Finite Group Databasebeta

← Group #486124

Character table — Group #486124

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444422244444424444444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1111-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-1-1-1111111-1-111-11-11-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-111111-11-11-11-11-11-1-1-1-11111-1-1
χ71111111111111111-1-1-1-1-1-111-1-1-11-1-1-11-11-11-1-1-1-1-1111111
χ81111111111111111-1-1-1-1-1-111-1-1-1-11-1-1-11-11-111111-1-1-1-111
χ9111111-1-1-1-1-1-1-111-11111-1-1111-1-111-11-1-1-1-11111-1-111-1-11-1
χ10111111-1-1-1-1-1-1-111-11111-1-1111-1-1-1-1-111111-1-1-1-111-1-1111-1
χ11111111-1-1-1-1-1-1-111-11111-1-111-11111-1-1-1-1-1-111-1-111-1-111-11
χ12111111-1-1-1-1-1-1-111-11111-1-111-111-1-1-1-11111-1-111-1-111-1-1-11
χ13111111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11-111-11-111-111-1-1-1-111-11
χ14111111-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-11111-11-1-11-1-11111-1-1-11
χ15111111-1-1-1-1-1-1-111-1-1-1-1-11111-1111-11-1-11-111-1-1-11111-1-11-1
χ16111111-1-1-1-1-1-1-111-1-1-1-1-11111-111-111-11-11-1-1111-1-1-1-1111-1
χ172222222222-2-22-2-2-20000002-20000200020-20-20000000000
χ182222222222-2-22-2-2-20000002-20000-2000-202020000000000
χ1922222222-2-2222-2-2-2000000-22000200020-20-200000000000
χ2022222222-2-2222-2-2-2000000-22000-2000-2020200000000000
χ2122222222-2-2-2-2222222-2-2-2-2-2-200000200000000000000000
χ2222222222-2-2-2-22222-2-22222-2-200000-200000000000000000
χ23222222-2-22222-222-222-2-222-2-200000-200000000000000000
χ24222222-2-22222-222-2-2-222-2-2-2-200000200000000000000000
χ25222222-2-222-2-2-2-2-22000000-220002000-2020-200000000000
χ26222222-2-222-2-2-2-2-22000000-22000-200020-20200000000000
χ27222222-2-2-2-222-2-2-220000002-200002000-2020-20000000000
χ28222222-2-2-2-222-2-2-220000002-20000-200020-2020000000000
χ292-2-222-2002i−2i2i−2i02-202-2002i−2i000000000000000i2−i22−2i2−i22−200
χ302-2-222-2002i−2i2i−2i02-202-2002i−2i000000000000000−i2i2−22−i2i2−2200
χ312-2-222-2002i−2i2i−2i02-20-2200−2i2i000000000000000i2−i22−2−i2i2−2200
χ322-2-222-2002i−2i2i−2i02-20-2200−2i2i000000000000000−i2i2−22i2−i22−200
χ332-2-222-200−2i2i−2i2i02-202-200−2i2i000000000000000i2−i2−22i2−i2−2200
χ342-2-222-200−2i2i−2i2i02-202-200−2i2i000000000000000−i2i22−2−i2i22−200
χ352-2-222-200−2i2i−2i2i02-20-22002i−2i000000000000000i2−i2−22−i2i22−200
χ362-2-222-200−2i2i−2i2i02-20-22002i−2i000000000000000−i2i22−2i2−i2−2200
χ374444-4-4440000-40000000000022-2000-20000000000000000
χ384444-4-4440000-400000000000-2-2200020000000000000000
χ394444-4-4-4-400004000000000002-22000-20000000000000000
χ404444-4-4-4-40000400000000000-22-200020000000000000000
χ414-4-444-4004i−4i−4i4i0-4400000000000000000000000000000000
χ424-4-444-400−4i4i4i−4i0-4400000000000000000000000000000000
χ4388-8-8000000000000004-4000000000000000000000000000
χ4488-8-800000000000000-44000000000000000000000000000
χ458-88-8008i−8i000000000000000000000000000000000000000
χ468-88-800−8i8i000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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