Finite Group Databasebeta

← Group #281506

Character table — Group #281506

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-11
χ511111111111111111111-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-11-1
χ711111111111111111111-1-111-1-11111111111111-1-1-1-11-1-11111-1-1-1-1-1-1
χ811111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ9111111111111111111-1-111-1-111111111111111-11-1-11-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111
χ11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1-1-1111-1
χ13111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1111-1-1111111-1-1
χ17222222222-222-2-2-22-2-22200-2-2000022-2-200000020000-2000000000000
χ18222222222-222-2-2-22-2-22200-2-20000-2-222000000-200002000000000000
χ19222222222-222-2-2-22-2-2-2-20022000022-2-2000000-200002000000000000
χ20222222222-222-2-2-22-2-2-2-200220000-2-22200000020000-2000000000000
χ2122222222-22-2-2222-2-2-200220022220000-2-200000-200-20000000000000
χ2222222222-22-2-2222-2-2-2002200-2-2-2-200002200000200-20000000000000
χ2322222222-22-2-2222-2-2-200-2-20022-2-200002200000-20020000000000000
χ2422222222-22-2-2222-2-2-200-2-200-2-2220000-2-20000020020000000000000
χ2522-2-22-22-222-2-2-22-22-222i−2i002i−2i000000000022-2-200000000002i−2i000000
χ2622-2-22-22-222-2-2-22-22-222i−2i002i−2i0000000000-2-2220000000000−2i2i000000
χ2722-2-22-22-222-2-2-22-22-22−2i2i00−2i2i000000000022-2-20000000000−2i2i000000
χ2822-2-22-22-222-2-2-22-22-22−2i2i00−2i2i0000000000-2-22200000000002i−2i000000
χ2922-2-22-22-22-2-2-22-2222-22i−2i00−2i2i002-200002-20000000000002i−2i00000000
χ3022-2-22-22-22-2-2-22-2222-22i−2i00−2i2i00-220000-22000000000000−2i2i00000000
χ3122-2-22-22-22-2-2-22-2222-2−2i2i002i−2i002-200002-2000000000000−2i2i00000000
χ3222-2-22-22-22-2-2-22-2222-2−2i2i002i−2i00-220000-220000000000002i−2i00000000
χ3322-2-22-22-2-2-2222-22-2-22000000002-20000-220000002i−2i002i−2i0000000000
χ3422-2-22-22-2-2-2222-22-2-22000000002-20000-22000000−2i2i00−2i2i0000000000
χ3522-2-22-22-2-2-2222-22-2-2200000000-2200002-20000002i−2i00−2i2i0000000000
χ3622-2-22-22-2-2-2222-22-2-2200000000-2200002-2000000−2i2i002i−2i0000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-4-4-44404-4000-400000000000000000022−2222−22000000000000000000
χ39444-4-4-4-44404-4000-4000000000000000000−2222−2222000000000000000000
χ40444-4-4-4-44-40-440004000000000000004i−4i000000000000000000000000
χ41444-4-4-4-44-40-44000400000000000000−4i4i000000000000000000000000
χ4244-44-44-4-440-44000-400000000000000000022−22−2222000000000000000000
χ4344-44-44-4-440-44000-4000000000000000000−222222−22000000000000000000
χ4444-44-44-4-4-404-400040000000000004i−4i00000000000000000000000000
χ4544-44-44-4-4-404-40004000000000000−4i4i00000000000000000000000000
χ4644-4-44-44-4-4444-44-4-44-400000000000000000000000000000000000000
χ474-44-4-444-40400-4-44000004i−4i0000000000000000000000000000000000
χ484-44-4-444-40400-4-4400000−4i4i0000000000000000000000000000000000
χ494-44-4-444-40-40044-4000000000000000000000000000000000002i2−2i20000
χ504-44-4-444-40-40044-400000000000000000000000000000000000−2i22i20000
χ514-4-44-4-44404004-4-400000000000000000000000000000000000002i2−2i200
χ524-4-44-4-44404004-4-40000000000000000000000000000000000000−2i22i200
χ534-4-44-4-4440-400-4440000000004-4000000000000000000000000000000
χ544-4-44-4-4440-400-444000000000-44000000000000000000000000000000
χ558-8888-8-8-8000000000000000000000000000000000000000000000000
χ568-8-8-888-88000000000000000000000000000000000000000000000000

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