Finite Group Databasebeta

← Group #267809

Character table — Group #267809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1111-11-111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-1111111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-11-111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-11-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-2-2-222-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ2122222222-2-2-2-200002-222-2-22-22-2000000002-200020-200000000000000
χ2222222222-2-2-2-200002-222-2-22-22-200000000-22000-20200000000000000
χ2322222222-2-2-2-200002-2-2-2222-2-22000000002-2000-20200000000000000
χ2422222222-2-2-2-200002-2-2-2222-2-2200000000-2200020-200000000000000
χ2522222222-2-2-2-20000-2222-2-2-22-220000002-2000020-2000000000000000
χ2622222222-2-2-2-20000-2222-2-2-22-22000000-220000-202000000000000000
χ2722222222-2-2-2-20000-22-2-222-222-20000002-20000-202000000000000000
χ2822222222-2-2-2-20000-22-2-222-222-2000000-22000020-2000000000000000
χ292-22-2-2-2222-22-222-2-2220000-2-20000002-2000000000000000000002i−2i2i−2i
χ302-22-2-2-2222-22-222-2-2220000-2-20000002-200000000000000000000−2i2i−2i2i
χ312-22-2-2-2222-22-222-2-2-2-2000022000000-2200000000000000002-22-20000
χ322-22-2-2-2222-22-222-2-2-2-2000022000000-220000000000000000-22-220000
χ332-22-2-2-2222-22-2-2-222220000-2-2000000-22000000000000000000002i−2i−2i2i
χ342-22-2-2-2222-22-2-2-222220000-2-2000000-2200000000000000000000−2i2i2i−2i
χ352-22-2-2-2222-22-2-2-222-2-20000220000002-200000000000000002-2-220000
χ362-22-2-2-2222-22-2-2-222-2-20000220000002-20000000000000000-222-20000
χ374444-4-4-4-44-4-444-44-40000000000000000000000000000000000000000
χ384444-4-4-4-44-4-44-44-440000000000000000000000000000000000000000
χ394444-4-4-4-4-444-4000000000000004-40000000000000000000000000000
χ404444-4-4-4-4-444-400000000000000-440000000000000000000000000000
χ414-44-444-4-444-4-44-4-440000000000000000000000000000000000000000
χ424-44-444-4-444-4-4-444-40000000000000000000000000000000000000000
χ434-44-444-4-4-4-44400000000000000004i−4i00000000000000000000000000
χ444-44-444-4-4-4-4440000000000000000−4i4i00000000000000000000000000
χ454-44-4-4-444-44-4400004-40000-4400000000000000000000000000000000
χ464-44-4-4-444-44-440000-4400004-400000000000000000000000000000000
χ474-4-444-44-40000000000004i−4i00000000000000000000002i−2i2-200000000
χ484-4-444-44-40000000000004i−4i0000000000000000000000−2i2i-2200000000
χ494-4-444-44-4000000000000−4i4i00000000000000000000002i−2i-2200000000
χ504-4-444-44-4000000000000−4i4i0000000000000000000000−2i2i2-200000000
χ514-4-44-44-4400000000004-400000000000000002-200002-2000000000000
χ524-4-44-44-4400000000004-40000000000000000-220000-22000000000000
χ534-4-44-44-440000000000-4400000000000000002-20000-22000000000000
χ544-4-44-44-440000000000-440000000000000000-2200002-2000000000000
χ5588-8-88-8-88000000000000000000000000000000000000000000000000
χ5688-8-8-888-8000000000000000000000000000000000000000000000000

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