Finite Group Databasebeta

← Group #290771

Character table — Group #290771

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222224444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1111-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-111-1-1-1-11-11-11-111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-111-1-1-1-11-11-11-1-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-111-1-1-1-1-11-11-11111-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-111-1-1-1-1-11-11-11-1-11-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-1-1-1111111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122222222-2-2-2-222-2-22-200002-22-200000002002-2000-200000000000000
χ2222222222-2-2-2-222-2-22-200002-22-20000000-200-22000200000000000000
χ2322222222-2-2-2-222-2-2-220000-22-2200000020-220000-2000000000000000
χ2422222222-2-2-2-222-2-2-220000-22-22000000-202-200002000000000000000
χ2522222222-2-2-2-2-2-2222-200002-2-220000000200-2-2000200000000000000
χ2622222222-2-2-2-2-2-2222-200002-2-220000000-20022000-200000000000000
χ2722222222-2-2-2-2-2-222-220000-222-200000020-2-200002000000000000000
χ2822222222-2-2-2-2-2-222-220000-222-2000000-20220000-2000000000000000
χ292-2222-2-2-22-22-200002-22i2i−2i−2i-22002i−2i000000000000000000002-2002i−2i00
χ302-2222-2-2-22-22-200002-22i2i−2i−2i-22002i−2i00000000000000000000-2200−2i2i00
χ312-2222-2-2-22-22-200002-2−2i−2i2i2i-2200−2i2i000000000000000000002-200−2i2i00
χ322-2222-2-2-22-22-200002-2−2i−2i2i2i-2200−2i2i00000000000000000000-22002i−2i00
χ332-2222-2-2-22-22-20000-222i2i−2i−2i2-200−2i2i00000000000000000000002i−2i002-2
χ342-2222-2-2-22-22-20000-222i2i−2i−2i2-200−2i2i0000000000000000000000−2i2i00-22
χ352-2222-2-2-22-22-20000-22−2i−2i2i2i2-2002i−2i00000000000000000000002i−2i00-22
χ362-2222-2-2-22-22-20000-22−2i−2i2i2i2-2002i−2i0000000000000000000000−2i2i002-2
χ37444-4-44-4-444-4-400000000000000004-400000000000000000000000000
χ38444-4-44-4-444-4-40000000000000000-4400000000000000000000000000
χ39444-4-44-4-4-4-4440000004i−4i4i−4i0000000000000000000000000000000000
χ40444-4-44-4-4-4-444000000−4i4i−4i4i0000000000000000000000000000000000
χ414-4444-4-4-4-44-440000440000-4-400000000000000000000000000000000
χ424-4444-4-4-4-44-440000-4-400004400000000000000000000000000000000
χ434-44-4-4-4444-4-440000000000000000004-4000000000000000000000000
χ444-44-4-4-4444-4-44000000000000000000-44000000000000000000000000
χ454-44-4-4-444-444-40000004-4-440000000000000000000000000000000000
χ464-44-4-4-444-444-4000000-444-40000000000000000000000000000000000
χ474-4-44-444-400004-40000000000000000000000002i−2i002i−2i000000000000
χ484-4-44-444-400004-4000000000000000000000000−2i2i00−2i2i000000000000
χ494-4-44-444-40000-440000000000000000000000002i−2i00−2i2i000000000000
χ504-4-44-444-40000-44000000000000000000000000−2i2i002i−2i000000000000
χ514-4-4-444-440000004-400000000000000000000000000002-22-200000000
χ524-4-4-444-440000004-40000000000000000000000000000-22-2200000000
χ534-4-4-444-44000000-4400000000000000000000000000002-2-2200000000
χ544-4-4-444-44000000-440000000000000000000000000000-222-200000000
χ5588-88-8-8-88000000000000000000000000000000000000000000000000
χ5688-8-88-88-8000000000000000000000000000000000000000000000000

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