Finite Group Databasebeta

← Group #304398

Character table — Group #304398

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-111111111-1-1-1111-1-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111111-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111
χ7111111111111111111-1-11-1-1-1-111-1-111-11111-11-1-11-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-1-1-111-1-1-1-1-111-1-1-11-1-111111-1-1-1-11111
χ91111111111111-1-111111-11111-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111111-1-111111-11111-1-1-1-1-1-1-11-111-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-111-1-1-1-11111-1-11-1-111-1-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-111-1-1-1-111-1-1-1-111111-1-1-111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-111-1-1-1-1111-11-1-1-1111-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-1111-1111-1-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-11-11-11-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-1111-11-1111-1-1-1-11111-1-1
χ17222222222222-222-2-2-20020022-2-2220000000-200-20000000000000
χ18222222222222-222-2-2-200200-2-2-2-2-2-2000000020020000000000000
χ19222222222222-2-2-2-2-2-200-2002222-2-20000000200-20000000000000
χ20222222222222-2-2-2-2-2-200-200-2-222220000000-20020000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-2002-200002000000-200000000000000
χ2222222222-2-2-2-2222-2-22-2-2-222002-20000-2000000200000000000000
χ2322222222-2-2-2-22-2-2-2-22222-2-200-220000-2000000200000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-222200-2200002000000-200000000000000
χ2522222222-2-2-2-2-22222-200-20000-220000022000-200-2000000000000
χ2622222222-2-2-2-2-22222-200-20000-2200000-2-20002002000000000000
χ2722222222-2-2-2-2-2-2-222-200200002-2000002-2000200-2000000000000
χ2822222222-2-2-2-2-2-2-222-200200002-200000-22000-2002000000000000
χ292222-2-2-2-22-22-2-2002-222-202-2000000000000000000002i−2i002i−2i0000
χ302222-2-2-2-22-22-2-2002-222-202-200000000000000000000−2i2i00−2i2i0000
χ312222-2-2-2-22-22-2-2002-22-220-22000000000000000000002i−2i00−2i2i0000
χ322222-2-2-2-22-22-2-2002-22-220-2200000000000000000000−2i2i002i−2i0000
χ332222-2-2-2-2-22-22-200-2222-20-220000000000000000002i−2i002i−2i000000
χ342222-2-2-2-2-22-22-200-2222-20-22000000000000000000−2i2i00−2i2i000000
χ352222-2-2-2-2-22-22-200-222-2202-20000000000000000002i−2i00−2i2i000000
χ362222-2-2-2-2-22-22-200-222-2202-2000000000000000000−2i2i002i−2i000000
χ374444-4-4-4-44-44-4400-44-400000000000000000000000000000000000
χ384444-4-4-4-4-44-444004-4-400000000000000000000000000000000000
χ394-44-44-44-4000004i−4i000000000000002-20002i−2i00000000000000000
χ404-44-44-44-4000004i−4i00000000000000-22000−2i2i00000000000000000
χ414-44-44-44-400000−4i4i000000000000002-2000−2i2i00000000000000000
χ424-44-44-44-400000−4i4i00000000000000-220002i−2i00000000000000000
χ434-4-444-4-4444-4-4000000000004i−4i0000000000000000000000000000
χ444-4-444-4-4444-4-400000000000−4i4i0000000000000000000000000000
χ454-4-444-4-44-4-4440000000000000004-4000000000000000000000000
χ464-4-444-4-44-4-444000000000000000-44000000000000000000000000
χ474-4-44-444-44-4-440000000000000000000000000000000000000002i2−2i2
χ484-4-44-444-44-4-44000000000000000000000000000000000000000−2i22i2
χ494-4-44-444-4-444-400000000000000000000000000000000000002i2−2i200
χ504-4-44-444-4-444-40000000000000000000000000000000000000−2i22i200
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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