Finite Group Databasebeta

← Group #486169

Character table — Group #486169

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-111-111-111-1111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111111
χ511111111111111-1-1111-1-11111111-11-1-11-1-11-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ711111111111111-1-11-1-111-1-111-11111-111-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-11-1-111-1-111-1-1-11-1-11-1-1-1-111111-1-1-1-111
χ9111111-1-1-1-1-1-11111-111-1-1-1-111-11-11-1-1-11-111111-1-111-1-11-1
χ10111111-1-1-1-1-1-11111-111-1-1-1-111-1-1111-1-1-1-1111-1-111-1-111-11
χ11111111-1-1-1-1-1-11111-1-1-111111111-1-1-1-111-11-1-111-1-1-1-111-11
χ12111111-1-1-1-1-1-11111-1-1-11111111-11-11-11-1-11-1-1-1-11111-1-11-1
χ13111111-1-1-1-1-1-111-1-1-11111-1-111-11-1-1-11111-11-1-1-111-1-1111-1
χ14111111-1-1-1-1-1-111-1-1-11111-1-111-1-11-1111-11-11-111-1-111-1-1-11
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-11-11-111-1-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-11111-1-11-1-1111-1-1-1-1111-1
χ172222222222-2-2-2-200-20022002-2000-200-2000020000000000
χ182222222222-2-2-2-200-200-2-2002-200020020000-20000000000
χ1922222222-2-222-2-222-2000000-2200000200-2-2000000000000
χ2022222222-2-222-2-2-2-2-2000000-2200000-20022000000000000
χ2122222222-2-2-2-2220022200-2-2-2-22000000000-200000000000
χ2222222222-2-2-2-222002-2-20022-2-2-2000000000200000000000
χ23222222-2-222222200-2220022-2-2-2000000000-200000000000
χ24222222-2-222222200-2-2-200-2-2-2-22000000000200000000000
χ25222222-2-222-2-2-2-2222000000-2200000-2002-2000000000000
χ26222222-2-222-2-2-2-2-2-22000000-2200000200-22000000000000
χ27222222-2-2-2-222-2-20020022002-2000200-20000-20000000000
χ28222222-2-2-2-222-2-200200-2-2002-2000-2002000020000000000
χ292-2-222-2002i−2i2i−2i2-20002-2002i−2i00000000000000i2−i22−2i2−i22−200
χ302-2-222-2002i−2i2i−2i2-20002-2002i−2i00000000000000−i2i2−22−i2i2−2200
χ312-2-222-2002i−2i2i−2i2-2000-2200−2i2i00000000000000i2−i22−2−i2i2−2200
χ322-2-222-2002i−2i2i−2i2-2000-2200−2i2i00000000000000−i2i2−22i2−i22−200
χ332-2-222-200−2i2i−2i2i2-20002-200−2i2i00000000000000i2−i2−22i2−i2−2200
χ342-2-222-200−2i2i−2i2i2-20002-200−2i2i00000000000000−i2i22−2−i2i22−200
χ352-2-222-200−2i2i−2i2i2-2000-22002i−2i00000000000000i2−i2−22−i2i22−200
χ362-2-222-200−2i2i−2i2i2-2000-22002i−2i00000000000000−i2i22−2i2−i2−2200
χ374444-4-44-4000000000000000000220-200-200000000000000
χ384444-4-44-4000000000000000000-2-20200200000000000000
χ394444-4-4-440000000000000000002-20200-200000000000000
χ404444-4-4-44000000000000000000-220-200200000000000000
χ414-4-444-4004i−4i−4i4i-44000000000000000000000000000000000
χ424-4-444-400−4i4i4i−4i-44000000000000000000000000000000000
χ4388-8-80000000000000004-400000000000000000000000000
χ4488-8-8000000000000000-4400000000000000000000000000
χ458-88-800000000004i−4i0000000000000000000000000000000
χ468-88-80000000000−4i4i0000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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