000002i−2i00000000002i−2i
χ222222-22-2-22-2222-2-22-2-222-2-200000000000000−2i2i0000000000−2i2i
χ232222-22-2-22-2222-2-22-2-2-2-222000000000000002i−2i0000000000−2i2i
χ242222-22-2-22-2222-2-22-2-2-2-22200000000000000−2i2i00000000002i−2i
χ252222-22-2-22-2-2-2-222-2220000020-2002-2000000000000002-20000
χ262222-22-2-22-2-2-2-222-2220000020-200-2200000000000000-220000
χ272222-22-2-22-2-2-2-222-22200000-202002-200000000000000-220000
χ282222-22-2-22-2-2-2-222-22200000-20200-22000000000000002-20000
χ292-22-222-2-2-222-2-22-22-220000000000002i−2i000000002i−2i00002-200
χ302-22-222-2-2-222-2-22-22-220000000000002i−2i00000000−2i2i0000-2200
χ312-22-222-2-2-222-2-22-22-22000000000000−2i2i000000002i−2i0000-2200
χ322-22-222-2-2-222-2-22-22-22000000000000−2i2i00000000−2i2i00002-200
χ332-22-22-22-22-2-22-2-222-22000000002i−2i00000000002-2002i−2i000000
χ342-22-22-22-22-2-22-2-222-22000000002i−2i0000000000-2200−2i2i000000
χ352-22-22-22-22-2-22-2-222-2200000000−2i2i00000000002-200−2i2i000000
χ362-22-22-22-22-2-22-2-222-2200000000−2i2i0000000000-22002i−2i000000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ3844444-4-44-4-4-4-44-4-444400000000000000000000000000000000
χ394444-4-44-4-4444-4-4-4-44400000000000000000000000000000000
χ404444-4-44-4-44-4-44444-4-400000000000000000000000000000000
χ414-44-444-4-4-44-444-44-44-400000000000000000000000000000000
χ424-44-44-44-44-44-444-4-44-400000000000000000000000000000000
χ434-44-4-4444-4-44-4-4-4444-400000000000000000000000000000000
χ444-44-4-4444-4-4-4444-4-4-4400000000000000000000000000000000
χ454-44-4-4-4-44444-44-44-4-4400000000000000000000000000000000
χ464-44-4-4-4-4444-44-44-444-400000000000000000000000000000000
χ4788-8-800000000000000004-40000000000000000000000000000
χ4888-8-80000000000000000-440000000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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