Finite Group Databasebeta

← Group #484698

Character table — Group #484698

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111111122224444888888888888888888881616161616161616161616161616161616161616
order12224444224422444444444444444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-111-11-1-1-111-1-111-1-111
χ111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-1-1-111-1-111
χ121111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-11-11-11-1-11111-1-111-1-1
χ131111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111-11-1-111-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-11-11-111-111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1111-11-11-1-11-1-111-1-11111-1-1
χ161111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-11-111-1-1111-1-111-1-1-1-111
χ172222222222222222-2-222220000-2-2-2-20000-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2000022220000-2-200000000000000000000
χ19222222222222-2-2-2-22-200000000000022222-20000-2-200000000000000
χ20222222222222-2-2-2-22-2000000000000-2-2-2-22-200002200000000000000
χ21222222222222-2-2-2-2-220000222200000000-22000000-2-2000000000000
χ22222222222222-2-2-2-2-220000-2-2-2-200000000-2200000022000000000000
χ232222-2-2-2-222-2-222-2-22222-2-20000-2-2220000-2-200000000000000000000
χ242222-2-2-2-222-2-222-2-222-2-222000022-2-20000-2-200000000000000000000
χ252222-2-2-2-222-2-2-2-2222-2000022-2-200000000-22000000-22000000000000
χ262222-2-2-2-222-2-2-2-2222-20000-2-22200000000-220000002-2000000000000
χ272222-2-2-2-222-2-2-2-222-2200000000000022-2-22-20000-2200000000000000
χ282222-2-2-2-222-2-2-2-222-22000000000000-2-2222-200002-200000000000000
χ2922-2-222-2-22-22-2-222-200000000002-22-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-2-222-2-22-22-2-222-200000000002-22-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-2-222-2-22-22-2-222-20000000000-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-2-222-2-22-22-2-222-20000000000-22-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-2-2-2-2222-2-22-22-2200000000002-2-22000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-2-2-2-2222-2-22-22-2200000000002-2-22000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-2-2-2-2222-2-22-22-220000000000-222-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-2-2-2-2222-2-22-22-220000000000-222-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3744444444-4-4-4-40000000000000000000000002-2-220000000000000000
χ3844444444-4-4-4-4000000000000000000000000-222-20000000000000000
χ394444-4-4-4-4-4-44400000000000000000000000022-2-20000000000000000
χ404444-4-4-4-4-4-444000000000000000000000000-2-2220000000000000000
χ4144-4-444-4-44-44-44-4-440000000000000000000000000000000000000000
χ4244-4-444-4-4-44-44000000000000000000000000000000002i−2i2i−2i00000000
χ4344-4-444-4-4-44-4400000000000000000000000000000000−2i2i−2i2i00000000
χ4444-4-4-4-4444-4-444-44-40000000000000000000000000000000000000000
χ4544-4-4-4-444-444-4000000000000000000000000000000002i−2i−2i2i00000000
χ4644-4-4-4-444-444-400000000000000000000000000000000−2i2i2i−2i00000000
χ474-44-44i−4i4i−4i00000000002-22i−2i2-22i−2i00002-22i−2i0000000000000000000000
χ484-44-44i−4i4i−4i00000000002-22i−2i-22−2i2i0000-22−2i2i0000000000000000000000
χ494-44-44i−4i4i−4i0000000000-22−2i2i2-22i−2i0000-22−2i2i0000000000000000000000
χ504-44-44i−4i4i−4i0000000000-22−2i2i-22−2i2i00002-22i−2i0000000000000000000000
χ514-44-4−4i4i−4i4i00000000002-2−2i2i2-2−2i2i00002-2−2i2i0000000000000000000000
χ524-44-4−4i4i−4i4i00000000002-2−2i2i-222i−2i0000-222i−2i0000000000000000000000
χ534-44-4−4i4i−4i4i0000000000-222i−2i2-2−2i2i0000-222i−2i0000000000000000000000
χ544-44-4−4i4i−4i4i0000000000-222i−2i-222i−2i00002-2−2i2i0000000000000000000000
χ558-8-888i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000

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