Finite Group Databasebeta

← Group #477837

Character table — Group #477837

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1111-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ51111111111111111111111-1111-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-11-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-111
χ71111111111111111111111-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ10111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-11-1111-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ12111111111111111111-1-1-1-11-1-1-11-1111111-1-111-1-1-1-1-1-111-1-111
χ13111111111111111111-1-1-1-1-1111-11-1-1111111-1-111-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-111-1-111-1-11111
χ15111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ1722222-22-2-2-2222-2-2-22-200002000-20002i−2i00002i−2i000000000000
χ1822222-22-2-2-2222-2-2-22-200002000-2000−2i2i0000−2i2i000000000000
χ1922222-22-2-2-2222-2-2-22-20000-200020002i−2i0000−2i2i000000000000
χ2022222-22-2-2-2222-2-2-22-20000-20002000−2i2i00002i−2i000000000000
χ212222-22-2-2-2222-22-22-2-222-2-20000000000002i−2i0000000000002i−2i
χ222222-22-2-2-2222-22-22-2-222-2-2000000000000−2i2i000000000000−2i2i
χ232222-22-2-2-2222-22-22-2-2-2-2220000000000002i−2i000000000000−2i2i
χ242222-22-2-2-2222-22-22-2-2-2-222000000000000−2i2i0000000000002i−2i
χ252222-22-2-2-22-2-22-22-2220000022-20-200000000000000002-20000
χ262222-22-2-2-22-2-22-22-222000002-220-20000000000000000-220000
χ272222-22-2-2-22-2-22-22-22200000-22-2020000000000000000-220000
χ282222-22-2-2-22-2-22-22-22200000-2-220200000000000000002-20000
χ292-22-2-2222-2-22-22-2-22-2200000000002i−2i000000002-2002i−2i000000
χ302-22-2-2222-2-22-22-2-22-2200000000002i−2i00000000-2200−2i2i000000
χ312-22-2-2222-2-22-22-2-22-220000000000−2i2i000000002-200−2i2i000000
χ322-22-2-2222-2-22-22-2-22-220000000000−2i2i00000000-22002i−2i000000
χ332-22-2-2-22-222-22-2-2-2222000000000000002-20000002-200002-200
χ342-22-2-2-22-222-22-2-2-2222000000000000002-2000000-220000-2200
χ352-22-2-2-22-222-22-2-2-222200000000000000-220000002-20000-2200
χ362-22-2-2-22-222-22-2-2-222200000000000000-22000000-2200002-200
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ3844444-44-4-4-4-4-4-4444-4400000000000000000000000000000000
χ394444-4-4-444-444-4-44-4-4400000000000000000000000000000000
χ404444-4-4-444-4-4-444-444-400000000000000000000000000000000
χ414-44-444-4-44-44-4-4-4444-400000000000000000000000000000000
χ424-44-444-4-44-4-4444-4-4-4400000000000000000000000000000000
χ434-44-44-4-44-444-4-44-4-44400000000000000000000000000000000
χ444-44-44-4-44-44-444-444-4-400000000000000000000000000000000
χ454-44-4-4444-4-4-44-444-44-400000000000000000000000000000000
χ464-44-4-4-44-4444-4444-4-4-400000000000000000000000000000000
χ4788-8-800000000000000004-40000000000000000000000000000
χ4888-8-80000000000000000-440000000000000000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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