Finite Group Databasebeta

← Group #241377

Character table — Group #241377

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
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
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
χ911111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-11
χ1111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-11-1-111-1-1-11
χ17222222222222222-2-2-222222-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ18222222222222222-2-2-222222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-2-2-2222-2-2-2-2-22-222-2-2-200000000000000000000000000000000002-2000000-22
χ20222222222222-2-2-2222-2-2-2-2-22-222-2-2-20000000000000000000000000000000000-220000002-2
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222000000000000000000000000000000000000002-22-200
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-222200000000000000000000000000000000000000-22-2200
χ2322222222-2-2-2-2222-2-2-2-2-2-2-22-2-22222-222-2-2-2-222000000000000000000000000000000000000
χ2422222222-2-2-2-2222-2-2-2-2-2-2-22-2-22222-2-2-22222-2-2000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-22222222-22-2-2-222-2000000000000000000000000000000000022000000-2-2
χ2622222222-2-2-2-2-2-2-22222222-22-2-2-222-20000000000000000000000000000000000-2-200000022
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2222-2-22000000000000000000000000000000000000002-2-2200
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2222-2-2200000000000000000000000000000000000000-222-200
χ292222-2-2-2-222-2-222-200022-2-2-200000002-22-2000022−2−222−2−20000000022−2−222−2−2000000000000
χ302222-2-2-2-222-2-222-200022-2-2-200000002-22-20000−2−222−2−22200000000−2−222−2−222000000000000
χ312222-2-2-2-222-2-222-200022-2-2-20000000-22-22000022−2−222−2−200000000−2−222−2−222000000000000
χ322222-2-2-2-222-2-222-200022-2-2-20000000-22-220000−2−222−2−2220000000022−2−222−2−2000000000000
χ332222-2-2-2-2-2-22222-2000-2-222-200000002-2-22000022−2−2−2−2220000000022−2−2−2−222000000000000
χ342222-2-2-2-2-2-22222-2000-2-222-200000002-2-220000−2−22222−2−200000000−2−22222−2−2000000000000
χ352222-2-2-2-2-2-22222-2000-2-222-20000000-222-2000022−2−2−2−22200000000−2−22222−2−2000000000000
χ362222-2-2-2-2-2-22222-2000-2-222-20000000-222-20000−2−22222−2−20000000022−2−2−2−222000000000000
χ3722-2-222-2-22-22-22-2222-22-22-2-2-2-22-22-220000000000000000000000002-22-22-22-2000000000000
χ3822-2-222-2-22-22-22-2222-22-22-2-2-2-22-22-22000000000000000000000000-22-22-22-22000000000000
χ3922-2-222-2-22-22-22-22-2-222-22-2-222-22-22-2000000002-22-22-22-20000000000000000000000000000
χ4022-2-222-2-22-22-22-22-2-222-22-2-222-22-22-200000000-22-22-22-220000000000000000000000000000
χ4122-2-222-2-22-22-2-22-222-2-22-222-222-2-22-2000000000000000022-2-222-2-200000000000000000000
χ4222-2-222-2-22-22-2-22-222-2-22-222-222-2-22-20000000000000000-2-222-2-22200000000000000000000
χ4322-2-222-2-22-22-2-22-2-2-22-22-2222-2-222-22000000000000000000000000000000002i−2i002i−2i000000
χ4422-2-222-2-22-22-2-22-2-2-22-22-2222-2-222-2200000000000000000000000000000000−2i2i00−2i2i000000
χ4522-2-222-2-2-22-222-2222-2-22-22-2-2-2-22-2220000000000000000000000002-22-2-22-22000000000000
χ4622-2-222-2-2-22-222-2222-2-22-22-2-2-2-22-222000000000000000000000000-22-222-22-2000000000000
χ4722-2-222-2-2-22-222-22-2-22-22-22-2222-22-2-2000000002-22-2-22-220000000000000000000000000000
χ4822-2-222-2-2-22-222-22-2-22-22-22-2222-22-2-200000000-22-222-22-20000000000000000000000000000
χ4922-2-222-2-2-22-22-22-222-22-22-22-22-222-2-2000000000000000022-2-2-2-22200000000000000000000
χ5022-2-222-2-2-22-22-22-222-22-22-22-22-222-2-20000000000000000-2-22222-2-200000000000000000000
χ5122-2-222-2-2-22-22-22-2-2-222-22-222-22-2-222000000000000000000000000000000002i−2i00−2i2i000000
χ5222-2-222-2-2-22-22-22-2-2-222-22-222-22-2-22200000000000000000000000000000000−2i2i002i−2i000000
χ5322-2-2-2-2222-2-222-2-20002-2-222000000000002-22-22−2−222−2−22000000002−2−222−2−22000000000000
χ5422-2-2-2-2222-2-222-2-20002-2-222000000000002-22-2−222−2−222−200000000−222−2−222−2000000000000
χ5522-2-2-2-2222-2-222-2-20002-2-22200000000000-22-222−2−222−2−2200000000−222−2−222−2000000000000
χ5622-2-2-2-2222-2-222-2-20002-2-22200000000000-22-22−222−2−222−2000000002−2−222−2−22000000000000
χ5722-2-2-2-222-222-22-2-2000-222-22000000000002-2-222−2−22−222−2000000002−2−22−222−2000000000000
χ5822-2-2-2-222-222-22-2-2000-222-22000000000002-2-22−222−22−2−2200000000−222−22−2−22000000000000
χ5922-2-2-2-222-222-22-2-2000-222-2200000000000-222-22−2−22−222−200000000−222−22−2−22000000000000
χ6022-2-2-2-222-222-22-2-2000-222-2200000000000-222-2−222−22−2−22000000002−2−22−222−2000000000000
χ614444-4-4-4-444-4-4-4-44000-4-4444000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-4400044-4-44000000000000000000000000000000000000000000000000000
χ6344-4-4-4-4444-4-44-444000-444-4-4000000000000000000000000000000000000000000000000000
χ6444-4-4-4-444-444-4-4440004-4-44-4000000000000000000000000000000000000000000000000000
χ654-44-44-44-400000004-4400000-4000000000000000000000022−2222−22000000000000000000000000
χ664-44-44-44-400000004-4400000-40000000000000000000000−2222−2222000000000000000000000000
χ674-44-44-44-40000000-44-4000004000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ684-44-44-44-40000000-44-400000400000000000000000000000000−2i22i2−2i22i200000000000000000000
χ694-4-444-4-4400000004-4-4000004000000000000000000000022−22−2222000000000000000000000000
χ704-4-444-4-4400000004-4-40000040000000000000000000000−222222−22000000000000000000000000
χ714-4-444-4-440000000-44400000-4000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ724-4-444-4-440000000-44400000-400000000000000000000000000−2i22i22i2−2i200000000000000000000
χ738-88-8-88-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-888-8000000000000000000000000000000000000000000000000000000000000000000

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