Finite Group Databasebeta

← Group #242004

Character table — Group #242004

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222444444444444444444444444444444444444448888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ17222222222222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-200002200000000000000000000000000000000
χ18222222222222222222-2-222-2-2-2-2-2-2-2-2-2-222220000-2-200000000000000000000000000000000
χ19222222222222-2-2-2-2-2-222-2-22222-2-2-2-200000022-2-200-2-2220000000000000000000000000000
χ20222222222222-2-2-2-2-2-222-2-22222-2-2-2-2000000-2-2220022-2-20000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-22222-2-222-2-222-2-222-2-2000000222200-2-2-2-20000000000000000000000000000
χ2422222222-2-2-2-22222-2-222-2-222-2-222-2-2000000-2-2-2-20022220000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000002-2-22000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-222-2-2220000-2-200000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-222-2-200002200000000000000000000000000000000
χ29222-2-22-2-222-2-222-2-2-2-20022000000002-2000000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ30222-2-22-2-222-2-222-2-2-2-20022000000002-2000000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ31222-2-22-2-222-2-222-2-2-2-2002200000000-2200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ32222-2-22-2-222-2-222-2-2-2-2002200000000-2200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ33222-2-22-2-2-2-222-2-222-2-20022000000002-200000000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ34222-2-22-2-2-2-222-2-222-2-20022000000002-200000000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ35222-2-22-2-2-2-222-2-222-2-2002200000000-22000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ36222-2-22-2-2-2-222-2-222-2-2002200000000-22000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ372-2-22-222-22i−2i2i−2i2i−2i2i−2i2-2002-200000000002-22i−2i0000000000i2−i2i2−i22−22−2i2−i2i2−i22−22−2000000000000
χ382-2-22-222-22i−2i2i−2i2i−2i2i−2i2-2002-200000000002-22i−2i0000000000−i2i2−i2i2−22−22−i2i2−i2i2−22−22000000000000
χ392-2-22-222-22i−2i2i−2i2i−2i2i−2i2-2002-20000000000-22−2i2i0000000000i2−i2i2−i22−22−2−i2i2−i2i2−22−22000000000000
χ402-2-22-222-22i−2i2i−2i2i−2i2i−2i2-2002-20000000000-22−2i2i0000000000−i2i2−i2i2−22−22i2−i2i2−i22−22−2000000000000
χ412-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-2002-200000000002-2−2i2i0000000000i2−i2i2−i2−22−22i2−i2i2−i2−22−22000000000000
χ422-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-2002-200000000002-2−2i2i0000000000−i2i2−i2i22−22−2−i2i2−i2i22−22−2000000000000
χ432-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-2002-20000000000-222i−2i0000000000i2−i2i2−i2−22−22−i2i2−i2i22−22−2000000000000
χ442-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-2002-20000000000-222i−2i0000000000−i2i2−i2i22−22−2i2−i2i2−i2−22−22000000000000
χ452-2-2-222-222i−2i−2i2i2i−2i−2i2i-222-22-22-22i−2i2i−2i2-20000000000000000000000002-2-22−2i2i2i−2i000000000000
χ462-2-2-222-222i−2i−2i2i2i−2i−2i2i-222-22-22-22i−2i2i−2i2-2000000000000000000000000-222-22i−2i−2i2i000000000000
χ472-2-2-222-222i−2i−2i2i2i−2i−2i2i-22-222-2-22−2i2i−2i2i-2200000000000000002-2-22−2i2i2i−2i00000000000000000000
χ482-2-2-222-222i−2i−2i2i2i−2i−2i2i-22-222-2-22−2i2i−2i2i-220000000000000000-222-22i−2i−2i2i00000000000000000000
χ492-2-2-222-222i−2i−2i2i−2i2i2i−2i2-22-2-222-22i−2i−2i2i-2200000000000000000000000000000000000000002-22i−2i
χ502-2-2-222-222i−2i−2i2i−2i2i2i−2i2-22-2-222-22i−2i−2i2i-220000000000000000000000000000000000000000-22−2i2i
χ512-2-2-222-222i−2i−2i2i−2i2i2i−2i2-2-22-22-22−2i2i2i−2i2-2000000000000000000000000000000002i−2i00002-20000
χ522-2-2-222-222i−2i−2i2i−2i2i2i−2i2-2-22-22-22−2i2i2i−2i2-200000000000000000000000000000000−2i2i0000-220000
χ532-2-2-222-22−2i2i2i−2i2i−2i−2i2i2-22-2-222-2−2i2i2i−2i-2200000000000000000000000000000000000000002-2−2i2i
χ542-2-2-222-22−2i2i2i−2i2i−2i−2i2i2-22-2-222-2−2i2i2i−2i-220000000000000000000000000000000000000000-222i−2i
χ552-2-2-222-22−2i2i2i−2i2i−2i−2i2i2-2-22-22-222i−2i−2i2i2-2000000000000000000000000000000002i−2i0000-220000
χ562-2-2-222-22−2i2i2i−2i2i−2i−2i2i2-2-22-22-222i−2i−2i2i2-200000000000000000000000000000000−2i2i00002-20000
χ572-2-2-222-22−2i2i2i−2i−2i2i2i−2i-222-22-22-2−2i2i−2i2i2-20000000000000000000000002-2-222i−2i−2i2i000000000000
χ582-2-2-222-22−2i2i2i−2i−2i2i2i−2i-222-22-22-2−2i2i−2i2i2-2000000000000000000000000-222-2−2i2i2i−2i000000000000
χ592-2-2-222-22−2i2i2i−2i−2i2i2i−2i-22-222-2-222i−2i2i−2i-2200000000000000002-2-222i−2i−2i2i00000000000000000000
χ602-2-2-222-22−2i2i2i−2i−2i2i2i−2i-22-222-2-222i−2i2i−2i-220000000000000000-222-2−2i2i2i−2i00000000000000000000
χ61444-4-44-4-444-4-4-4-4444400-4-40000000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-4-44444-4-44400-4-40000000000000000000000000000000000000000000000000000
χ6344-44-4-4-4400000000004400-4-4000000000000000000004-40000000000000000000000000000
χ6444-44-4-4-4400000000004400-4-400000000000000000000-440000000000000000000000000000
χ6544-44-4-4-440000000000-4-400440000000000000000004i−4i000000000000000000000000000000
χ6644-44-4-4-440000000000-4-40044000000000000000000−4i4i000000000000000000000000000000
χ674-44-4-4-44400000000004-400-44000000000000004i−4i0000000000000000000000000000000000
χ684-44-4-4-44400000000004-400-4400000000000000−4i4i0000000000000000000000000000000000
χ694-44-4-4-4440000000000-44004-40000000000004i−4i000000000000000000000000000000000000
χ704-44-4-4-4440000000000-44004-4000000000000−4i4i000000000000000000000000000000000000
χ714-4-44-444-44i−4i4i−4i−4i4i−4i4i-4400-440000000000000000000000000000000000000000000000000000
χ724-4-44-444-4−4i4i−4i4i4i−4i4i−4i-4400-440000000000000000000000000000000000000000000000000000
χ7388-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000000

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