Finite Group Databasebeta

← Group #486103

Character table — Group #486103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444222444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1111-111-1-11-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-11-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-111-1-1-1-111111-1-1111-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-1-1-1111111
χ7111111111111111-1-1-1-111-1-111-111-1111-11-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-111-1-1-1-11-1-1-11-1-111111-1-1-1-111
χ9111111-1-111-1-1-1-1-1111111-1-111-11-1-1-11-1-1-111111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-1111111-1-111-1-11-1-1-11-1-1111-1-111-1-111-11
χ11111111-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1111-1-1-1-111-1-1111-1
χ12111111-1-111-1-1-1-1-111-1-1-1-1-1-1111-11-11-11111-1-111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-111-1-11111-11-1111-1-11-11-111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-111-1-11111-1-1111-11-11-11-1-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-1-1-111111111-11-11-11-1-1-11-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1111-1-1-1-1111-1
χ172222222222-2-2-2-22220000-2-2-2-2000200000-2000000000000
χ182222222222-2-2-2-22-2-2000022-2-2000-2000002000000000000
χ1922222222-2-222-2-2-2000022002-200002000-200-20000000000
χ2022222222-2-222-2-2-20000-2-2002-20000-200020020000000000
χ2122222222-2-2-2-222-200220000-222000000-200-200000000000
χ2222222222-2-2-2-222-200-2-20000-22-2000000200200000000000
χ23222222-2-2222222-222000022-2-2000-200000-2000000000000
χ24222222-2-2222222-2-2-20000-2-2-2-20002000002000000000000
χ25222222-2-2-2-222-2-2200220000-22-2000000200-200000000000
χ26222222-2-2-2-222-2-2200-2-20000-222000000-200200000000000
χ27222222-2-2-2-2-2-2222000022002-20000-2000200-20000000000
χ28222222-2-2-2-2-2-22220000-2-2002-200002000-20020000000000
χ292-22-22-2002-22i−2i2i−2i02-200002i−2i00000000000000i2−i22−2i2−i22−200
χ302-22-22-2002-22i−2i2i−2i02-200002i−2i00000000000000−i2i2−22−i2i2−2200
χ312-22-22-2002-22i−2i2i−2i0-220000−2i2i00000000000000i2−i22−2−i2i2−2200
χ322-22-22-2002-22i−2i2i−2i0-220000−2i2i00000000000000−i2i2−22i2−i22−200
χ332-22-22-2002-2−2i2i−2i2i02-20000−2i2i00000000000000i2−i2−22i2−i2−2200
χ342-22-22-2002-2−2i2i−2i2i02-20000−2i2i00000000000000−i2i22−2−i2i22−200
χ352-22-22-2002-2−2i2i−2i2i0-2200002i−2i00000000000000i2−i2−22−i2i22−200
χ362-22-22-2002-2−2i2i−2i2i0-2200002i−2i00000000000000−i2i22−2i2−i2−2200
χ374444-4-44-40000000000000000002200-2-2000000000000000
χ384444-4-44-4000000000000000000-2-20022000000000000000
χ394444-4-4-440000000000000000002-200-22000000000000000
χ404444-4-4-44000000000000000000-22002-2000000000000000
χ414-44-44-400-444i−4i−4i4i000000000000000000000000000000000
χ424-44-44-400-44−4i4i4i−4i000000000000000000000000000000000
χ4388-8-80000000000000004i−4i00000000000000000000000000
χ4488-8-8000000000000000−4i4i00000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000004-40000000000000000000000000000
χ478-8-880000000000000-440000000000000000000000000000

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