Finite Group Databasebeta

← Group #478507

Character table — Group #478507

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111
χ51111111111111111111111-11111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-111-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
χ71111111111111111111111-1-1-111-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111-1-1-1-11-1-1111-1-11111-1-111-1-111-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ14111111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1
χ1722222-22-2-2-2222-2-2-22-2000020000-2002i−2i00002i−2i000000000000
χ1822222-22-2-2-2222-2-2-22-2000020000-200−2i2i0000−2i2i000000000000
χ1922222-22-2-2-2222-2-2-22-20000-200002002i−2i0000−2i2i000000000000
χ2022222-22-2-2-2222-2-2-22-20000-20000200−2i2i00002i−2i000000000000
χ212222-22-2-2-2222-222-2-2-222-2-20000000000002i−2i00002i−2i00000000
χ222222-22-2-2-2222-222-2-2-222-2-2000000000000−2i2i0000−2i2i00000000
χ232222-22-2-2-2222-222-2-2-2-2-2220000000000002i−2i0000−2i2i00000000
χ242222-22-2-2-2222-222-2-2-2-2-222000000000000−2i2i00002i−2i00000000
χ252222-22-2-2-22-2-22-2-2222000002-20002-20000000000000000002-2
χ262222-22-2-2-22-2-22-2-2222000002-2000-22000000000000000000-22
χ272222-22-2-2-22-2-22-2-222200000-220002-2000000000000000000-22
χ282222-22-2-2-22-2-22-2-222200000-22000-220000000000000000002-2
χ292-2-2222-22-2-22-2-22-2-22200000002i−2i000000000002i−2i00002-20000
χ302-2-2222-22-2-22-2-22-2-22200000002i−2i00000000000−2i2i0000-220000
χ312-2-2222-22-2-22-2-22-2-2220000000−2i2i000000000002i−2i0000-220000
χ322-2-2222-22-2-22-2-22-2-2220000000−2i2i00000000000−2i2i00002-20000
χ332-2-222-2-2-222-2222-2-2-22000000000000002i−2i000000002i−2i002-200
χ342-2-222-2-2-222-2222-2-2-22000000000000002i−2i00000000−2i2i00-2200
χ352-2-222-2-2-222-2222-2-2-2200000000000000−2i2i000000002i−2i00-2200
χ362-2-222-2-2-222-2222-2-2-2200000000000000−2i2i00000000−2i2i002-200
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ3844444-44-4-4-4-4-4-4444-4400000000000000000000000000000000
χ394444-4-4-444-444-4-4-44-4400000000000000000000000000000000
χ404444-4-4-444-4-4-4444-44-400000000000000000000000000000000
χ414-4-4444-44-4-4-444-444-4-400000000000000000000000000000000
χ424-4-444-4-4-4444-4-4-4444-400000000000000000000000000000000
χ434-4-44-444-44-44-444-44-4-400000000000000000000000000000000
χ444-4-44-444-44-4-44-4-44-44400000000000000000000000000000000
χ454-4-44-4-444-444-44-44-4-4400000000000000000000000000000000
χ464-4-44-4-444-44-44-44-444-400000000000000000000000000000000
χ4788-8-800000000000000004-40000000000000000000000000000
χ4888-8-80000000000000000-440000000000000000000000000000
χ498-88-8000000000000004i−4i000000000000000000000000000000
χ508-88-800000000000000−4i4i000000000000000000000000000000

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