Finite Group Databasebeta

← Group #479778

Character table — Group #479778

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12442222222444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111
χ51111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ81111111111111111111111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ12111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ172222222-2-2-2-2-2-222-2-22000000000000002i−2i00002i−2i000000002-2
χ182222222-2-2-2-2-2-222-2-22000000000000002i−2i0000−2i2i00000000-22
χ192222222-2-2-2-2-2-222-2-2200000000000000−2i2i00002i−2i00000000-22
χ202222222-2-2-2-2-2-222-2-2200000000000000−2i2i0000−2i2i000000002-2
χ2122222-2-22-2-222-22-22-2-20000002-200000000000000002i−2i002i−2i00
χ2222222-2-22-2-222-22-22-2-20000002-20000000000000000−2i2i00−2i2i00
χ2322222-2-22-2-222-22-22-2-2000000-2200000000000000002i−2i00−2i2i00
χ2422222-2-22-2-222-22-22-2-2000000-220000000000000000−2i2i002i−2i00
χ252222-22-222-2-22-2-2-2-2220000000000002-2002i−2i000000002i−2i0000
χ262222-22-222-2-22-2-2-2-2220000000000002-200−2i2i00000000−2i2i0000
χ272222-22-222-2-22-2-2-2-222000000000000-22002i−2i00000000−2i2i0000
χ282222-22-222-2-22-2-2-2-222000000000000-2200−2i2i000000002i−2i0000
χ2922-2-22-2-2-222-22-2-222-2200002-200002i−2i0000002i−2i000000000000
χ3022-2-22-2-2-222-22-2-222-2200002-20000−2i2i000000−2i2i000000000000
χ3122-2-22-2-2-222-22-2-222-220000-2200002i−2i000000−2i2i000000000000
χ3222-2-22-2-2-222-22-2-222-220000-220000−2i2i0000002i−2i000000000000
χ3322-2-2-22-222-2-2-22222-2-22i2i−2i−2i00002i−2i0000000000002-200000000
χ3422-2-2-22-222-2-2-22222-2-22i2i−2i−2i0000−2i2i000000000000-2200000000
χ3522-2-2-22-222-2-2-22222-2-2−2i−2i2i2i00002i−2i000000000000-2200000000
χ3622-2-2-22-222-2-2-22222-2-2−2i−2i2i2i0000−2i2i0000000000002-200000000
χ3744444-4-4-444-4-444-4-44-400000000000000000000000000000000
χ384444-44-4-4-444-44-4-44-4400000000000000000000000000000000
χ394444-4-444-44-444-44-4-4-400000000000000000000000000000000
χ404444-4-44-44-44-4-4-4444-400000000000000000000000000000000
χ4144-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000
χ4244-4-4444-4-4-4-444-4-444-400000000000000000000000000000000
χ4344-4-44-4-44-4-44-44-44-44400000000000000000000000000000000
χ4444-4-4-44-4-4-4444-444-44-400000000000000000000000000000000
χ4544-4-4-4-444-44-4-4-44-444400000000000000000000000000000000
χ4644-4-4-4-44-44-44444-4-4-4400000000000000000000000000000000
χ478-88i−8i000000000000002+2i−2−2i2−2i−2+2i0000000000000000000000000000
χ488-88i−8i00000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000000000
χ498-8−8i8i000000000000002−2i−2+2i2+2i−2−2i0000000000000000000000000000
χ508-8−8i8i00000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000000

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