Finite Group Databasebeta

← Group #486141

Character table — Group #486141

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222222444444442224444444444442444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-111-1-1111-111-11-11-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ5111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-111-111-111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ7111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-11-1-11-1-1-1-11111-1-1-1-111
χ91111-1-111-111-1-1-1-11111-111-1-1-1-111-1-1-1-1111-1-1-11111-111-1-111-1-11-1
χ101111-1-111-111-1-1-1-11111-111-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-11
χ111111-1-111-111-1-1-1-11111-1-1-111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-1111-1
χ121111-1-111-111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1111-1-1-11111-1-111-1-1-11
χ131111-1-111-111-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-111-1-111-1-1-1-111-11
χ141111-1-111-111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1111-1-11-1-1-1-11111-1-11-1
χ151111-1-111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-11-1-11111-1-1-11
χ161111-1-111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1111-1-1-1-1111-1
χ1722222222222-2-2-2-22222200002200-2-200-2-20000000-200000000000
χ1822222222222-2-2-2-2-2-2-2-220000-2-2002200-2-20000000200000000000
χ19222222222-2-222-2-20000-20000002200222-20-200-200000000000000
χ20222222222-2-222-2-20000-2000000-2-200-2-22-20200200000000000000
χ21222222222-2-2-2-2220000-2222200000000-22000000-20-20000000000
χ22222222222-2-2-2-2220000-2-2-2-2-200000000-220000002020000000000
χ232222-2-222-22222222222-20000-2-2002200-2-20000000-200000000000
χ242222-2-222-2222222-2-2-2-2-200002200-2-200-2-20000000200000000000
χ252222-2-222-2-2-222-2-20000222-2-200000000-22000000-2020000000000
χ262222-2-222-2-2-222-2-200002-2-22200000000-2200000020-20000000000
χ272222-2-222-2-2-2-2-222000020000002200-2-22-20200-200000000000000
χ282222-2-222-2-2-2-2-22200002000000-2-200222-20-200200000000000000
χ292-2-22002-202-22i−2i2i−2i22-2-20000000002i−2i00000000000002−2i2−i22−2i2−i200
χ302-2-22002-202-22i−2i2i−2i22-2-20000000002i−2i0000000000000−22−i2i2−22−i2i200
χ312-2-22002-202-22i−2i2i−2i-2-222000000000−2i2i00000000000002−2i2−i2−22−i2i200
χ322-2-22002-202-22i−2i2i−2i-2-222000000000−2i2i0000000000000−22−i2i22−2i2−i200
χ332-2-22002-202-2−2i2i−2i2i22-2-2000000000−2i2i00000000000002−2−i2i22−2−i2i200
χ342-2-22002-202-2−2i2i−2i2i22-2-2000000000−2i2i0000000000000−22i2−i2−22i2−i200
χ352-2-22002-202-2−2i2i−2i2i-2-2220000000002i−2i00000000000002−2−i2i2−22i2−i200
χ362-2-22002-202-2−2i2i−2i2i-2-2220000000002i−2i0000000000000−22i2−i22−2−i2i200
χ37444444-4-4-40000000000000000000000000202-20-20000000000000
χ38444444-4-4-40000000000000000000000000-20-22020000000000000
χ394444-4-4-4-44000000000000000000000000020-220-20000000000000
χ404444-4-4-4-440000000000000000000000000-202-2020000000000000
χ4144-4-44-40000000002i−2i2i−2i02-22-22i−2i2i−2i002i−2i000000000000000000000
χ4244-4-44-40000000002i−2i2i−2i0-22-222i−2i−2i2i00−2i2i000000000000000000000
χ4344-4-44-4000000000−2i2i−2i2i02-22-2−2i2i−2i2i00−2i2i000000000000000000000
χ4444-4-44-4000000000−2i2i−2i2i0-22-22−2i2i2i−2i002i−2i000000000000000000000
χ4544-4-4-440000000002i−2i2i−2i02-2-22−2i2i2i−2i00−2i2i000000000000000000000
χ4644-4-4-440000000002i−2i2i−2i0-222-2−2i2i−2i2i002i−2i000000000000000000000
χ4744-4-4-44000000000−2i2i−2i2i02-2-222i−2i−2i2i002i−2i000000000000000000000
χ4844-4-4-44000000000−2i2i−2i2i0-222-22i−2i2i−2i00−2i2i000000000000000000000
χ494-4-44004-40-444i−4i−4i4i00000000000000000000000000000000000000
χ504-4-44004-40-44−4i4i4i−4i00000000000000000000000000000000000000
χ518-88-8000000000004i−4i−4i4i0000000000000000000000000000000000
χ528-88-800000000000−4i4i4i−4i0000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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