Finite Group Databasebeta

← Group #502726

Character table — Group #502726

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444244444444442224444444444444888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-11-11111-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-111111111-1-1
χ511111111111111111-1-111-1-1-1-11-11-111-111-11-11111-1-1-1-1-1-1
χ611111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-11-11-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-1-1-111111-11-1-1-11-1-1-1-11111-1-1
χ811111111111111111-1-1-1-111-1-1-11-11-1-1-1-1-1-1-111111-1-1-1-111
χ911111111111-1-11-1-1-111111111-111-1-11-1-1-1-11-111-1-111-1-11-1
χ1011111111111-1-11-1-1-111111111-11-1-11-1-11-1-11-1-1-111-1-111-11
χ1111111111111-1-11-1-1-111-1-1-1-1111-111-11-1-11-1-11-1-111-1-1111-1
χ1211111111111-1-11-1-1-111-1-1-1-1111-1-111-1-111-1-1111-1-111-1-1-11
χ1311111111111-1-11-1-1-1-1-111-1-1-1-1-1-111-111-1-111111-1-1-1-111-11
χ1411111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-111-111-1111-1-11111-1-11-1
χ1511111111111-1-11-1-1-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-1-11
χ1611111111111-1-11-1-1-1-1-1-1-111-1-111-1-11-11111-1-111-1-1-1-1111-1
χ172222222-2-22-222-2-22-20022000020000000-20-200000000000
χ182222222-2-22-222-2-22-200-2-20000-2000000020200000000000
χ192222222-2-22-2-2-2-22-2200220000-2000000020-200000000000
χ202222222-2-22-2-2-2-22-2200-2-2000020000000-20200000000000
χ21222222-222-2-222-2-2-22220000-2-2000000200-2000000000000
χ22222222-222-2-222-2-2-22-2-2000022000000-2002000000000000
χ23222222-222-2-2-2-2-222-2220000-2-2000000-2002000000000000
χ24222222-222-2-2-2-2-222-2-2-2000022000000200-2000000000000
χ25222222-2-2-2-222222-2-2000022000-20-2000000020000000000
χ26222222-2-2-2-222222-2-20000-2-20002020000000-20000000000
χ27222222-2-2-2-22-2-22-222000022000-2020000000-20000000000
χ28222222-2-2-2-22-2-22-2220000-2-200020-2000000020000000000
χ292-22-22-222-2-2-20020002i−2i00002i−2i0000000000002i−2i002-20000
χ302-22-22-222-2-2-20020002i−2i00002i−2i000000000000−2i2i00-220000
χ312-22-22-222-2-2-2002000−2i2i0000−2i2i0000000000002i−2i00-220000
χ322-22-22-222-2-2-2002000−2i2i0000−2i2i000000000000−2i2i002-20000
χ332-22-22-2-22-22200-20002i−2i0000−2i2i000000000000002-2002i−2i00
χ342-22-22-2-22-22200-20002i−2i0000−2i2i00000000000000-2200−2i2i00
χ352-22-22-2-22-22200-2000−2i2i00002i−2i000000000000002-200−2i2i00
χ362-22-22-2-22-22200-2000−2i2i00002i−2i00000000000000-22002i−2i00
χ374444-4-4000004-400000000000000202-20-200000000000000
χ384444-4-4000004-400000000000000-20-220200000000000000
χ394444-4-400000-440000000000000020-2-20200000000000000
χ404444-4-400000-4400000000000000-20220-200000000000000
χ414-44-44-44-44-4400-4000000000000000000000000000000000
χ424-44-44-4-4-444-4004000000000000000000000000000000000
χ4388-8-80000000000000004i−4i00000000000000000000000000
χ4488-8-8000000000000000−4i4i00000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88000000000000000004-4000000000000000000000000
χ478-8-8800000000000000000-44000000000000000000000000

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