Finite Group Databasebeta

← Group #477172

Character table — Group #477172

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-1-111-1-1-1111111-1-111-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ71111111111111111111111-1-1-1-1-111-11111-1-111-1-111-1-111-1-1-1-1
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1111111
χ9111111111111111111-1-1-1-11-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-11-1-111-1-11-1-111-1-1-1-11111-1-111-1-111
χ11111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-111
χ13111111111111111111-1-1-1-1-1111111-111-1-111-1-1-1-111-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ15111111111111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-11111-1-111
χ16111111111111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ1722222-2-22-2-222-2-2-2-22222-2-222-20000-200000000000000000000
χ1822222-2-22-2-222-2-2-2-22222-2-2-2-220000200000000000000000000
χ1922222-2-22-2-222-2-2-2-222-2-2222-220000-200000000000000000000
χ2022222-2-22-2-222-2-2-2-222-2-222-22-20000200000000000000000000
χ212222-22-2-22-22-2-2-2222-20000000002-20000000002-20000002-200
χ222222-22-2-22-22-2-2-2222-20000000002-2000000000-22000000-2200
χ232222-22-2-22-22-2-2-2222-2000000000-220000000002-2000000-2200
χ242222-22-2-22-22-2-2-2222-2000000000-22000000000-220000002-200
χ252222-2-22-2-22-22-2-222-2200000002-200000000000002-20000002-2
χ262222-2-22-2-22-22-2-222-2200000002-20000000000000-22000000-22
χ272222-2-22-2-22-22-2-222-220000000-2200000000000002-2000000-22
χ282222-2-22-2-22-22-2-222-220000000-220000000000000-220000002-2
χ292-2-22-2222-2-22-22-22-2-22000000000000002-22i−2i0000002i−2i000000
χ302-2-22-2222-2-22-22-22-2-22000000000000002-2−2i2i000000−2i2i000000
χ312-2-22-2222-2-22-22-22-2-2200000000000000-222i−2i000000−2i2i000000
χ322-2-22-2222-2-22-22-22-2-2200000000000000-22−2i2i0000002i−2i000000
χ332-2-22-2222-2-2-22-22-222-20000000000002-200002i−2i0000002i−2i0000
χ342-2-22-2222-2-2-22-22-222-20000000000002-20000−2i2i000000−2i2i0000
χ352-2-22-2222-2-2-22-22-222-2000000000000-2200002i−2i000000−2i2i0000
χ362-2-22-2222-2-2-22-22-222-2000000000000-220000−2i2i0000002i−2i0000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ3844444-4-44-4-4-4-44444-4-400000000000000000000000000000000
χ394444-44-4-44-4-4444-4-4-4400000000000000000000000000000000
χ404444-4-44-4-444-444-4-44-400000000000000000000000000000000
χ414-4-4444-4-4-4444-444-4-4-400000000000000000000000000000000
χ424-4-4444-4-4-44-4-44-4-444400000000000000000000000000000000
χ434-4-444-44-44-4444-4-44-4-400000000000000000000000000000000
χ444-4-444-44-44-4-4-4-444-44400000000000000000000000000000000
χ454-4-44-4-4-44444-4-44-44-4400000000000000000000000000000000
χ464-4-44-4-4-4444-444-44-44-400000000000000000000000000000000
χ4788-8-800000000000000004-40000000000000000000000000000
χ4888-8-80000000000000000-440000000000000000000000000000
χ498-88-8000000000000004-4000000000000000000000000000000
χ508-88-800000000000000-44000000000000000000000000000000

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