Finite Group Databasebeta

← Group #500261

Character table — Group #500261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112224444448888888816161616161616161616161616161616161632323232
order12244222444224444442444448888888888884488
χ111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-11-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1111-1-1-11-1-1-11-111-1-11111-1-1-1-11-11-1
χ6111111111111-1111-1-1-11-1-1-11-111-1-1-1-1-1-11111-11-11
χ7111111111111-1111-1-1-1-1-11-1-11-1-1111111-1-1-1-1-11-11
χ8111111111111-1111-1-1-1-1-11-1-11-1-111-1-1-1-111111-11-1
χ911111111111-11-1-1-11111-11-111-1-1-1-111-1-111-1-11-1-11
χ1011111111111-11-1-1-11111-11-111-1-1-1-1-1-111-1-111-111-1
χ1111111111111-11-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-111-1
χ1211111111111-11-1-1-1111-1-1-1-1-1-11111-1-111-1-1111-1-11
χ1311111111111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1
χ1411111111111-1-1-1-1-1-1-1-111-111-1-1-111-1-11111-1-1-1-111
χ1511111111111-1-1-1-1-1-1-1-1-1111-1111-1-111-1-1-1-111-1-111
χ1611111111111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-111-1-1
χ17222222-2-2-2-22222-2-22-2-20-202000000000000000000
χ18222222-2-2-2-222-22-2-2-222020-2000000000000000000
χ19222222-2-2-2-22-22-2222-2-2020-2000000000000000000
χ20222222-2-2-2-22-2-2-222-2220-202000000000000000000
χ2122222-22-22-2-220-22-200000200-2002-2000000000000
χ2222222-22-22-2-220-22-200000-200200-22000000000000
χ2322222-22-22-2-2-202-2200000200-200-22000000000000
χ2422222-22-22-2-2-202-2200000-2002002-2000000000000
χ2522222-2-22-22-220-2-220002000-202-200000000000000
χ2622222-2-22-22-220-2-22000-200020-2200000000000000
χ2722222-2-22-22-2-2022-20002000-20-2200000000000000
χ2822222-2-22-22-2-2022-2000-2000202-200000000000000
χ29222-2-222-2-22-202000-22-200000000002i−2i002i−2i000000
χ30222-2-222-2-22-202000-22-20000000000−2i2i00−2i2i000000
χ31222-2-222-2-22-20-20002-2200000000002i−2i00−2i2i000000
χ32222-2-222-2-22-20-20002-220000000000−2i2i002i−2i000000
χ33222-2-22-222-2-202000-2-220000000000002i−2i002i−2i0000
χ34222-2-22-222-2-202000-2-22000000000000−2i2i00−2i2i0000
χ35222-2-22-222-2-20-200022-20000000000002i−2i00−2i2i0000
χ36222-2-22-222-2-20-200022-2000000000000−2i2i002i−2i0000
χ37444-4-4-444-4-44000000000000000000000000000000
χ38444-4-4-4-4-4444000000000000000000000000000000
χ3988-88-8000000000000000000000000000000000000
χ4088-8-88000000000000000000000000000000000000
χ4116-16000000000000000000000000000000000000000

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