Finite Group Databasebeta

← Group #327197

Character table — Group #327197

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222222222244444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-11111-1-11111-1-1-1-11-111-1-111-1-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-11111-1-11111-1-1-1-11-111-1-1-1-1111-1-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1111-1-1-1-111-1-111
χ121111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-111-1-111-11-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-11111-1-11-1-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-111-1-1-1-11111-1-1
χ151111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1111-1-111-1-1-11-1-111-1-11111-1-1
χ161111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1111-1-1-1-111-1111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ2122222222-2-22222-2-2-2-222-2-22-200000000002-22-2000000000000000000
χ2222222222-2-22222-2-2-2-222-2-22-20000000000-22-22000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-22000000002200000000-2-2000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2200000000-2-20000000022000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2200000000002-2-22000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-220000000000-222-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-2000000002-200000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2222-200000000-22000000002-2000000000000
χ292-222-2-22-22222-2-2-2-22-2000000002-2002-20000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-222-2-22-22222-2-2-2-22-2000000002-2002-20000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-222-2-22-22222-2-2-2-22-200000000-2200-220000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-222-2-22-22222-2-2-2-22-200000000-2200-220000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-222-2-22-222-2-222-2-2-22000000002-200-220000000000000000i2−i2−i2i2i2−i2−i2i2
χ342-222-2-22-222-2-222-2-2-22000000002-200-220000000000000000−i2i2i2−i2−i2i2i2−i2
χ352-222-2-22-222-2-222-2-2-2200000000-22002-20000000000000000i2−i2−i2i2−i2i2i2−i2
χ362-222-2-22-222-2-222-2-2-2200000000-22002-20000000000000000−i2i2i2−i2i2−i2−i2i2
χ37444-4-4-4-44004-44-40000000000000000000000002i−2i2i−2i00000000000000
χ38444-4-4-4-44004-44-4000000000000000000000000−2i2i−2i2i00000000000000
χ39444-4-4-4-4400-44-440000000000000000000000002i−2i−2i2i00000000000000
χ40444-4-4-4-4400-44-44000000000000000000000000−2i2i2i−2i00000000000000
χ4144-4-44-44-44-400004-40000000000004i−4i00000000000000000000000000
χ4244-4-44-44-44-400004-4000000000000−4i4i00000000000000000000000000
χ4344-4-44-44-4-440000-44000000004i−4i000000000000000000000000000000
χ4444-4-44-44-4-440000-4400000000−4i4i000000000000000000000000000000
χ454-444-4-44-4-4-444-4-444-4400000000000000000000000000000000000000
χ464-444-4-44-4-4-4-4-444444-400000000000000000000000000000000000000
χ474-44-444-4-4004-4-440000000000000000000000000000002i−2i2i−2i00000000
χ484-44-444-4-4004-4-44000000000000000000000000000000−2i2i−2i2i00000000
χ494-44-444-4-400-444-40000000000000000000000000000002i−2i−2i2i00000000
χ504-44-444-4-400-444-4000000000000000000000000000000−2i2i2i−2i00000000
χ514-4-4-4-44444-40000-44004-44-40000000000000000000000000000000000
χ524-4-4-4-44444-40000-4400-44-440000000000000000000000000000000000
χ534-4-4-4-4444-4400004-4004-4-440000000000000000000000000000000000
χ544-4-4-4-4444-4400004-400-444-40000000000000000000000000000000000
χ5588-88-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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