Finite Group Databasebeta

← Group #476303

Character table — Group #476303

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882222444444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1111-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-1-1-1-11-111-1-1-1-111-1-1-1-1111111
χ71111111111111111111111-1-1-11-1-1-1-1-11-1-111-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ9111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1111-1-1-1-1-11-1-1-1-1-111-1-11111-1-11111
χ11111111111111111111-1-1-1-111-11-1-1-1-1-11111111-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-11-1-1-1111-1-1-1111111-1-11111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-111
χ17222222-2-2-2-222-222-2-2-20000000200000-22i−2i002i−2i000000000000
χ18222222-2-2-2-222-222-2-2-20000000200000-2−2i2i00−2i2i000000000000
χ19222222-2-2-2-222-222-2-2-20000000-20000022i−2i00−2i2i000000000000
χ20222222-2-2-2-222-222-2-2-20000000-2000002−2i2i002i−2i000000000000
χ212222-2-222-2-22-2-22-22-2200000020002-2-20002-200000000000000
χ222222-2-222-2-22-2-22-22-220000002000-22-2000-2200000000000000
χ232222-2-222-2-22-2-22-22-22000000-20002-22000-2200000000000000
χ242222-2-222-2-22-2-22-22-22000000-2000-2220002-200000000000000
χ252222-2-2-2-222-22-2-222-2200002-2002-200000000002-20000000000
χ262222-2-2-2-222-22-2-222-2200002-200-220000000000-220000000000
χ272222-2-2-2-222-22-2-222-220000-22002-20000000000-220000000000
χ282222-2-2-2-222-22-2-222-220000-2200-2200000000002-20000000000
χ292-2-222-22-22-2222-2-22-2-200000000000000000000002-22i−2i00002i−2i
χ302-2-222-22-22-2222-2-22-2-200000000000000000000002-2−2i2i0000−2i2i
χ312-2-222-22-22-2222-2-22-2-20000000000000000000000-222i−2i0000−2i2i
χ322-2-222-22-22-2222-2-22-2-20000000000000000000000-22−2i2i00002i−2i
χ332-2-222-22-22-2-2-2-222-22222-2-200000000000000000000002-22-200
χ342-2-222-22-22-2-2-2-222-22222-2-20000000000000000000000-22-2200
χ352-2-222-22-22-2-2-2-222-222-2-22200000000000000000000002-2-2200
χ362-2-222-22-22-2-2-2-222-222-2-2220000000000000000000000-222-200
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4-444400000000000000000000000000000000
χ394444-4-444-4-4-444-44-44-400000000000000000000000000000000
χ404444-4-4-4-4444-444-4-44-400000000000000000000000000000000
χ414-4-444-4-44-4444-4-4-4-44400000000000000000000000000000000
χ424-4-444-4-44-44-4-44444-4-400000000000000000000000000000000
χ434-4-44-444-4-444-4-4-4444-400000000000000000000000000000000
χ444-4-44-444-4-44-4444-4-4-4400000000000000000000000000000000
χ454-4-44-44-444-44-44-44-4-4400000000000000000000000000000000
χ464-4-44-44-444-4-44-44-444-400000000000000000000000000000000
χ4788-8-8000000000000002i2−2i22i2−2i20000000000000000000000000000
χ4888-8-800000000000000−2i22i2−2i22i20000000000000000000000000000
χ498-88-8000000000000002i2−2i2−2i22i20000000000000000000000000000
χ508-88-800000000000000−2i22i22i2−2i20000000000000000000000000000

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