Finite Group Databasebeta

← Group #316949

Character table — Group #316949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888222444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11111
χ91111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-111-1-11-1-1-1-1111-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-1
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-1-111-1-1-1-111-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-111-1-11-1-11111-1-111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-111-1-111-1-1-11111-1-1-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2222-2-2-2-22-222-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-22-2-2-222-2-222000000000000000000000000
χ1922222222222-2-2-2-22-2-222-2-2-2222-2-2-2-222000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-22-2-22222-2-2000000000000000000000000
χ2122222222-2-2-22222-22222-2-2-2-200000000002-2-20000002000000000000
χ2222222222-2-2-22222-22222-2-2-2-20000000000-222000000-2000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-22200000000002-22000000-2000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2220000000000-22-20000002000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2200000000000000000000000000002i−2i2i−2i
χ2622222222-2-2-2-2-2-2-2-222-2-222-220000000000000000000000000000−2i2i−2i2i
χ2722222222-2-2-2-2-2-2-2-2-2-222222-200000000000000000000000000002i−2i−2i2i
χ2822222222-2-2-2-2-2-2-2-2-2-222222-20000000000000000000000000000−2i2i2i−2i
χ292-2-222-2-2222-222-2-2-200002-20000002i−2i2i−2i000002i−2i002-20000000000000
χ302-2-222-2-2222-222-2-2-200002-20000002i−2i2i−2i00000−2i2i00-220000000000000
χ312-2-222-2-2222-222-2-2-200002-2000000−2i2i−2i2i000002i−2i00-220000000000000
χ322-2-222-2-2222-222-2-2-200002-2000000−2i2i−2i2i00000−2i2i002-20000000000000
χ332-2-222-2-2222-2-2-222-20000-220000002i−2i−2i2i2-2000002i−2i000000000000000
χ342-2-222-2-2222-2-2-222-20000-220000002i−2i−2i2i-2200000−2i2i000000000000000
χ352-2-222-2-2222-2-2-222-20000-22000000−2i2i2i−2i2-200000−2i2i000000000000000
χ362-2-222-2-2222-2-2-222-20000-22000000−2i2i2i−2i-22000002i−2i000000000000000
χ374444-4-4-4-44-440000-4000000000000000000000000000022−220000000000
χ384444-4-4-4-44-440000-40000000000000000000000000000−22220000000000
χ394444-4-4-4-4-44-4000040000000000000000000000000000002i2−2i200000000
χ404444-4-4-4-4-44-400004000000000000000000000000000000−2i22i200000000
χ4144-4-444-4-40004-44-40000000002i2−2i22i2−2i20000000000000000000000000000
χ4244-4-444-4-40004-44-4000000000−2i22i2−2i22i20000000000000000000000000000
χ4344-4-444-4-4000-44-440000000002i2−2i2−2i22i20000000000000000000000000000
χ4444-4-444-4-4000-44-44000000000−2i22i22i2−2i20000000000000000000000000000
χ454-44-44-44-40004-4-4404i−4i4i−4i000000000000000000000000000000000000
χ464-44-44-44-40004-4-440−4i4i−4i4i000000000000000000000000000000000000
χ474-44-44-44-4000-444-404i−4i−4i4i000000000000000000000000000000000000
χ484-44-44-44-4000-444-40−4i4i4i−4i000000000000000000000000000000000000
χ494-4-444-4-44-4-4444-4-440000-440000000000000000000000000000000000
χ504-4-444-4-44-4-44-4-444400004-40000000000000000000000000000000000
χ514-4-44-444-44-4-400004000000000000000000000000000000000022−220000
χ524-4-44-444-44-4-4000040000000000000000000000000000000000−22220000
χ534-4-44-444-4-4440000-4000000000000000000000000000000002i2−2i2000000
χ544-4-44-444-4-4440000-400000000000000000000000000000000−2i22i2000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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