Finite Group Databasebeta

← Group #504385

Character table — Group #504385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444448888888888888161616161616161616161616161616161616163232
order1222224444888888244444888888822244444888161616161616161644
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111111-1-111-1-11-1-11111-1111-11-1-1-1-1-11111-1-1-1-11-1
χ61111111111111111-1-111-1-11-1-11111-1-1-11-1111-1-1-1-1-1-1-11111-11
χ71111111111111111-1-111-1-11-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-111111-1
χ81111111111111111-1-111-1-11-1-1-1-1-1-11-1-1-11-111-1111111-1-1-1-1-11
χ91111111111-1-1111111-1-1-1-1-1-1-11111-111-1-1-1-1-111111-1-111-1-1-11
χ101111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1111-1
χ111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-111-11
χ121111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-111-1-11-1
χ131111111111-1-11111-1-1-1-111-1111111111-11-111-1-1-111-1-1-1-111-1-1
χ141111111111-1-11111-1-1-1-111-11111111-1-1-11-1-1-1-1-1-1-1-11111-1-111
χ151111111111-1-11111-1-1-1-111-111-1-1-1-1-1111-1111-111-1-11111-1-1-1-1
χ161111111111-1-11111-1-1-1-111-111-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ17222222222222-2-2-2-222-2-2-2-2222000000000000-2000000000000
χ18222222222222-2-2-2-2-2-2-2-2222-2-20000000000002000000000000
χ192222222222-2-2-2-2-2-2222222-2-2-2000000000000-2000000000000
χ202222222222-2-2-2-2-2-2-2-222-2-2-2220000000000002000000000000
χ212222-2-22-22-2002-2-2200002i−2i02i−2i2i2i−2i−2i2000-20000000000000000
χ222222-2-22-22-2002-2-2200002i−2i02i−2i−2i−2i2i2i-200020000000000000000
χ232222-2-22-22-2002-2-220000−2i2i0−2i2i2i2i−2i−2i-200020000000000000000
χ242222-2-22-22-2002-2-220000−2i2i0−2i2i−2i−2i2i2i2000-20000000000000000
χ252222-2-22-22-200-222-200002i−2i0−2i2i000000020-20002i−2i0000000000
χ262222-2-22-22-200-222-200002i−2i0−2i2i0000000-202000−2i2i0000000000
χ272222-2-22-22-200-222-20000−2i2i02i−2i000000020-2000−2i2i0000000000
χ282222-2-22-22-200-222-20000−2i2i02i−2i0000000-2020002i−2i0000000000
χ292-22-22-2-222-200-22-220000000002i−2i2i−2i0000002i−2i0000000002-200
χ302-22-22-2-222-200-22-220000000002i−2i2i−2i000000−2i2i000000000-2200
χ312-22-22-2-222-200-22-22000000000−2i2i−2i2i0000002i−2i000000000-2200
χ322-22-22-2-222-200-22-22000000000−2i2i−2i2i000000−2i2i0000000002-200
χ332-22-2-22-2-22200-2-2220000000002-2-2202-2000000002-200000000
χ342-22-2-22-2-22200-2-2220000000002-2-220-2200000000-2200000000
χ352-22-2-22-2-22200-2-222000000000-222-202-200000000-2200000000
χ362-22-2-22-2-22200-2-222000000000-222-20-22000000002-200000000
χ37444444-4-4-4-40000004-400000000000000000000000000000000
χ38444444-4-4-4-4000000-4400000000000000000000000000000000
χ394444-4-4-44-44440000000000-4000000000000000000000000000
χ404444-4-4-44-44-4-400000000004000000000000000000000000000
χ414-44-44-44-4-44000000000000000000000000000000002i2−2i2000000
χ424-44-44-44-4-4400000000000000000000000000000000−2i22i2000000
χ434-44-44-4-444-4004-44-40000000000000000000000000000000000
χ444-44-4-4444-4-400000000000000000000000000000000002i2−2i20000
χ454-44-4-4444-4-40000000000000000000000000000000000−2i22i20000
χ464-44-4-44-4-4440044-4-40000000000000000000000000000000000
χ4788-8-80000004i2−4i200000000000000000000000000000000000000
χ4888-8-8000000−4i24i200000000000000000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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