Finite Group Databasebeta

← Group #459447

Character table — Group #459447

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444444444444444444442444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ9111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-111-1-11111-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11111-1-111-1-111-1-1
χ172222222222-2-2-2-2-2-2-2-222-2-20000000000000000002i−2i2i−2i000000000000
χ182222222222-2-2-2-2-2-2-2-222-2-2000000000000000000−2i2i−2i2i000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2220000000000000000002i−2i−2i2i000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222000000000000000000−2i2i2i−2i000000000000
χ2122222-2-22-2-222-22-22-2-20000000000002i2i−2i−2i200-200000000000000002i−2i
χ2222222-2-22-2-222-22-22-2-20000000000002i2i−2i−2i-20020000000000000000−2i2i
χ2322222-2-22-2-222-22-22-2-2000000000000−2i−2i2i2i200-20000000000000000−2i2i
χ2422222-2-22-2-222-22-22-2-2000000000000−2i−2i2i2i-200200000000000000002i−2i
χ252222-22-2-22-22-222-2-22-2000022-2-22i2i−2i−2i000000000000002i−2i0000000000
χ262222-22-2-22-22-222-2-22-2000022-2-2−2i−2i2i2i00000000000000−2i2i0000000000
χ272222-22-2-22-22-222-2-22-20000-2-2222i2i−2i−2i00000000000000−2i2i0000000000
χ282222-22-2-22-22-222-2-22-20000-2-222−2i−2i2i2i000000000000002i−2i0000000000
χ292-2-222-2-2-222-2-222-22-22000000002-22-2000002-20000000002-200000000
χ302-2-222-2-2-222-2-222-22-22000000002-22-200000-22000000000-2200000000
χ312-2-222-2-2-222-2-222-22-2200000000-22-22000002-2000000000-2200000000
χ322-2-222-2-2-222-2-222-22-2200000000-22-2200000-220000000002-200000000
χ332-2-22-22-22-22-22-22-2-2220000000000002-22-200002-20000000000002-200
χ342-2-22-22-22-22-22-22-2-2220000000000002-22-20000-22000000000000-2200
χ352-2-22-22-22-22-22-22-2-222000000000000-22-2200002-2000000000000-2200
χ362-2-22-22-22-22-22-22-2-222000000000000-22-220000-220000000000002-200
χ372-2-22-2-2222-22-2-2-2-22222-22-2000000000000000000000000002-22-20000
χ382-2-22-2-2222-22-2-2-2-22222-22-200000000000000000000000000-22-220000
χ392-2-22-2-2222-22-2-2-2-2222-22-22000000000000000000000000002-2-220000
χ402-2-22-2-2222-22-2-2-2-2222-22-2200000000000000000000000000-222-20000
χ412-2-22-2-2222-2-22222-2-2-22-2-2200002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ422-2-22-2-2222-2-22222-2-2-22-2-220000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ432-2-22-2-2222-2-22222-2-2-2-222-200002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ442-2-22-2-2222-2-22222-2-2-2-222-20000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ4544444-4-44-4-4-4-44-44-44400000000000000000000000000000000000000
χ464444-44-4-44-4-44-4-444-4400000000000000000000000000000000000000
χ474444-4-44-4-444-4-444-4-4400000000000000000000000000000000000000
χ484444-4-44-4-44-444-4-444-400000000000000000000000000000000000000
χ494-4-44444-4-4-4444-4-4-4-4400000000000000000000000000000000000000
χ504-4-44444-4-4-4-4-4-44444-400000000000000000000000000000000000000
χ514-4-444-4-4-44444-4-44-44-400000000000000000000000000000000000000
χ524-4-44-44-44-444-44-444-4-400000000000000000000000000000000000000
χ5388-8-8000000000000000000004-4000000000000000000000000000000
χ5488-8-800000000000000000000-44000000000000000000000000000000
χ558-88-80000000000000000004-400000000000000000000000000000000
χ568-88-8000000000000000000-4400000000000000000000000000000000

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