Finite Group Databasebeta

← Group #241384

Character table — Group #241384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444444444444888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1
χ911111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-1-11-1
χ1011111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-11
χ1111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-11
χ1211111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11-1
χ1311111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-111-1-1-11
χ1411111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1111-1
χ1511111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1
χ1611111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1111-1-1-1-1-11
χ17222222222222222-2-22222-2-22-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ18222222222222222-2-22222-2-22-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ19222222222222-2-2-222-2-2-2-222-2-222-2-2-200000000000000000000000000000000002-2000000-22
χ20222222222222-2-2-222-2-2-2-222-2-222-2-2-20000000000000000000000000000000000-220000002-2
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222000000000000000000000000000000002-20000002-200
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-222200000000000000000000000000000000-22000000-2200
χ2322222222-2-2-2-2222-2-2-2-2-2-2-2-22-22222-222-2-2-2-222000000000000000000000000000000000000
χ2422222222-2-2-2-2222-2-2-2-2-2-2-2-22-22222-2-2-22222-2-2000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-222222222-2-2-2-222-2000000000000000000000000000000000022000000-2-2
χ2622222222-2-2-2-2-2-2-222222222-2-2-2-222-20000000000000000000000000000000000-2-200000022
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2222-2-22000000000000000000000000000000002-2000000-2200
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2222-2-2200000000000000000000000000000000-220000002-200
χ29222-2-2-22-222-2-22-2-20022-2-2002000000002-2002-2i2i2−i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ30222-2-2-22-222-2-22-2-20022-2-2002000000002-2002-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ31222-2-2-22-222-2-22-2-20022-2-200200000000-2200-22i2i2−i2−i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ32222-2-2-22-222-2-22-2-20022-2-200200000000-2200-22−i2−i2i2i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ33222-2-2-22-2-2-2222-2-200-2-222002000000002-200-22i2i2−i2−i2−i2−i2i2i200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ34222-2-2-22-2-2-2222-2-200-2-222002000000002-200-22−i2−i2i2i2i2i2−i2−i200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ35222-2-2-22-2-2-2222-2-200-2-22200200000000-22002-2i2i2−i2−i2−i2−i2i2i200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ36222-2-2-22-2-2-2222-2-200-2-22200200000000-22002-2−i2−i2i2i2i2i2−i2−i200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ372-2222-2-2-22-22-222-2222-22-2-2-2-2-22-22-220000000000000000000000002-22-22-22-2000000000000
χ382-2222-2-2-22-22-222-2222-22-2-2-2-2-22-22-22000000000000000000000000-22-22-22-22000000000000
χ392-2222-2-2-22-22-222-2-2-22-22-222-22-22-22-2000000002-22-22-22-20000000000000000000000000000
χ402-2222-2-2-22-22-222-2-2-22-22-222-22-22-22-200000000-22-22-22-220000000000000000000000000000
χ412-2222-2-2-22-22-2-2-2222-22-22-2-2222-2-22-2000000000000000022-2-222-2-200000000000000000000
χ422-2222-2-2-22-22-2-2-2222-22-22-2-2222-2-22-20000000000000000-2-222-2-22200000000000000000000
χ432-2222-2-2-22-22-2-2-22-2-2-22-22222-2-222-220000000000000000000000000000000000002i−2i2i−2i0000
χ442-2222-2-2-22-22-2-2-22-2-2-22-22222-2-222-22000000000000000000000000000000000000−2i2i−2i2i0000
χ452-2222-2-2-2-22-2222-222-22-22-2-2-2-2-22-2220000000000000000000000002-22-2-22-22000000000000
χ462-2222-2-2-2-22-2222-222-22-22-2-2-2-2-22-222000000000000000000000000-22-222-22-2000000000000
χ472-2222-2-2-2-22-2222-2-2-2-22-2222-222-22-2-2000000002-22-2-22-220000000000000000000000000000
χ482-2222-2-2-2-22-2222-2-2-2-22-2222-222-22-2-200000000-22-222-22-20000000000000000000000000000
χ492-2222-2-2-2-22-22-2-22222-22-2-2-222-222-2-2000000000000000022-2-2-2-22200000000000000000000
χ502-2222-2-2-2-22-22-2-22222-22-2-2-222-222-2-20000000000000000-2-22222-2-200000000000000000000
χ512-2222-2-2-2-22-22-2-22-2-22-22-2222-22-2-2220000000000000000000000000000000000002i−2i−2i2i0000
χ522-2222-2-2-2-22-22-2-22-2-22-22-2222-22-2-222000000000000000000000000000000000000−2i2i2i−2i0000
χ532-22-2-22-222-2-222-22002-2-2200-20000002-2002-200i2−i2−i2i2i2−i2−i2i200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ542-22-2-22-222-2-222-22002-2-2200-20000002-2002-200−i2i2i2−i2−i2i2i2−i200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ552-22-2-22-222-2-222-22002-2-2200-2000000-2200-2200i2−i2−i2i2i2−i2−i2i200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ562-22-2-22-222-2-222-22002-2-2200-2000000-2200-2200−i2i2i2−i2−i2i2i2−i200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ572-22-2-22-22-222-22-2200-222-200-20000002-200-2200i2−i2−i2i2−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ582-22-2-22-22-222-22-2200-222-200-20000002-200-2200−i2i2i2−i2i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ592-22-2-22-22-222-22-2200-222-200-2000000-22002-200i2−i2−i2i2−i2i2i2−i200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ602-22-2-22-22-222-22-2200-222-200-2000000-22002-200−i2i2i2−i2i2−i2−i2i200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ61444-4-4-44-444-4-4-44400-4-44400-400000000000000000000000000000000000000000000000000
χ62444-4-4-44-4-4-444-4440044-4-400-400000000000000000000000000000000000000000000000000
χ6344-44-44-4-400000004-400004-40000000000000000000000022−2222−22000000000000000000000000
χ6444-44-44-4-400000004-400004-400000000000000000000000−2222−2222000000000000000000000000
χ6544-44-44-4-40000000-440000-4400000000000000000000000000022−2222−2200000000000000000000
χ6644-44-44-4-40000000-440000-44000000000000000000000000000−2222−222200000000000000000000
χ674-44-4-44-444-4-44-44-400-444-400400000000000000000000000000000000000000000000000000
χ684-44-4-44-44-444-4-44-4004-4-4400400000000000000000000000000000000000000000000000000
χ694-4-44-4-44400000004-40000-440000000000000000000000022−22−2222000000000000000000000000
χ704-4-44-4-44400000004-40000-4400000000000000000000000−222222−22000000000000000000000000
χ714-4-44-4-4440000000-4400004-400000000000000000000000000022−22−222200000000000000000000
χ724-4-44-4-4440000000-4400004-4000000000000000000000000000−222222−2200000000000000000000
χ7388-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8-8888-8000000000000000000000000000000000000000000000000000000000000000000

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