Finite Group Databasebeta

← Group #502689

Character table — Group #502689

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222222244224444444442444444444444444444488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-111-1-11-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-11111-111-11-1-11-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111-1-11-1-111-11-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111111-1-1111-1-1-1-11-1-111111-1-11-11111-1-1-1-1-1-1
χ61111111111111111-1-1111-1-1-1-1-1-1-1-1-11-11-1-11-1-1-1-1-1111111
χ71111111111111111-1-1-1-1111-1-11-1111-11-11-1-11-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-11-1-111111-1-1-1-111
χ911111111-1-11111-1-11111-111111-1-1-1-1-11-11-11-111-1-111-1-11-1
χ1011111111-1-11111-1-11111-11111-1-1-111-1-1-11-11-1-1-111-1-111-11
χ1111111111-1-11111-1-111-1-1-1-1-1111-11-1-1111-1-1-11-1-111-1-1111-1
χ1211111111-1-11111-1-111-1-1-1-1-111-1-11111-11-1-1-1111-1-111-1-1-11
χ1311111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-11-1-111111-1-1-1-111-11
χ1411111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11-1
χ1511111111-1-11111-1-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-11111-1-1-11
χ1611111111-1-11111-1-1-1-1-1-1-111-1-1-11-1111-1111-1-111-1-1-1-1111-1
χ172222222-2222-2-2-22-20000-2220000200000-200-20000000000
χ182222222-2222-2-2-22-20000-2-2-20000-20000020020000000000
χ192222222-2-2-22-2-2-2-2200002220000-200000-20020000000000
χ202222222-2-2-22-2-2-2-2200002-2-20000200000200-20000000000
χ21222222-2222-22-2-2-220022-200000000020-200-200000000000
χ22222222-2222-22-2-2-2200-2-2-2000000000-20200200000000000
χ23222222-22-2-2-22-2-22-200222000000000-20200-200000000000
χ24222222-22-2-2-22-2-22-200-2-2200000000020-200200000000000
χ25222222-2-222-2-222-2-22200200-2-2020000000-2000000000000
χ26222222-2-222-2-222-2-2-2-200200220-200000002000000000000
χ27222222-2-2-2-2-2-222222200-200-2-20-200000002000000000000
χ28222222-2-2-2-2-2-22222-2-200-20022020000000-2000000000000
χ292-2-222-22-200-222-2002i−2i000002i−2i000000000000002-2002i−2i00
χ302-2-222-22-200-222-2002i−2i000002i−2i00000000000000-2200−2i2i00
χ312-2-222-22-200-222-200−2i2i00000−2i2i000000000000002-200−2i2i00
χ322-2-222-22-200-222-200−2i2i00000−2i2i00000000000000-22002i−2i00
χ332-2-222-2-22002-22-2002i−2i00000−2i2i0000000000002i−2i002-20000
χ342-2-222-2-22002-22-2002i−2i00000−2i2i000000000000−2i2i00-220000
χ352-2-222-2-22002-22-200−2i2i000002i−2i0000000000002i−2i00-220000
χ362-2-222-2-22002-22-200−2i2i000002i−2i000000000000−2i2i002-20000
χ374444-4-4004-40000000000000002002-20-2000000000000000
χ384444-4-4004-4000000000000000-200-2202000000000000000
χ394444-4-400-44000000000000000200-220-2000000000000000
χ404444-4-400-44000000000000000-2002-202000000000000000
χ414-4-444-44400-4-4-44000000000000000000000000000000000
χ424-4-444-4-4-40044-44000000000000000000000000000000000
χ4388-8-8000000000000004i−4i000000000000000000000000000
χ4488-8-800000000000000−4i4i000000000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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