Finite Group Databasebeta

← Group #476700

Character table — Group #476700

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442222444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1111-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ51111111111111111111111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-11-1-1-11-1-1-1-1-1-1-1111111-1-11111-1-1
χ71111111111111111111111-1-1-11-1-1-111111-1-111-1-11111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ10111111111111111111-1-1-1-1111-1-1-11-1111111-1-1-1-111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-111-11-1-1-11-1-1-1-111-1-111111111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ14111111111111111111-1-1-1-1-1-11-1111-1-1-1111111-1-1-1-11111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1111-1111-1-1111111-1-1-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111
χ1722222-22-2-2-2222-2-2-22-20000002000-20002i−2i2i−2i00000000000000
χ1822222-22-2-2-2222-2-2-22-20000002000-2000−2i2i−2i2i00000000000000
χ1922222-22-2-2-2222-2-2-22-2000000-200020002i−2i−2i2i00000000000000
χ2022222-22-2-2-2222-2-2-22-2000000-20002000−2i2i2i−2i00000000000000
χ212222-2-2-222-222-222-2-2-222-2-2000000000000002i−2i002i−2i00000000
χ222222-2-2-222-222-222-2-2-222-2-200000000000000−2i2i00−2i2i00000000
χ232222-2-2-222-222-222-2-2-2-2-222000000000000002i−2i00−2i2i00000000
χ242222-2-2-222-222-222-2-2-2-2-22200000000000000−2i2i002i−2i00000000
χ252222-2-2-222-2-2-22-2-2222000000022-20-200000000000000002-200
χ262222-2-2-222-2-2-22-2-222200000002-220-20000000000000000-2200
χ272222-2-2-222-2-2-22-2-22220000000-22-2020000000000000000-2200
χ282222-2-2-222-2-2-22-2-22220000000-2-220200000000000000002-200
χ292-2-22-2222-2-22-222-2-2-2200002-2000000000000002i−2i002i−2i000000
χ302-2-22-2222-2-22-222-2-2-2200002-200000000000000−2i2i00−2i2i000000
χ312-2-22-2222-2-22-222-2-2-220000-22000000000000002i−2i00−2i2i000000
χ322-2-22-2222-2-22-222-2-2-220000-2200000000000000−2i2i002i−2i000000
χ332-2-22-2-22-222-22-22-2-2220000000000002-20000000000002-2002-2
χ342-2-22-2-22-222-22-22-2-2220000000000002-2000000000000-2200-22
χ352-2-22-2-22-222-22-22-2-222000000000000-220000000000002-200-22
χ362-2-22-2-22-222-22-22-2-222000000000000-22000000000000-22002-2
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ3844444-44-4-4-4-4-4-4444-4400000000000000000000000000000000
χ394444-44-4-4-4444-4-4-44-4400000000000000000000000000000000
χ404444-44-4-4-44-4-4444-44-400000000000000000000000000000000
χ414-4-4444-4-44-44-4-4-44-44400000000000000000000000000000000
χ424-4-4444-4-44-4-4444-44-4-400000000000000000000000000000000
χ434-4-444-4-44-444-4-44-444-400000000000000000000000000000000
χ444-4-444-4-44-44-444-44-4-4400000000000000000000000000000000
χ454-4-44-4444-4-4-44-4-4444-400000000000000000000000000000000
χ464-4-44-4-44-4444-44-444-4-400000000000000000000000000000000
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-88-8000000000000004-4000000000000000000000000000000
χ508-88-800000000000000-44000000000000000000000000000000

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