Finite Group Databasebeta

← Group #318844

Character table — Group #318844

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ91111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-11-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-11-1-111-1-111-1-111
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-111-1-1-1-111-1-111
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-11-1-11111-1-111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-1111-1-1-11111-1-1-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1111-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-11-1-1-111-1-11111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1111-1-111-1-1-1-111
χ172222222222-2-2-2-22222-2-222-2-20000000000002-20000-22000000000000
χ182222222222-2-2-2-22222-2-222-2-2000000000000-2200002-2000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-222000000000000220000-2-2000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-222000000000000-2-2000022000000000000
χ2122222222-2-22222-2-222-2-2-2-22-222-2-222-2-2000000000000000000000000
χ2222222222-2-22222-2-222-2-2-2-22-2-2-222-2-222000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2222-2-2-2-222000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-222-22-2-22222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-22000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-200000000000000000000−2i2i2i−2i00000000
χ2922-2-222-2-22222-2-2-2-2002-200002-22-200002-22-200000000000000000000
χ3022-2-222-2-22222-2-2-2-2002-200002-22-20000-22-2200000000000000000000
χ3122-2-222-2-22222-2-2-2-2002-20000-22-2200002-2-2200000000000000000000
χ3222-2-222-2-22222-2-2-2-2002-20000-22-220000-222-200000000000000000000
χ3322-2-222-2-2-2-222-2-22200-2200002-2-2200000000002i−2i2i−2i00000000000000
χ3422-2-222-2-2-2-222-2-22200-2200002-2-220000000000−2i2i−2i2i00000000000000
χ3522-2-222-2-2-2-222-2-22200-220000-222-200000000002i−2i−2i2i00000000000000
χ3622-2-222-2-2-2-222-2-22200-220000-222-20000000000−2i2i2i−2i00000000000000
χ37444-4-4-44-44-400004-400000000000022−2222−22000000000000000000000000
χ38444-4-4-44-44-400004-4000000000000−2222−2222000000000000000000000000
χ39444-4-4-44-4-440000-4400000000000022−22−2222000000000000000000000000
χ40444-4-4-44-4-440000-44000000000000−222222−22000000000000000000000000
χ4144-44-4-4-444-40000-444i−4i004i−4i0000000000000000000000000000000000
χ4244-44-4-4-444-40000-44−4i4i00−4i4i0000000000000000000000000000000000
χ4344-44-4-4-44-4400004-44i−4i00−4i4i0000000000000000000000000000000000
χ4444-44-4-4-44-4400004-4−4i4i004i−4i0000000000000000000000000000000000
χ4544-4-444-4-444-4-444-4-400-44000000000000000000000000000000000000
χ4644-4-444-4-4-4-4-4-44444004-4000000000000000000000000000000000000
χ474-4444-4-4-4004-44-40000000000000000000000000000000000000022−2200
χ484-4444-4-4-4004-44-400000000000000000000000000000000000000−222200
χ494-4444-4-4-400-44-44000000000000000000000000000000000000000022−22
χ504-4444-4-4-400-44-440000000000000000000000000000000000000000−2222
χ514-4-4-44-444004-4-44000000000000000000000000000000000022−22000000
χ524-4-4-44-444004-4-440000000000000000000000000000000000−2222000000
χ534-4-4-44-44400-444-400000000000000000000000000000000000022−220000
χ544-4-4-44-44400-444-4000000000000000000000000000000000000−22220000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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