Finite Group Databasebeta

← Group #404332

Character table — Group #404332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222222222222444444444444222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-2000022-2-20000000000002200002200002-2-2-20000-2-2000000000000
χ1822222222222-2-2-2-2-2-2-22-2000022-2-2000000000000-2-20000-2-200002-222000022000000000000
χ1922222222222-2-2-2-2-2-2-22-20000-2-222000000000000220000-2-20000-22-2-2000022000000000000
χ2022222222222-2-2-2-2-2-2-22-20000-2-222000000000000-2-20000220000-22220000-2-2000000000000
χ2122222222-2-2-2222-2-2-2-2-22000022-2-20000000022-2-20000000022-2-2-2200000000000000000000
χ2222222222-2-2-2222-2-2-2-2-22000022-2-200000000-2-22200000000-2-222-2200000000000000000000
χ2322222222-2-2-2222-2-2-2-2-220000-2-2220000000022-2-200000000-2-2222-200000000000000000000
χ2422222222-2-2-2222-2-2-2-2-220000-2-22200000000-2-2220000000022-2-22-200000000000000000000
χ2522222222-2-2-2-2-2-22222-2-222222222-2-2-2-2000000000022-2-2000000-2-200000000000000000000
χ2622222222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-2220000002200000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2222222220000000000-2-222000000-2-200000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000022-2-20000002200000000000000000000
χ29222-2-2-22-222-22-2-22-22-2-222i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000002-22i−2i0000
χ30222-2-2-22-222-22-2-22-22-2-222i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000000000-22−2i2i0000
χ31222-2-2-22-222-22-2-22-22-2-22−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000000002-2−2i2i0000
χ32222-2-2-22-222-22-2-22-22-2-22−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000000000000000-222i−2i0000
χ33222-2-2-22-2-2-22-2222-22-22-22i2i−2i−2i0000−2i−2i2i2i000000000000000000000000000000000000002i−2i2-2
χ34222-2-2-22-2-2-22-2222-22-22-22i2i−2i−2i0000−2i−2i2i2i00000000000000000000000000000000000000−2i2i-22
χ35222-2-2-22-2-2-22-2222-22-22-2−2i−2i2i2i00002i2i−2i−2i000000000000000000000000000000000000002i−2i-22
χ36222-2-2-22-2-2-22-2222-22-22-2−2i−2i2i2i00002i2i−2i−2i00000000000000000000000000000000000000−2i2i2-2
χ3722-222-2-2-22-22-22-2-222-2-222i−2i2i−2i00002i−2i2i−2i22-2-2000000000000000000000000002i−2i0000000000
χ3822-222-2-2-22-22-22-2-222-2-222i−2i2i−2i00002i−2i2i−2i-2-22200000000000000000000000000−2i2i0000000000
χ3922-222-2-2-22-22-22-2-222-2-22−2i2i−2i2i0000−2i2i−2i2i22-2-200000000000000000000000000−2i2i0000000000
χ4022-222-2-2-22-22-22-2-222-2-22−2i2i−2i2i0000−2i2i−2i2i-2-222000000000000000000000000002i−2i0000000000
χ4122-222-2-2-2-22-22-22-222-22-22i−2i2i−2i0000−2i2i−2i2i0000000000000000000000002i2i−2i−2i00002-200000000
χ4222-222-2-2-2-22-22-22-222-22-22i−2i2i−2i0000−2i2i−2i2i000000000000000000000000−2i−2i2i2i0000-2200000000
χ4322-222-2-2-2-22-22-22-222-22-2−2i2i−2i2i00002i−2i2i−2i0000000000000000000000002i2i−2i−2i0000-2200000000
χ4422-222-2-2-2-22-22-22-222-22-2−2i2i−2i2i00002i−2i2i−2i000000000000000000000000−2i−2i2i2i00002-200000000
χ4522-2-2-22-222-2-222-222-2-22-200000000000000000000002i−2i2i−2i2-22i−2i2i−2i000000002-2000000000000
χ4622-2-2-22-222-2-222-222-2-22-200000000000000000000002i−2i2i−2i-22−2i2i−2i2i00000000-22000000000000
χ4722-2-2-22-222-2-222-222-2-22-20000000000000000000000−2i2i−2i2i2-2−2i2i−2i2i000000002-2000000000000
χ4822-2-2-22-222-2-222-222-2-22-20000000000000000000000−2i2i−2i2i-222i−2i2i−2i00000000-22000000000000
χ4922-2-2-22-222-2-2-2-22-2-222222-2-2200002-2-2200002-22-20000002-2000000000000-22000000000000
χ5022-2-2-22-222-2-2-2-22-2-222222-2-2200002-2-220000-22-22000000-220000000000002-2000000000000
χ5122-2-2-22-222-2-2-2-22-2-22222-222-20000-222-200002-22-2000000-220000000000002-2000000000000
χ5222-2-2-22-222-2-2-2-22-2-22222-222-20000-222-20000-22-220000002-2000000000000-22000000000000
χ5322-2-2-22-22-22222-2-2-222-2-22-2-220000-222-2000000002i−2i0000002i−2i−2i2i002i−2i000000000000000000
χ5422-2-2-22-22-22222-2-2-222-2-22-2-220000-222-200000000−2i2i000000−2i2i2i−2i00−2i2i000000000000000000
χ5522-2-2-22-22-22222-2-2-222-2-2-222-200002-2-22000000002i−2i000000−2i2i2i−2i002i−2i000000000000000000
χ5622-2-2-22-22-22222-2-2-222-2-2-222-200002-2-2200000000−2i2i0000002i−2i−2i2i00−2i2i000000000000000000
χ5722-2-2-22-22-222-2-2222-2-2-2200000000000000002-2-222i−2i2i−2i−2i2i00000000−2i2i000000000000000000
χ5822-2-2-22-22-222-2-2222-2-2-2200000000000000002-2-22−2i2i−2i2i2i−2i000000002i−2i000000000000000000
χ5922-2-2-22-22-222-2-2222-2-2-220000000000000000-222-22i−2i−2i2i2i−2i00000000−2i2i000000000000000000
χ6022-2-2-22-22-222-2-2222-2-2-220000000000000000-222-2−2i2i2i−2i−2i2i000000002i−2i000000000000000000
χ61444-4-4-44-444-4-444-44-44-4-4000000000000000000000000000000000000000000000000000000
χ62444-4-4-44-4-4-444-4-4-44-4444000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-44-444-444-4-44-4-4000000000000000000000000000000000000000000000000000000
χ6444-444-4-4-4-44-4-44-44-4-4444000000000000000000000000000000000000000000000000000000
χ654-444-44-4-40000000000000000004i−4i00002-22-2000000000000000000002i−2i2i−2i00000000000000
χ664-444-44-4-40000000000000000004i−4i0000-22-2200000000000000000000−2i2i−2i2i00000000000000
χ674-444-44-4-4000000000000000000−4i4i00002-22-200000000000000000000−2i2i−2i2i00000000000000
χ684-444-44-4-4000000000000000000−4i4i0000-22-22000000000000000000002i−2i2i−2i00000000000000
χ694-4-44-4-44400000000000000004-40000002-2-22000000000000000000002-2-2200000000000000
χ704-4-44-4-44400000000000000004-4000000-222-200000000000000000000-222-200000000000000
χ714-4-44-4-4440000000000000000-440000002-2-2200000000000000000000-222-200000000000000
χ724-4-44-4-4440000000000000000-44000000-222-2000000000000000000002-2-2200000000000000
χ738-88-88-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8-8888-8000000000000000000000000000000000000000000000000000000000000000000

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