Finite Group Databasebeta

← Group #263172

Character table — Group #263172

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444488888881616161616161616161616161616161616161616161616161616
order12222244444444488244488822244444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111
χ511111111111111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111111-1-1-1-111111-1-1-1-1-111-111-111-1-1-11111-1-1-1-1
χ711111111111111111-1-1-1-1111-1-111111-1-11-1-1-1-1-1-1111111-1-1-1-1
χ811111111111111111-1-1-1-1111-1-1111-1-1-1-1111-111-1-1-1-1-1-1-11111
χ9111111111111111-1-11111-1-1-111-11111-1-1-1-1-1-111-1-1-111-1-111-1-1
χ10111111111111111-1-11111-1-1-111-111-1-1-1-1-111-1-1-1-111-1-111-1-111
χ11111111111111111-1-11111-1-1-1-1-11-1-111111-1-1-111-1-1-1-1-111-1-111
χ12111111111111111-1-11111-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-11-1-1-1-11111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-11-1-111-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-11111-1-1
χ17222222-2222-22-2-2-2222-2-222-2-2000000000000-20020000000000
χ18222222-2222-22-2-2-222-222-22-2-2000000000000200-20000000000
χ19222222-2222-22-2-2-2-2-22-2-22-222000000000000200-20000000000
χ20222222-2222-22-2-2-2-2-2-222-2-222000000000000-20020000000000
χ212222-2-2222-22-2-2-220022-2-2000000002-20000002-200000000000
χ222222-2-2222-22-2-2-220022-2-200000000-22000000-2200000000000
χ232222-2-2222-22-2-2-2200-2-222000000002-2000000-2200000000000
χ242222-2-2222-22-2-2-2200-2-22200000000-220000002-200000000000
χ252222-2-22-2-22222-2-2220000-22-20022-20000-20000000000000000
χ262222-2-22-2-22222-2-2220000-22-200-2-22000020000000000000000
χ272222-2-22-2-22222-2-2-2-200002-22002-220000-20000000000000000
χ282222-2-22-2-22222-2-2-2-200002-2200-22-2000020000000000000000
χ292222-2-2-222-2-2-222-2002-22-200000000000002i−2i00002i−2i00000000
χ302222-2-2-222-2-2-222-2002-22-20000000000000−2i2i0000−2i2i00000000
χ312222-2-2-222-2-2-222-200-22-2200000000000002i−2i0000−2i2i00000000
χ322222-2-2-222-2-2-222-200-22-220000000000000−2i2i00002i−2i00000000
χ332222-2-2-2-2-22-22-222220000-2-222-2000002-200000000000000000
χ342222-2-2-2-2-22-22-222220000-2-22-2200000-2200000000000000000
χ352222-2-2-2-2-22-22-222-2-2000022-22-200000-2200000000000000000
χ362222-2-2-2-2-22-22-222-2-2000022-2-22000002-200000000000000000
χ374444444-4-4-44-4-44-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000
χ394-4-444-404-4-404000000000000000000000000000000002i2−2i20000
χ404-4-444-404-4-40400000000000000000000000000000000−2i22i20000
χ414-4-444-40-4440-400000000000000000000000000000000002i2−2i200
χ424-4-444-40-4440-40000000000000000000000000000000000−2i22i200
χ434-4-44-4404-440-40000000000000000000000000000000000002i2−2i2
χ444-4-44-4404-440-4000000000000000000000000000000000000−2i22i2
χ454-4-44-440-44-40400000000000000000000000000000022−22000000
χ464-4-44-440-44-404000000000000000000000000000000−2222000000
χ4788-8-8000000000004i2−4i2000000000000000000000000000000000
χ4888-8-800000000000−4i24i2000000000000000000000000000000000
χ498-88-8008000-8000000000000000000000000000000000000000
χ508-88-800-80008000000000000000000000000000000000000000

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