Finite Group Databasebeta

← Group #503477

Character table — Group #503477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442222444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111-1-1-1-111111-1-1111-1-11111-1-1-1-111-1-111-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-11111-1-1
χ81111111111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-11-111111111111-1-1-1-1-111-1-111-1-11-11-11-1-11-111-1-111-1-11-1
χ10111111-1-11-111111111111-1-1-1-1-111-1-111-1-11-11-1-11-1-11-1-111-1-111-11
χ11111111-1-11-111111111111-1-1-1-1-1-1-111-1-111-11-111-1-11-1-1-111-1-1111-1
χ12111111-1-11-111111111111-1-1-1-1-1-1-111-1-111-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-1-111-111-111-1-1-1-111-11
χ14111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-1-11-111-11-1-11111-1-11-1
χ15111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111-11-111-1-1-11111-1-1-11
χ16111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111-1-111-1111-1-1-1-1111-1
χ1722222222222222-2-2-2-22-2-22-2-22200000000000000-2000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000002000000000000
χ1922222222-22000022-2-2-200-22-2000000222200-2-2000000000000000
χ2022222222-22000022-2-2-200-22-2000000-2-2-2-20022000000000000000
χ2122222222-220000-2-222-200-2-220022220000-2-200000000000000000
χ2222222222-220000-2-222-200-2-2200-2-2-2-200002200000000000000000
χ23222222-2-22-22222-2-2-2-22-2-2-222-2-2000000000000002000000000000
χ24222222-2-22-2-2-2-2-2-2-2-2-2222-2222200000000000000-2000000000000
χ25222222-2-2-2-2000022-2-2-2002-2200000022-2-200-22000000000000000
χ26222222-2-2-2-2000022-2-2-2002-22000000-2-222002-2000000000000000
χ27222222-2-2-2-20000-2-222-20022-20022-2-20000-2200000000000000000
χ28222222-2-2-2-20000-2-222-20022-200-2-22200002-200000000000000000
χ2922-2-2-22002022-2-22-22-2-22-20000000000000000000000002i−2i002i−2i00
χ3022-2-2-22002022-2-22-22-2-22-2000000000000000000000000−2i2i00−2i2i00
χ3122-2-2-22002022-2-2-22-22-2-2200000000000000000000002i−2i002i−2i0000
χ3222-2-2-22002022-2-2-22-22-2-220000000000000000000000−2i2i00−2i2i0000
χ3322-2-2-220020-2-2222-22-2-2-220000000000000000000000002i−2i00−2i2i00
χ3422-2-2-220020-2-2222-22-2-2-22000000000000000000000000−2i2i002i−2i00
χ3522-2-2-220020-2-222-22-22-22-200000000000000000000002i−2i00−2i2i0000
χ3622-2-2-220020-2-222-22-22-22-20000000000000000000000−2i2i002i−2i0000
χ374444-4-4440-40000000000000000000000000000220-2-20000000000
χ384444-4-4440-40000000000000000000000000000-2-20220000000000
χ394444-4-4-4-40400000000000000000000000000002-20-220000000000
χ404444-4-4-4-4040000000000000000000000000000-2202-20000000000
χ4144-4-4-4400-4000004-4-4440000000000000000000000000000000000
χ4244-4-4-4400-400000-444-440000000000000000000000000000000000
χ434-44-4004-4002-22-200000000002-22i−2i2i−2i2i−2i2i−2i0000000000000000000
χ444-44-4004-4002-22-200000000002-2−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ454-44-4004-400-22-220000000000-222i−2i2i−2i−2i2i−2i2i0000000000000000000
χ464-44-4004-400-22-220000000000-22−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ474-44-400-44002-22-20000000000-222i−2i−2i2i2i−2i−2i2i0000000000000000000
χ484-44-400-44002-22-20000000000-22−2i2i2i−2i−2i2i2i−2i0000000000000000000
χ494-44-400-4400-22-2200000000002-22i−2i−2i2i−2i2i2i−2i0000000000000000000
χ504-44-400-4400-22-2200000000002-2−2i2i2i−2i2i−2i−2i2i0000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-880000004-4-44000000000000000000000000000000000000000
χ538-8-88000000-444-4000000000000000000000000000000000000000

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