Finite Group Databasebeta

← Group #314596

Character table — Group #314596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1111-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-1-1-1-11
χ511111111111111111111-1-11111-1-111-1-111-1-1-1-11-1111-1-1111-1-1-1-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-11-1-111-1-1111-1
χ711111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ9111111111111111111-1-11111-1-1111111111111-11-1-1-1-1-1111-1-1-1-111-1-1
χ10111111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111
χ11111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-111-1-1-1-1-1111111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-11-1
χ13111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111111111-1-11-1
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-1-1-11111-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111111-11111-1-111-1-1
χ17222222222-22-22-22-2-2-2220000-2-2002200-2-2000020-2000000000000000
χ18222222222-22-22-22-2-2-2220000-2-200-2-200220000-202000000000000000
χ19222222222-22-22-22-2-2-2-2-2000022002200-2-20000-202000000000000000
χ20222222222-22-22-22-2-2-2-2-200002200-2-20022000020-2000000000000000
χ2122222222-22-22-22-22-2-200222200-2-200220000000-200000-20000000000
χ2222222222-22-22-22-22-2-20022-2-2002200-2-20000000-20000020000000000
χ2322222222-22-22-22-22-2-200-2-222002200-2-20000000200000-20000000000
χ2422222222-22-22-22-22-2-200-2-2-2-200-2-20022000000020000020000000000
χ2522-2-2-22-2222-2-222-2-2-222-200002-22i−2i002i−2i0000000000000000002i−2i0000
χ2622-2-2-22-2222-2-222-2-2-222-200002-2−2i2i00−2i2i000000000000000000−2i2i0000
χ2722-2-2-22-2222-2-222-2-2-22-220000-222i−2i002i−2i000000000000000000−2i2i0000
χ2822-2-2-22-2222-2-222-2-2-22-220000-22−2i2i00−2i2i0000000000000000002i−2i0000
χ2922-2-2-22-222-2-222-2-222-22-20000-22000000002i2i−2i−2i00000000002i−2i000000
χ3022-2-2-22-222-2-222-2-222-22-20000-2200000000−2i−2i2i2i0000000000−2i2i000000
χ3122-2-2-22-222-2-222-2-222-2-2200002-2000000002i2i−2i−2i0000000000−2i2i000000
χ3222-2-2-22-222-2-222-2-222-2-2200002-200000000−2i−2i2i2i00000000002i−2i000000
χ3322-2-2-22-22-222-2-222-22-2000000002i−2i00−2i2i0000000002-22i−2i00000000000
χ3422-2-2-22-22-222-2-222-22-2000000002i−2i00−2i2i000000000-22−2i2i00000000000
χ3522-2-2-22-22-222-2-222-22-200000000−2i2i002i−2i0000000002-2−2i2i00000000000
χ3622-2-2-22-22-222-2-222-22-200000000−2i2i002i−2i000000000-222i−2i00000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-44-4-4-440-40-404000000000000000004-40000000000000000000000
χ39444-44-4-4-440-40-40400000000000000000-440000000000000000000000
χ40444-44-4-4-4-404040-4000000000000000000022−2222−22000000000000000000
χ41444-44-4-4-4-404040-40000000000000000000−2222−2222000000000000000000
χ4244-44-4-44-44040-40-400000000000004-400000000000000000000000000
χ4344-44-4-44-44040-40-40000000000000-4400000000000000000000000000
χ4444-44-4-44-4-40-4040400000000000000000002i2−2i2−2i22i2000000000000000000
χ4544-44-4-44-4-40-404040000000000000000000−2i22i22i2−2i2000000000000000000
χ4644-4-4-44-44-4-444-4-444-4400000000000000000000000000000000000000
χ474-44-4-4-44404040-40-40000004i−4i00000000000000000000000000000000
χ484-44-4-4-44404040-40-4000000−4i4i00000000000000000000000000000000
χ494-44-4-4-4440-40-4040400000000000000000000000000000022−2200000000
χ504-44-4-4-4440-40-40404000000000000000000000000000000−222200000000
χ514-4-444-4-44040-40-40400004i−4i0000000000000000000000000000000000
χ524-4-444-4-44040-40-4040000−4i4i0000000000000000000000000000000000
χ534-4-444-4-440-404040-40000000000000000000000000000000000002i2−2i200
χ544-4-444-4-440-404040-4000000000000000000000000000000000000−2i22i200
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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