Finite Group Databasebeta

← Group #333040

Character table — Group #333040

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224448888888888888888881616161616161616161616161632323232
order12222244444444444444444448888888844444888888882488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1
χ51111111111111111111-1-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-11-11-1
χ61111111111111111111-1-1-1-1-1-111111111-11-1-11-1-111-1-1-1-1-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1111111-111-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-11
χ9111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-11-1-1
χ10111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11111-1-11-111
χ11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1
χ12111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-1-111-1111
χ13111111111111111-1-1-1-1-1-111111111-1-1-1-11-1-11-11111-1-111-1-1-11
χ14111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1-1-1-111111-1
χ15111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-111-1-111-11
χ16111111111111111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111111-1-1-1-11-1
χ17222222-2-22222-2-2-222-2-22222-2-20000000000-200000000000000
χ18222222-2-22222-2-2-222-2-2-2-2-2-2220000000000200000000000000
χ19222222-2-22222-2-2-2-2-22222-2-2220000000000-200000000000000
χ20222222-2-22222-2-2-2-2-222-2-222-2-20000000000200000000000000
χ212222-2-22222-2-2-22-20000000000000022-2-20200-2002-200000000
χ222222-2-22222-2-2-22-20000000000000022-2-20-200200-2200000000
χ232222-2-22222-2-2-22-200000000000000-2-2220200-200-2200000000
χ242222-2-22222-2-2-22-200000000000000-2-2220-2002002-200000000
χ252222-2-222-2-222-2-22000000000022-2-20000200-202-20000000000
χ262222-2-222-2-222-2-22000000000022-2-20000-20020-220000000000
χ272222-2-222-2-222-2-220000000000-2-2220000200-20-220000000000
χ282222-2-222-2-222-2-220000000000-2-2220000-200202-20000000000
χ292-22-22-2002-22-2000002-22-2002-2i2−i2i2−i2i2−i2i2−i2000000000i2−i2i2−i20000
χ302-22-22-2002-22-2000002-22-2002-2−i2i2−i2i2−i2i2−i2i2000000000−i2i2−i2i20000
χ312-22-22-2002-22-2000002-2-2200-22i2−i2i2−i2i2−i2i2−i2000000000−i2i2−i2i20000
χ322-22-22-2002-22-2000002-2-2200-22−i2i2−i2i2−i2i2−i2i2000000000i2−i2i2−i20000
χ332-22-22-2002-22-200000-222-200-22i2−i2i2−i2−i2i2−i2i2000000000i2−i2−i2i20000
χ342-22-22-2002-22-200000-222-200-22−i2i2−i2i2i2−i2i2−i2000000000−i2i2i2−i20000
χ352-22-22-2002-22-200000-22-22002-2i2−i2i2−i2−i2i2−i2i2000000000−i2i2i2−i20000
χ362-22-22-2002-22-200000-22-22002-2−i2i2−i2i2i2−i2i2−i2000000000i2−i2−i2i20000
χ3744444444-4-4-4-44-4-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ394444-4-4-4-444-4-44-4400000000000000000000000000000000000
χ404444-4-4-4-4-4-44444-400000000000000000000000000000000000
χ414-44-44-400-44-440004i−4i000000000000000000000000000000000
χ424-44-44-400-44-44000−4i4i000000000000000000000000000000000
χ434-44-4-44004-4-44000000000000000002i2−2i2−2i22i200000000000000000
χ444-44-4-44004-4-4400000000000000000−2i22i22i2−2i200000000000000000
χ454-44-4-4400-444-400000000000002i2−2i2−2i22i2000000000000000000000
χ464-44-4-4400-444-40000000000000−2i22i22i2−2i2000000000000000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ4888-8-800-88000000000000000000000000000000000000000000
χ498-8-88000000000000000004i−4i000000000000000000000000000
χ508-8-8800000000000000000−4i4i000000000000000000000000000

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