Finite Group Databasebeta

← Group #456632

Character table — Group #456632

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422224444888888882444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11111-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-11111
χ9111111111111111111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ11111111111111111111-1-111-1-111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-111-1-111
χ12111111111111111111-1-111-1-111-1-1-1-11111-111-111-1-1-1-1111111-1-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-11111-1-1
χ172222222222-2-2-2-2-2-2-2-2002200-2-200002i2i−2i−2i00000000002i−2i0000000000
χ182222222222-2-2-2-2-2-2-2-2002200-2-20000−2i−2i2i2i0000000000−2i2i0000000000
χ192222222222-2-2-2-2-2-2-2-200-2-2002200002i2i−2i−2i0000000000−2i2i0000000000
χ202222222222-2-2-2-2-2-2-2-200-2-200220000−2i−2i2i2i00000000002i−2i0000000000
χ2122222-2-2-22-22-22-2-2-2220000000022-2-2000022-2-2000000000000000000
χ2222222-2-2-22-22-22-2-2-2220000000022-2-20000-2-222000000000000000000
χ2322222-2-2-22-22-22-2-2-22200000000-2-22200002-22-2000000000000000000
χ2422222-2-2-22-22-22-2-2-22200000000-2-2220000-22-22000000000000000000
χ252222-22-2-2-22-2-2222-22-22200-2-2000000000000002-200000000002-20000
χ262222-22-2-2-22-2-2222-22-22200-2-200000000000000-220000000000-220000
χ272222-22-2-2-22-2-2222-22-2-2-20022000000000000002-20000000000-220000
χ282222-22-2-2-22-2-2222-22-2-2-2002200000000000000-2200000000002-20000
χ292-2-22222-2-2-22-222-22-2-2000000002i−2i2i−2i00000000000000002-20000002i−2i
χ302-2-22222-2-2-22-222-22-2-2000000002i−2i2i−2i0000000000000000-22000000−2i2i
χ312-2-22222-2-2-22-222-22-2-200000000−2i2i−2i2i00000000000000002-2000000−2i2i
χ322-2-22222-2-2-22-222-22-2-200000000−2i2i−2i2i0000000000000000-220000002i−2i
χ332-2-222-2-22-22222-22-2-2-22-2002-2002i−2i−2i2i2i−2i2i−2i0000000000000000000000
χ342-2-222-2-22-22222-22-2-2-22-2002-200−2i2i2i−2i−2i2i−2i2i0000000000000000000000
χ352-2-222-2-22-22222-22-2-2-2-2200-22002i−2i−2i2i−2i2i−2i2i0000000000000000000000
χ362-2-222-2-22-22222-22-2-2-2-2200-2200−2i2i2i−2i2i−2i2i−2i0000000000000000000000
χ372-2-222-2-22-22-2-2-22-22220000000000002-2-220000002-200000000002-200
χ382-2-222-2-22-22-2-2-22-22220000000000002-2-22000000-220000000000-2200
χ392-2-222-2-22-22-2-2-22-2222000000000000-222-20000002-20000000000-2200
χ402-2-222-2-22-22-2-2-22-2222000000000000-222-2000000-2200000000002-200
χ412-2-22-2-22-222-2-22-222-222-200-220000000000000000002-200002-2000000
χ422-2-22-2-22-222-2-22-222-222-200-22000000000000000000-220000-22000000
χ432-2-22-2-22-222-2-22-222-22-22002-20000000000000000002-20000-22000000
χ442-2-22-2-22-222-2-22-222-22-22002-2000000000000000000-2200002-2000000
χ4544444-4-4-44-4-44-4444-4-400000000000000000000000000000000000000
χ464444-44-4-4-4444-4-4-44-4400000000000000000000000000000000000000
χ474444-4-444-4-44-4-444-4-4400000000000000000000000000000000000000
χ484444-4-444-4-4-444-4-444-400000000000000000000000000000000000000
χ494-4-44444-4-4-4-44-4-44-44400000000000000000000000000000000000000
χ504-4-44-44-444-44-4-4-4444-400000000000000000000000000000000000000
χ514-4-44-44-444-4-4444-4-4-4400000000000000000000000000000000000000
χ524-4-44-4-44-44444-44-4-44-400000000000000000000000000000000000000
χ5388-8-800000000000000004-40000000000000000000000000000000000
χ5488-8-80000000000000000-440000000000000000000000000000000000
χ558-88-8000000000000000000004i−4i000000000000000000000000000000
χ568-88-800000000000000000000−4i4i000000000000000000000000000000

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