Finite Group Databasebeta

← Group #506500

Character table — Group #506500

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224444448888448888882244888816161616161616162444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1111-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ212222-2-222-2-20000000022-2-22i−2i00002i−2i020-22i−2i00000000000000
χ222222-2-222-2-20000000022-2-22i−2i00002i−2i0-202−2i2i00000000000000
χ232222-2-222-2-20000000022-2-2−2i2i0000−2i2i020-2−2i2i00000000000000
χ242222-2-222-2-20000000022-2-2−2i2i0000−2i2i0-2022i−2i00000000000000
χ252222-2-222-2-200000000-2-2222i−2i0000−2i2i20-20002i−2i000000000000
χ262222-2-222-2-200000000-2-2222i−2i0000−2i2i-202000−2i2i000000000000
χ272222-2-222-2-200000000-2-222−2i2i00002i−2i20-2000−2i2i000000000000
χ282222-2-222-2-200000000-2-222−2i2i00002i−2i-2020002i−2i000000000000
χ292-2-22-22-22-222-22-200002-22-2002-200000000000000002-22-20000
χ302-2-22-22-22-222-22-200002-22-2002-20000000000000000-22-220000
χ312-2-22-22-22-222-22-20000-22-2200-220000000000002-22-200000000
χ322-2-22-22-22-222-22-20000-22-2200-22000000000000-22-2200000000
χ332-2-22-22-22-22-22-2200002-22-200-2200000000000000002-2-220000
χ342-2-22-22-22-22-22-2200002-22-200-220000000000000000-222-20000
χ352-2-22-22-22-22-22-220000-22-22002-20000000000002-2-2200000000
χ362-2-22-22-22-22-22-220000-22-22002-2000000000000-222-200000000
χ37444444-4-4-4-444-4-4000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444000000000000000000000000000000000000
χ394444-4-4-4-44400000000000000004-40000000000000000000000
χ404444-4-4-4-4440000000000000000-440000000000000000000000
χ414-4-444-44-4-44000044-4-400000000000000000000000000000000
χ424-4-444-44-4-440000-4-44400000000000000000000000000000000
χ434-4-444-4-444-4000000004-4-440000000000000000000000000000
χ444-4-444-4-444-400000000-444-40000000000000000000000000000
χ454-4-44-444-44-44-4-44000000000000000000000000000000000000
χ464-4-44-444-44-4-444-4000000000000000000000000000000000000
χ4788-8-800000000004i−4i4i−4i00000000000000000000000000000000
χ4888-8-80000000000−4i4i−4i4i00000000000000000000000000000000
χ498-88-800000000004i−4i−4i4i00000000000000000000000000000000
χ508-88-80000000000−4i4i4i−4i00000000000000000000000000000000

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