Finite Group Databasebeta

← Group #329543

Character table — Group #329543

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444442244442222444444888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ91111111111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-11-1
χ101111111111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11
χ111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11
χ121111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1
χ131111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-11-11
χ141111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-11-1
χ151111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-11-1-11
χ17222222222-222-2-22-222-2-2-2-222222-2-2-2-2-2000000000000000000000000
χ18222222222-222-2-22-222-2-2-2-2-2-2-2-22-22222000000000000000000000000
χ19222222222-222-2-22-2-2-2-2-22222-2-2-22-2-222000000000000000000000000
χ20222222222-222-2-22-2-2-2-2-222-2-222-2222-2-2000000000000000000000000
χ2122222222-22-2-222-2222-2-2220000-2-2000022-2-222-2-20000000000000000
χ2222222222-22-2-222-2222-2-2220000-2-20000-2-222-2-2220000000000000000
χ2322222222-22-2-222-22-2-2-2-2-2-2000022000022-2-2-2-2220000000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-20000220000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-20000-2200000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-20000-220000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-200000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-20000000000000000−2i2i2i−2i00000000
χ2922-2-22-22-202002-20-22-2002-20000000000002i−2i002i−2i2−2i2−i200002−2i2−i20000
χ3022-2-22-22-202002-20-22-2002-20000000000002i−2i002i−2i−22−i2i20000−22−i2i20000
χ3122-2-22-22-202002-20-22-2002-2000000000000−2i2i00−2i2i2−2−i2i200002−2−i2i20000
χ3222-2-22-22-202002-20-22-2002-2000000000000−2i2i00−2i2i−22i2−i20000−22i2−i20000
χ3322-2-22-22-202002-20-2-2200-220000000000002i−2i00−2i2i2−2i2−i20000−22−i2i20000
χ3422-2-22-22-202002-20-2-2200-220000000000002i−2i00−2i2i−22−i2i200002−2i2−i20000
χ3522-2-22-22-202002-20-2-2200-22000000000000−2i2i002i−2i2−2−i2i20000−22i2−i20000
χ3622-2-22-22-202002-20-2-2200-22000000000000−2i2i002i−2i−22i2−i200002−2−i2i20000
χ374444-4-4-4-4404-400-400000004-400000000000000000000000000000000
χ384444-4-4-4-4404-400-40000000-4400000000000000000000000000000000
χ394444-4-4-4-4-40-4400400000000000004i−4i00000000000000000000000000
χ404444-4-4-4-4-40-440040000000000000−4i4i00000000000000000000000000
χ4144-4-44-44-40-400-44044-400-440000000000000000000000000000000000
χ4244-4-44-44-40-400-4404-44004-40000000000000000000000000000000000
χ434-44-4-444-40400-440-4000000000000000000004i−4i000000000000000000
χ444-44-4-444-40400-440-400000000000000000000−4i4i000000000000000000
χ454-44-4-444-40-4004-40400000000000000004-40000000000000000000000
χ464-44-4-444-40-4004-4040000000000000000-440000000000000000000000
χ474-4-4444-4-440-4400-40000000000000004i−4i000000000000000000000000
χ484-4-4444-4-440-4400-4000000000000000−4i4i000000000000000000000000
χ494-4-4444-4-4-404-40040000000004-4000000000000000000000000000000
χ504-4-4444-4-4-404-4004000000000-44000000000000000000000000000000
χ514-4-44-4-44444-4-4-4-444004-4000000000000000000000000000000000000
χ524-4-44-4-4444-4-4-4444-400-44000000000000000000000000000000000000
χ534-4-44-4-444-4444-4-4-4400-44000000000000000000000000000000000000
χ544-4-44-4-444-4-44444-4-4004-4000000000000000000000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-88-8-88000000000000000000000000000000000000000000000000

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