Finite Group Databasebeta

← Group #503476

Character table — Group #503476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ51111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-11-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1111111
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1111-1-1-1-11111-1-1
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11-1-11111-1-1-1-111
χ9111111-1-1-11111111111-1-1-111-1-111-1-111-1-1111-1-1-1-11-111-1-111-1-11-1
χ10111111-1-1-11111111111-1-1-111-1-111-1-111-1-111-11-1-1-1-11-1-111-1-111-11
χ11111111-1-1-11111111111-1-1-111-1-1-1-111-1-111-1-11-1-1111-1-1-111-1-1111-1
χ12111111-1-1-11111111111-1-1-111-1-1-1-111-1-111-1-1-11-111-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-11-11-111-111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-1-111-11-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111-111-11-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-11111-1-1-11-1111-1-1111-1-1-1-1111-1
χ1722222222222222-2-2-2-222-2-2-2-222000000000000-200000000000000
χ182222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000200000000000000
χ19222222222-2000022-2-2-2-22-20000000022220-20000-2000000000000
χ20222222222-2000022-2-2-2-22-200000000-2-2-2-20200002000000000000
χ21222222222-20000-2-222-2-2-22000022220000-20000-20000000000000
χ22222222222-20000-2-222-2-2-220000-2-2-2-200002000020000000000000
χ23222222-2-2-222222-2-2-2-22-222-2-2-2-2000000000000200000000000000
χ24222222-2-2-22-2-2-2-2-2-2-2-22-2222222000000000000-200000000000000
χ25222222-2-2-2-2000022-2-2-22-220000000022-2-20-200002000000000000
χ26222222-2-2-2-2000022-2-2-22-2200000000-2-222020000-2000000000000
χ27222222-2-2-2-20000-2-222-222-2000022-2-20000-2000020000000000000
χ28222222-2-2-2-20000-2-222-222-20000-2-222000020000-20000000000000
χ292-22-2-22000222-2-22-22-2-20002-20000000000000000000002i−2i002i−2i00
χ302-22-2-22000222-2-22-22-2-20002-2000000000000000000000−2i2i00−2i2i00
χ312-22-2-22000222-2-2-22-22-2000-2200000000000000000002i−2i002i−2i0000
χ322-22-2-22000222-2-2-22-22-2000-220000000000000000000−2i2i00−2i2i0000
χ332-22-2-220002-2-2222-22-2-2000-220000000000000000000002i−2i00−2i2i00
χ342-22-2-220002-2-2222-22-2-2000-22000000000000000000000−2i2i002i−2i00
χ352-22-2-220002-2-222-22-22-20002-200000000000000000002i−2i00−2i2i0000
χ362-22-2-220002-2-222-22-22-20002-20000000000000000000−2i2i002i−2i0000
χ374444-4-444-40000000000000000000000000002-2000-220000000000
χ384444-4-444-4000000000000000000000000000-220002-20000000000
χ394444-4-4-4-4400000000000000000000000000022000-2-20000000000
χ404444-4-4-4-44000000000000000000000000000-2-2000220000000000
χ414-44-4-44000-400004-4-4440000000000000000000000000000000000
χ424-44-4-44000-40000-444-440000000000000000000000000000000000
χ434-4-44004i−4i002-22-200000000002i−2i2i−2i2-22i−2i2-20000000000000000000
χ444-4-44004i−4i002-22-200000000002i−2i−2i2i-22−2i2i-220000000000000000000
χ454-4-44004i−4i00-22-220000000000−2i2i2i−2i2-2−2i2i-220000000000000000000
χ464-4-44004i−4i00-22-220000000000−2i2i−2i2i-222i−2i2-20000000000000000000
χ474-4-4400−4i4i002-22-20000000000−2i2i2i−2i-222i−2i-220000000000000000000
χ484-4-4400−4i4i002-22-20000000000−2i2i−2i2i2-2−2i2i2-20000000000000000000
χ494-4-4400−4i4i00-22-2200000000002i−2i2i−2i-22−2i2i2-20000000000000000000
χ504-4-4400−4i4i00-22-2200000000002i−2i−2i2i2-22i−2i-220000000000000000000
χ5188-8-80000004-4-44000000000000000000000000000000000000000
χ5288-8-8000000-444-4000000000000000000000000000000000000000
χ538-88-88-800000000000000000000000000000000000000000000000

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