Finite Group Databasebeta

← Group #502705

Character table — Group #502705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222222224444442244444444444442444444444444888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-111-1-11-111-11-11-1-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ51111111111111-1-1-1-11111-1-111111-1-1-1-1-1-11-111-111-111111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ71111111111111-1-1-1-11111-1-1-1-11-1-111-1-111111111-1-1-1-1-1-1-11111-1-1
χ81111111111111-1-1-1-11111-1-1-1-11-1-111-1-111-11-1-11-1-1-1-11111-1-1-1-111
χ91111-1-1111-1111111111-1-1-1-111-1-1-11111-1-11-1-1-111-1-1111-1-111-1-11-1
χ101111-1-1111-1111111111-1-1-1-111-1-1-11111-1-1-1-1111-1-1-11-1-111-1-111-11
χ111111-1-1111-1111111111-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-1111-1
χ121111-1-1111-1111111111-1-1-1-1-1-1-111-1-11111-1111-1-11-1-111-1-111-1-1-11
χ131111-1-1111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1-11-11111-1-1-1-111-11
χ141111-1-1111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1111-1-1-111-1-11111-1-11-1
χ151111-1-1111-1111-1-1-1-111-1-111-1-1-11111-1-1-1-11-1-1-11111-1-1-11111-1-1-11
χ161111-1-1111-1111-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1111-111-111-1-1-1-1111-1
χ172222222222-2-220000-2-22-20022-222000000000000-20-20000000000
χ182222222222-2-220000-2-22-200-2-2-2-2-20000000000002020000000000
χ1922222222-2222-22222-2-2-222200-20000-2-2000000000-200000000000
χ2022222222-2222-2-2-2-2-2-2-2-22-2-200-2000022000000000200000000000
χ2122222222-22-2-2-2000022-2-200002002200220-200-200000000000000
χ2222222222-22-2-2-2000022-2-20000200-2-200-2-20200200000000000000
χ232222-2-2222-2-2-220000-2-2-2200222-2-200000000000020-20000000000
χ242222-2-2222-2-2-220000-2-2-2200-2-2222000000000000-2020000000000
χ252222-2-222-2-222-22222-2-22-2-2-20020000-2-2000000000200000000000
χ262222-2-222-2-222-2-2-2-2-2-2-22-222002000022000000000-200000000000
χ272222-2-222-2-2-2-2-2000022220000-2002200-2-20200-200000000000000
χ282222-2-222-2-2-2-2-2000022220000-200-2-200220-200200000000000000
χ292-2-22002-2202-2-22i2i−2i−2i-22000000000002i−2i000000000002i−2i002-20000
χ302-2-22002-2202-2-22i2i−2i−2i-22000000000002i−2i00000000000−2i2i00-220000
χ312-2-22002-2202-2-2−2i−2i2i2i-2200000000000−2i2i000000000002i−2i00-220000
χ322-2-22002-2202-2-2−2i−2i2i2i-2200000000000−2i2i00000000000−2i2i002-20000
χ332-2-22002-2-202-222i2i−2i−2i2-200000000000−2i2i00000000000002-2002i−2i00
χ342-2-22002-2-202-222i2i−2i−2i2-200000000000−2i2i0000000000000-2200−2i2i00
χ352-2-22002-2-202-22−2i−2i2i2i2-2000000000002i−2i00000000000002-200−2i2i00
χ362-2-22002-2-202-22−2i−2i2i2i2-2000000000002i−2i0000000000000-22002i−2i00
χ37444444-4-40-4000000000000000000000000202-20-20000000000000
χ38444444-4-40-4000000000000000000000000-20-22020000000000000
χ394444-4-4-4-40400000000000000000000000020-220-20000000000000
χ404444-4-4-4-404000000000000000000000000-202-2020000000000000
χ4144-4-44-400000002-22-200002-22i−2i02i−2i2i−2i002i−2i0000000000000000000
χ4244-4-44-400000002-22-200002-2−2i2i0−2i2i−2i2i00−2i2i0000000000000000000
χ4344-4-44-40000000-22-220000-222i−2i02i−2i−2i2i00−2i2i0000000000000000000
χ4444-4-44-40000000-22-220000-22−2i2i0−2i2i2i−2i002i−2i0000000000000000000
χ4544-4-4-4400000002-22-20000-222i−2i0−2i2i2i−2i00−2i2i0000000000000000000
χ4644-4-4-4400000002-22-20000-22−2i2i02i−2i−2i2i002i−2i0000000000000000000
χ4744-4-4-440000000-22-2200002-22i−2i0−2i2i−2i2i002i−2i0000000000000000000
χ4844-4-4-440000000-22-2200002-2−2i2i02i−2i2i−2i00−2i2i0000000000000000000
χ494-4-44004-440-44-400004-40000000000000000000000000000000000
χ504-4-44004-4-40-4440000-440000000000000000000000000000000000
χ518-88-80000000004i−4i−4i4i000000000000000000000000000000000000
χ528-88-8000000000−4i4i4i−4i000000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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