Finite Group Databasebeta

← Group #502695

Character table — Group #502695

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-111-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1111-1-11-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-11-111111111-1-1
χ511111111111111-1-111111-1-1-1-1-11-111-1111-1-111111-1-1-1-1-1-1
χ611111111111111-1-111111-1-1-1-1-1-1-1-11-1-11-1-1-11-1-1-1-1111111
χ711111111111111-1-1111-1-1-1-11111-11-111-111-1-1-1-1-1-11111-1-1
χ811111111111111-1-1111-1-1-1-1111-1-1-1-11-1-1-11-1-11111-1-1-1-111
χ9111111-1-111111111-1-1-1111111-11-1-1-11-111-1-1-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1111111-1-1-11-1111-1-1-1-1-1-111-1-111-11
χ11111111-1-111111111-1-1-1-1-111-1-111-1-11-1-1-111-11-1-111-1-1111-1
χ12111111-1-111111111-1-1-1-1-111-1-11-1-111-11-1-11-1111-1-111-1-1-11
χ13111111-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111-11
χ14111111-1-1111111-1-1-1-1-111-1-1-1-11-111-1-111-111-1-1-11111-1-11-1
χ15111111-1-1111111-1-1-1-1-1-1-1-1-111-111-111-1-11-111-1-11111-1-1-11
χ16111111-1-1111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1111-1
χ17222222222-2-2-22-2002-2-2000022-20000-20002000000000000
χ18222222222-2-2-22-2002-2-20000-2-2200002000-2000000000000
χ1922222222-22-2-2-2200-22-22200000000-200-200020000000000
χ2022222222-22-2-2-2200-22-2-2-2000000002002000-20000000000
χ2122222222-2-222-2-222-2-2200-2-2000020000000-200000000000
χ2222222222-2-222-2-2-2-2-2-2200220000-20000000200000000000
χ23222222-2-22-2-2-22-200-22200002220000-2000-2000000000000
χ24222222-2-22-2-2-22-200-2220000-2-2-2000020002000000000000
χ25222222-2-2-22-2-2-22002-222200000000200-2000-20000000000
χ26222222-2-2-22-2-2-22002-22-2-200000000-200200020000000000
χ27222222-2-2-2-222-2-22222-200-2-20000-20000000200000000000
χ28222222-2-2-2-222-2-2-2-222-20022000020000000-200000000000
χ292-2-222-2002-22-2-222i−2i000002i−2i000000000000002-2002i−2i0000
χ302-2-222-2002-22-2-222i−2i000002i−2i00000000000000-2200−2i2i0000
χ312-2-222-2002-22-2-22−2i2i00000−2i2i000000000000002-200−2i2i0000
χ322-2-222-2002-22-2-22−2i2i00000−2i2i00000000000000-22002i−2i0000
χ332-2-222-200-222-22-22i−2i00000−2i2i00000000000000002i−2i002-200
χ342-2-222-200-222-22-22i−2i00000−2i2i0000000000000000−2i2i00-2200
χ352-2-222-200-222-22-2−2i2i000002i−2i00000000000000002i−2i00-2200
χ362-2-222-200-222-22-2−2i2i000002i−2i0000000000000000−2i2i002-200
χ374444-4-44-400000000000000000020200-20-20000000000000
χ384444-4-44-4000000000000000000-20-2002020000000000000
χ394444-4-4-4400000000000000000020-20020-20000000000000
χ404444-4-4-44000000000000000000-20200-2020000000000000
χ414-4-444-40044-44-4-4000000000000000000000000000000000
χ424-4-444-400-4-4-4444000000000000000000000000000000000
χ4388-8-80000000000000004-400000000000000000000000000
χ4488-8-8000000000000000-4400000000000000000000000000
χ458-88-800000000000000000004i−4i0000000000000000000000
χ468-88-80000000000000000000−4i4i0000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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