Finite Group Databasebeta

← Group #500968

Character table — Group #500968

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444222244444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ511111111111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ9111111-1-111-1-1-111111111-1-111-1-1-1-111-1-1-11-11-11-11-111-1-11-11-1
χ10111111-1-111-1-1-111111111-1-111-1-1-1-111-1-1-1-11-11-11-1111-1-1-11-11
χ11111111-1-111-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-1-1111-1-11
χ12111111-1-111-1-1-1111111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-111-111-1
χ13111111-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-11-11-11-11-1-1-111-11-11
χ14111111-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11-11-11-1-1111-11-1
χ15111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111-1-1-111-1
χ16111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-111-1-111-111-1-11-1-11
χ17222222222-2-2-22-2-22-200002-200000000000002200-2-200000000
χ18222222222-2-2-22-2-22-200002-20000000000000-2-2002200000000
χ1922222222-22-2-22-2-2-220000-22000000000002200-2-20000000000
χ2022222222-22-2-22-2-2-220000-2200000000000-2-200220000000000
χ2122222222-2-222222-2-20022-2-2000000-2-2-2-220000000000000000
χ2222222222-2-222222-2-200-2-2-2-20000002222-20000000000000000
χ23222222-2-22-222-2-2-22-20000-2200000000000002-200-2200000000
χ24222222-2-22-222-2-2-22-20000-220000000000000-22002-200000000
χ25222222-2-2-2222-2-2-2-2200002-2000000000002-200-220000000000
χ26222222-2-2-2222-2-2-2-2200002-200000000000-22002-20000000000
χ27222222-2-2-2-2-2-2-222-2-2002222000000-2-222-20000000000000000
χ28222222-2-2-2-2-2-2-222-2-200-2-22200000022-2-220000000000000000
χ2922-2-22-200220002-2-2-22-22-2002-200002-2000000000002-2000000
χ3022-2-22-200220002-2-2-22-2-22002-20000-2200000000000-22000000
χ3122-2-22-200220002-2-2-2-222-200-2200002-200000000000-22000000
χ3222-2-22-200220002-2-2-2-22-2200-220000-22000000000002-2000000
χ3322-2-22-200-2-20002-222002-200002i−2i2i−2i-2200000000000002i−2i0000
χ3422-2-22-200-2-20002-222002-20000−2i2i−2i2i-220000000000000−2i2i0000
χ3522-2-22-200-2-20002-22200-2200002i−2i2i−2i2-20000000000000−2i2i0000
χ3622-2-22-200-2-20002-22200-220000−2i2i−2i2i2-200000000000002i−2i0000
χ374444-4-4440000-40000220000-2-2-2-222000000000000000000000
χ384444-4-4440000-40000-2-200002222-2-2000000000000000000000
χ394444-4-4-4-4000040000220000-2-222-2-2000000000000000000000
χ404444-4-4-4-4000040000-2-2000022-2-222000000000000000000000
χ4144-4-44-4004-4000-44-44000000000000000000000000000000000
χ4244-4-44-400-44000-444-4000000000000000000000000000000000
χ4344-4-4-4400004i−4i000002-20000-222i−2i−2i2i000000000000000000000
χ4444-4-4-4400004i−4i00000-2200002-2−2i2i2i−2i000000000000000000000
χ4544-4-4-440000−4i4i000002-20000-22−2i2i2i−2i000000000000000000000
χ4644-4-4-440000−4i4i00000-2200002-22i−2i−2i2i000000000000000000000
χ478-88-80000000000000000000000000004-400000000000000000
χ488-88-8000000000000000000000000000-4400000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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