Finite Group Databasebeta

← Group #478506

Character table — Group #478506

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442224444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-11-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ51111111111111111111111-1-1111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-11-11-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-11-1-1-1111-1-11111-1-11111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111
χ10111111111111111111-1-1-1-1111-11-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ11111111111111111111-1-1-1-111-11-1-1-11111111-1-111-1-1-1-111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ13111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-11-1111-11111-1-111-1-111-1-111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111111-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11111-1-111
χ1722222-22-2-2-2222-2-2-22-200000020-2000002i−2i002i−2i000000000000
χ1822222-22-2-2-2222-2-2-22-200000020-200000−2i2i00−2i2i000000000000
χ1922222-22-2-2-2222-2-2-22-2000000-202000002i−2i00−2i2i000000000000
χ2022222-22-2-2-2222-2-2-22-2000000-20200000−2i2i002i−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
χ252222-22-2-2-22-2-22-2-222200002-202000-2000000000000002-20000
χ262222-22-2-2-22-2-22-2-222200002-20-2000200000000000000-220000
χ272222-22-2-2-22-2-22-2-22220000-2202000-200000000000000-220000
χ282222-22-2-2-22-2-22-2-22220000-220-20002000000000000002-20000
χ292-22-222-22-2-22-2-22-2-2220000000002i−2i0000000002i−2i002-2000000
χ302-22-222-22-2-22-2-22-2-2220000000002i−2i000000000−2i2i00-22000000
χ312-22-222-22-2-22-2-22-2-222000000000−2i2i0000000002i−2i00-22000000
χ322-22-222-22-2-22-2-22-2-222000000000−2i2i000000000−2i2i002-2000000
χ332-22-22-2-2-222-2222-2-2-220000000000002i−2i000000000000002-22i−2i
χ342-22-22-2-2-222-2222-2-2-220000000000002i−2i00000000000000-22−2i2i
χ352-22-22-2-2-222-2222-2-2-22000000000000−2i2i000000000000002-2−2i2i
χ362-22-22-2-2-222-2222-2-2-22000000000000−2i2i00000000000000-222i−2i
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
χ414-44-444-44-4-4-444-444-4-400000000000000000000000000000000
χ424-44-44-4-4-4444-4-4-4444-400000000000000000000000000000000
χ434-44-4-444-44-44-444-44-4-400000000000000000000000000000000
χ444-44-4-444-44-4-44-4-44-44400000000000000000000000000000000
χ454-44-4-4-444-444-44-44-4-4400000000000000000000000000000000
χ464-44-4-4-444-44-44-44-444-400000000000000000000000000000000
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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