Finite Group Databasebeta

← Group #486113

Character table — Group #486113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444244444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1-111-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-111-1-11-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ5111111111111111-1-1-1-111-1-111-111-1111-111-1-11111-1-1-1-1-1-1
χ6111111111111111-1-1-1-111-1-111-1-11-1-1-11-1-11-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11111-11-1111-111-11-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-1-1-11-1-1-11-1-11-11111-1-1-1-111
χ9111111-1-111-1-1-1-1-111-1-1111111-1111-1-1-1-11-1-1111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-11
χ11111111-1-111-1-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1111111-1-111-1-1111-1
χ12111111-1-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-11111-1-111111-1-1-1-111-11-111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-11111-1-1111-11-111-11-1-11-1-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-111-1-1111111-11-1-11-111-1-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-111-1-111111-1-11111-1-11-1-111-1-1-1-1111-1
χ172222222222-2-2-2-2222-2-20000-2-220000000000-20000000000
χ182222222222-2-2-2-22-2-2220000-2-2-2000000000020000000000
χ1922222222-2-222-2-2-2000000222-2000-2000-200200000000000
χ2022222222-2-222-2-2-2000000-2-22-20002000200-200000000000
χ2122222222-2-2-2-222-200002200-2200-2000-2002000000000000
χ2222222222-2-2-2-222-20000-2-200-22002000200-2000000000000
χ23222222-2-2222222-222220000-2-2-20000000000-20000000000
χ24222222-2-2222222-2-2-2-2-20000-2-22000000000020000000000
χ25222222-2-2-2-222-2-2200002200-2200-2000200-2000000000000
χ26222222-2-2-2-222-2-220000-2-200-22002000-2002000000000000
χ27222222-2-2-2-2-2-2222000000222-2000-2000200-200000000000
χ28222222-2-2-2-2-2-2222000000-2-22-20002000-200200000000000
χ292-2-222-2002-22i−2i2i−2i02-22i−2i000000000000000000i2−i22−2i2−i22−200
χ302-2-222-2002-22i−2i2i−2i02-22i−2i000000000000000000−i2i2−22−i2i2−2200
χ312-2-222-2002-22i−2i2i−2i0-22−2i2i000000000000000000i2−i22−2−i2i2−2200
χ322-2-222-2002-22i−2i2i−2i0-22−2i2i000000000000000000−i2i2−22i2−i22−200
χ332-2-222-2002-2−2i2i−2i2i02-2−2i2i000000000000000000i2−i2−22i2−i2−2200
χ342-2-222-2002-2−2i2i−2i2i02-2−2i2i000000000000000000−i2i22−2−i2i22−200
χ352-2-222-2002-2−2i2i−2i2i0-222i−2i000000000000000000i2−i2−22−i2i22−200
χ362-2-222-2002-2−2i2i−2i2i0-222i−2i000000000000000000−i2i22−2i2−i2−2200
χ374444-4-44-40000000000000000002002-200-20000000000000
χ384444-4-44-4000000000000000000-200-220020000000000000
χ394444-4-4-44000000000000000000200-2200-20000000000000
χ404444-4-4-44000000000000000000-2002-20020000000000000
χ414-4-444-400-444i−4i−4i4i000000000000000000000000000000000
χ424-4-444-400-44−4i4i4i−4i000000000000000000000000000000000
χ4388-8-80000000000000004i−4i00000000000000000000000000
χ4488-8-8000000000000000−4i4i00000000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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