Finite Group Databasebeta

← Group #501331

Character table — Group #501331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224488888888444488882244888816161616161616164444
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
χ51111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-11111111111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-111-1-111-1-111-11-1111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-111-1-111-1-111-11-1111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-22222-2-2-2-2-2-2-2-22200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ192222222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000
χ212222-2-222-2-200002-200002-2002i−2i002i−2i020-22i−2i00000000000000
χ222222-2-222-2-200002-200002-2002i−2i002i−2i0-202−2i2i00000000000000
χ232222-2-222-2-200002-200002-200−2i2i00−2i2i020-2−2i2i00000000000000
χ242222-2-222-2-200002-200002-200−2i2i00−2i2i0-2022i−2i00000000000000
χ252222-2-222-2-20000-220000-22002i−2i00−2i2i20-20002i−2i000000000000
χ262222-2-222-2-20000-220000-22002i−2i00−2i2i-202000−2i2i000000000000
χ272222-2-222-2-20000-220000-2200−2i2i002i−2i20-2000−2i2i000000000000
χ282222-2-222-2-20000-220000-2200−2i2i002i−2i-2020002i−2i000000000000
χ292-2-22-22-222-22-22-2220000-2-200002-200000000002i−2i2i−2i00000000
χ302-2-22-22-222-22-22-2220000-2-200002-20000000000−2i2i−2i2i00000000
χ312-2-22-22-222-22-22-2-2-20000220000-22000000000000002-22-20000
χ322-2-22-22-222-22-22-2-2-20000220000-2200000000000000-22-220000
χ332-2-22-22-222-2-22-22220000-2-20000-2200000000002i−2i−2i2i00000000
χ342-2-22-22-222-2-22-22220000-2-20000-220000000000−2i2i2i−2i00000000
χ352-2-22-22-222-2-22-22-2-200002200002-2000000000000002-2-220000
χ362-2-22-22-222-2-22-22-2-200002200002-200000000000000-222-20000
χ37444444-4-4-4-444-4-4000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444000000000000000000000000000000000000
χ394444-4-4-4-44400000044-4-4000000000000000000000000000000
χ404444-4-4-4-444000000-4-444000000000000000000000000000000
χ414-4-444-44-44-40000000000004i−4i00000000000000000000000000
χ424-4-444-44-44-4000000000000−4i4i00000000000000000000000000
χ434-4-444-4-44-4400004-40000-440000000000000000000000000000
χ444-4-444-4-44-440000-4400004-40000000000000000000000000000
χ454-4-44-444-4-444-4-44000000000000000000000000000000000000
χ464-4-44-444-4-44-444-4000000000000000000000000000000000000
χ4788-8-80000000000000042−42000000000000000000000000000000
χ4888-8-800000000000000−4242000000000000000000000000000000
χ498-88-80000000000004i2−4i200000000000000000000000000000000
χ508-88-8000000000000−4i24i200000000000000000000000000000000

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