Finite Group Databasebeta

← Group #500053

Character table — Group #500053

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444444444888888888888888888888816161616161616161632323232
order12222222222222244444422222444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111-1-1-1-111-1-1-1-1-11-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-11111
χ5111111111111111-1-1-1-11111111-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1
χ6111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ7111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-111111-1-111
χ8111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1111111-1-1
χ91111-1-1111-1-1-1111111111-111-1-1-1-111-111-1-1-1-11111-1-1-11-1-1111-1-11-11-1
χ101111-1-1111-1-1-1111111111-111-1-1-1-1-1-1-111-1-111-1-111111-11-1-111-1-1-11-11
χ111111-1-1111-1-1-1111111111-1-1-111-1-111-1-1-111-1-11111-1-1-11-1-11-1-111-11-11
χ121111-1-1111-1-1-1111111111-1-1-111-1-1-1-1-1-1-11111-1-111111-11-1-1-1-1111-11-1
χ131111-1-1111-1-1-1111-1-1-1-111-111-1-11111-111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-11
χ141111-1-1111-1-1-1111-1-1-1-111-111-1-111-1-1-111-1-11111-1-1-1-1-1111-1-1-111-111-1
χ151111-1-1111-1-1-1111-1-1-1-111-1-1-1111111-1-1-111-1-1-1-1-1-1111-1-11111-1-1-111-1
χ161111-1-1111-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-1-1111-111-1-11-1-11
χ17222222222222-2-222222-2-2-200002200-200000000-2-200000-2000000000
χ18222222222222-2-22-2-2-2-2-2-2-20000-2-200-20000000022000002000000000
χ1922222222-22-2-222-20000-2-2200000022-200002200000000-20-200000000
χ2022222222-22-2-222-20000-2-22000000-2-2-20000-2-20000000020200000000
χ2122222222-22-2-2-2-2-2000022-2000000002000000220022-2-200000000000
χ2222222222-22-2-2-2-2-2000022-2000000002000000-2-200-2-22200000000000
χ232222-2-2222-2-2-2-2-222222-2-220000-2-200200000000-2-2000002000000000
χ242222-2-2222-2-2-2-2-22-2-2-2-2-2-22000022002000000002200000-2000000000
χ252222-2-222-2-22222-20000-2-2-20000002220000-2-20000000020-200000000
χ262222-2-222-2-22222-20000-2-2-2000000-2-2200002200000000-20200000000
χ272222-2-222-2-222-2-2-2000022200000000-20000002200-2-22-200000000000
χ282222-2-222-2-222-2-2-2000022200000000-2000000-2-20022-2200000000000
χ292-2-22002-220002-2-22i2i−2i−2i2-20002-200000002-200002i−2i0000000002i−2i0000
χ302-2-22002-220002-2-22i2i−2i−2i2-2000-220000000-2200002i−2i000000000−2i2i0000
χ312-2-22002-220002-2-2−2i−2i2i2i2-20002-200000002-20000−2i2i000000000−2i2i0000
χ322-2-22002-220002-2-2−2i−2i2i2i2-2000-220000000-220000−2i2i0000000002i−2i0000
χ332-2-22002-22000-22-22i2i−2i−2i-2202-200000002-2000000−2i2i00000002i−2i000000
χ342-2-22002-22000-22-22i2i−2i−2i-220-220000000-22000000−2i2i0000000−2i2i000000
χ352-2-22002-22000-22-2−2i−2i2i2i-2202-200000002-20000002i−2i0000000−2i2i000000
χ362-2-22002-22000-22-2−2i−2i2i2i-220-220000000-220000002i−2i00000002i−2i000000
χ37444444-4-40-4000000000000222200000-2-2-2-2000000000000000000000
χ38444444-4-40-4000000000000-2-2-2-2000002222000000000000000000000
χ394444-4-4-4-40400000000000022-2-200000-2-222000000000000000000000
χ404444-4-4-4-404000000000000-2-2220000022-2-2000000000000000000000
χ4144-4-44-40000000002-22-200000002-22i−2i000002i−2i2i−2i002i−2i0000000000000
χ4244-4-44-40000000002-22-200000002-2−2i2i00000−2i2i−2i2i00−2i2i0000000000000
χ4344-4-44-4000000000-22-220000000-222i−2i000002i−2i−2i2i00−2i2i0000000000000
χ4444-4-44-4000000000-22-220000000-22−2i2i00000−2i2i2i−2i002i−2i0000000000000
χ4544-4-4-440000000002-22-20000000-222i−2i00000−2i2i2i−2i00−2i2i0000000000000
χ4644-4-4-440000000002-22-20000000-22−2i2i000002i−2i−2i2i002i−2i0000000000000
χ4744-4-4-44000000000-22-2200000002-22i−2i00000−2i2i−2i2i002i−2i0000000000000
χ4844-4-4-44000000000-22-2200000002-2−2i2i000002i−2i2i−2i00−2i2i0000000000000
χ494-4-44004-4-40004-440000-4400000000000000000000000000000000000
χ504-4-44004-4-4000-44400004-400000000000000000000000000000000000
χ514-4-4400-44004-400000000002-22-200000-22-22000000000000000000000
χ524-4-4400-44004-40000000000-22-22000002-22-2000000000000000000000
χ534-4-4400-4400-4400000000002-2-2200000-222-2000000000000000000000
χ544-4-4400-4400-440000000000-222-2000002-2-22000000000000000000000
χ558-88-8000000000004i−4i−4i4i0000000000000000000000000000000000000
χ568-88-800000000000−4i4i4i−4i0000000000000000000000000000000000000

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