Finite Group Databasebeta

← Group #503600

Character table — Group #503600

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ51111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-111
χ9111111-1-11-1111111111-1-1-111-1-111-1-111-1-11-1-11-11-11-111-1-111-1-11-1
χ10111111-1-11-1111111111-1-1-111-1-111-1-111-1-1-11-11-11-1-11-1-111-1-111-11
χ11111111-1-11-1111111111-1-1-111-1-1-1-111-1-1111-1-1-11-111-1-1-111-1-1111-1
χ12111111-1-11-1111111111-1-1-111-1-1-1-111-1-111-11-1-11-11-1111-1-111-1-1-11
χ13111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-111-1-111-111-1-1-1-111-11
χ14111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1111-1-11-11-1-11111-1-11-1
χ15111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-11-111-11-1-1-11111-1-1-11
χ16111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111-111-1-1111-1-1-1-1111-1
χ1722222222222222-2-2-2-222-2-2-2-2220000000000-20000000000000000
χ182222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000020000000000000000
χ1922222222-22000022-2-2-2-22-200000000222200000-2-2000000000000
χ2022222222-22000022-2-2-2-22-200000000-2-2-2-20000022000000000000
χ2122222222-220000-2-222-2-2-22000022220000000-2-200000000000000
χ2222222222-220000-2-222-2-2-220000-2-2-2-200000002200000000000000
χ23222222-2-22-22222-2-2-2-22-222-2-2-2-2000000000020000000000000000
χ24222222-2-22-2-2-2-2-2-2-2-2-22-22222220000000000-20000000000000000
χ25222222-2-2-2-2000022-2-2-22-220000000022-2-200000-22000000000000
χ26222222-2-2-2-2000022-2-2-22-2200000000-2-222000002-2000000000000
χ27222222-2-2-2-20000-2-222-222-2000022-2-20000000-2200000000000000
χ28222222-2-2-2-20000-2-222-222-20000-2-22200000002-200000000000000
χ292-22-22-200-2022-2-22-22-220002-20000000000000000000002i−2i002i−2i00
χ302-22-22-200-2022-2-22-22-220002-2000000000000000000000−2i2i00−2i2i00
χ312-22-22-200-2022-2-2-22-222000-2200000000000000000002i−2i002i−2i0000
χ322-22-22-200-2022-2-2-22-222000-220000000000000000000−2i2i00−2i2i0000
χ332-22-22-200-20-2-2222-22-22000-220000000000000000000002i−2i00−2i2i00
χ342-22-22-200-20-2-2222-22-22000-22000000000000000000000−2i2i002i−2i00
χ352-22-22-200-20-2-222-22-2220002-200000000000000000002i−2i00−2i2i0000
χ362-22-22-200-20-2-222-22-2220002-20000000000000000000−2i2i002i−2i0000
χ374444-4-4440-40000000000000000000000002200000-2-20000000000
χ384444-4-4440-4000000000000000000000000-2-200000220000000000
χ394444-4-4-4-4040000000000000000000000002-200000-220000000000
χ404444-4-4-4-404000000000000000000000000-22000002-20000000000
χ414-44-44-4004000004-4-44-40000000000000000000000000000000000
χ424-44-44-400400000-444-4-40000000000000000000000000000000000
χ434-4-44004-4002-22-200000000002-22i−2i2i−2i2i−2i2i−2i0000000000000000000
χ444-4-44004-4002-22-200000000002-2−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ454-4-44004-400-22-220000000000-222i−2i2i−2i−2i2i−2i2i0000000000000000000
χ464-4-44004-400-22-220000000000-22−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ474-4-4400-44002-22-20000000000-222i−2i−2i2i2i−2i−2i2i0000000000000000000
χ484-4-4400-44002-22-20000000000-22−2i2i2i−2i−2i2i2i−2i0000000000000000000
χ494-4-4400-4400-22-2200000000002-22i−2i−2i2i−2i2i2i−2i0000000000000000000
χ504-4-4400-4400-22-2200000000002-2−2i2i2i−2i2i−2i−2i2i0000000000000000000
χ5188-8-80000004-4-44000000000000000000000000000000000000000
χ5288-8-8000000-444-4000000000000000000000000000000000000000
χ538-88-8-8800000000000000000000000000000000000000000000000

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