Finite Group Databasebeta

← Group #264613

Character table — Group #264613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422224444888888888888222444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-111-11
χ511111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-1-1-1111-1
χ711111111111111111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ811111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ9111111111111111111-1-111-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ10111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1
χ172222222222-22-2-2-22-2-200220022-2-2000022000000-2-200000000000000
χ182222222222-22-2-2-22-2-2002200-2-2220000-2-20000002-200000000000000
χ192222222222-22-2-2-22-2-200-2-20022220000-2-2000000-2200000000000000
χ202222222222-22-2-2-22-2-200-2-200-2-2-2-20000220000002200000000000000
χ2122222222-2-22-2222-2-2-22200-2-2000022-2-20000000000002-20000000000
χ2222222222-2-22-2222-2-2-22200-2-20000-2-222000000000000-220000000000
χ2322222222-2-22-2222-2-2-2-2-20022000022-2-2000000000000-220000000000
χ2422222222-2-22-2222-2-2-2-2-200220000-2-2220000000000002-20000000000
χ252-2-22-2-22222-2-222-2-22-22-2002-200000000002i2i−2i−2i000000000000002i−2i00
χ262-2-22-2-22222-2-222-2-22-22-2002-20000000000−2i−2i2i2i00000000000000−2i2i00
χ272-2-22-2-22222-2-222-2-22-2-2200-2200000000002i2i−2i−2i00000000000000−2i2i00
χ282-2-22-2-22222-2-222-2-22-2-2200-220000000000−2i−2i2i2i000000000000002i−2i00
χ292-2-22-2-222-2-222-2-2222-2000000002-200002-200002-2002-2000000000000
χ302-2-22-2-222-2-222-2-2222-2000000002-200002-20000-2200-22000000000000
χ312-2-22-2-222-2-222-2-2222-200000000-220000-2200002-200-22000000000000
χ322-2-22-2-222-2-222-2-2222-200000000-220000-220000-22002-2000000000000
χ332-2-22-2-222-2-2-2222-22-222-200-22002-20000-2200000000000000002-20000
χ342-2-22-2-222-2-2-2222-22-222-200-2200-2200002-20000000000000000-220000
χ352-2-22-2-222-2-2-2222-22-22-22002-2002-20000-220000000000000000-220000
χ362-2-22-2-222-2-2-2222-22-22-22002-200-2200002-200000000000000002-20000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-44-404000-400004-40000000000000000000000000000000000
χ394444-4-4-4-44-404000-40000-440000000000000000000000000000000000
χ404444-4-4-4-4-440-400040000000000000000000000000000002i2−2i200000000
χ414444-4-4-4-4-440-40004000000000000000000000000000000−2i22i200000000
χ4244-4-44-44-400404-4-400000000000000000002i2−2i22i2−2i2000000000000000000
χ4344-4-44-44-400404-4-40000000000000000000−2i22i2−2i22i2000000000000000000
χ4444-4-44-44-400-40-4440000000000000004-4000000000000000000000000
χ4544-4-44-44-400-40-444000000000000000-44000000000000000000000000
χ464-44-4-444-40040-44-400000000000004i−4i00000000000000000000000000
χ474-44-4-444-40040-44-40000000000000−4i4i00000000000000000000000000
χ484-44-4-444-400-404-44000000000000000000022−22−2222000000000000000000
χ494-44-4-444-400-404-440000000000000000000−222222−22000000000000000000
χ504-4-4444-4-44-40-400040000000000000000000000000000000022−22000000
χ514-4-4444-4-44-40-4000400000000000000000000000000000000−2222000000
χ524-4-4444-4-4-4404000-4000000004i−4i000000000000000000000000000000
χ534-4-4444-4-4-4404000-400000000−4i4i000000000000000000000000000000
χ544-4-44-4-444444-4-4-44-4-4400000000000000000000000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-88-8-88000000000000000000000000000000000000000000000000

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