Finite Group Databasebeta

← Group #257197

Character table — Group #257197

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-11-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-111-1-111-1-1-11-1-1-111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-111-1-111-1-1-11-1-1-1-1-11-1-111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-11111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-1-11111-1-1111-1-1-11-1111-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-1-11111-1-1111-1-1-11-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-1-111-1-1-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-1-111-1-1-1-1-1-111-11-11-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-1-1111111-111-1-11-111-1-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-1-1111111-111-1-11-1-1-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1111-11-1-111111-1-1-1-11111-1-1
χ17222222222222-222-2-2-22-2-222002200-20-2000000000000000000000
χ18222222222222-222-2-2-22-2-2-2-200-2-200202000000000000000000000
χ19222222222222-2-2-2-2-2-2-2222200-2-200-202000000000000000000000
χ20222222222222-2-2-2-2-2-2-222-2-200220020-2000000000000000000000
χ2122222222-2-2-2-2222-2-22-22-2002200-2-2000-200000200000000000000
χ2222222222-2-2-2-2222-2-22-22-200-2-20022000200000-200000000000000
χ2322222222-2-2-2-22-2-2-2-222-22002200-2-2000200000-200000000000000
χ2422222222-2-2-2-22-2-2-2-222-2200-2-20022000-200000200000000000000
χ2522222222-2-2-2-2-22222-2-2-220000000002002-2-200000000000000000
χ2622222222-2-2-2-2-22222-2-2-22000000000-200-22200000000000000000
χ2722222222-2-2-2-2-2-2-222-222-2000000000200-2-2200000000000000000
χ2822222222-2-2-2-2-2-2-222-222-2000000000-20022-200000000000000000
χ292222-2-2-2-22-22-2-2002-22000002i−2i002i−2i00000000002i−2i00000000002-2
χ302222-2-2-2-22-22-2-2002-22000002i−2i002i−2i0000000000−2i2i0000000000-22
χ312222-2-2-2-22-22-2-2002-2200000−2i2i00−2i2i00000000002i−2i0000000000-22
χ322222-2-2-2-22-22-2-2002-2200000−2i2i00−2i2i0000000000−2i2i00000000002-2
χ332222-2-2-2-2-22-22-200-222000002i−2i00−2i2i00000002i−2i000000000002-200
χ342222-2-2-2-2-22-22-200-222000002i−2i00−2i2i0000000−2i2i00000000000-2200
χ352222-2-2-2-2-22-22-200-22200000−2i2i002i−2i00000002i−2i00000000000-2200
χ362222-2-2-2-2-22-22-200-22200000−2i2i002i−2i0000000−2i2i000000000002-200
χ374444-4-4-4-44-44-4400-44-400000000000000000000000000000000000
χ384444-4-4-4-4-44-444004-4-400000000000000000000000000000000000
χ394-44-44-44-4000004i−4i000000000000000000000000002-22i−2i00000000
χ404-44-44-44-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ414-44-44-44-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ424-44-44-44-400000−4i4i00000000000000000000000000-222i−2i00000000
χ434-4-444-4-4444-4-4000000000000000000000000000000000002i2−2i20000
χ444-4-444-4-4444-4-400000000000000000000000000000000000−2i22i20000
χ454-4-444-4-44-4-44400000000000000000000000000000000022−22000000
χ464-4-444-4-44-4-444000000000000000000000000000000000−2222000000
χ474-4-44-444-44-4-440000000004i−4i000000000000000000000000000000
χ484-4-44-444-44-4-44000000000−4i4i000000000000000000000000000000
χ494-4-44-444-4-444-400000000000004i−4i00000000000000000000000000
χ504-4-44-444-4-444-40000000000000−4i4i00000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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