Finite Group Databasebeta

← Group #6493026

Character table — Group #6493026

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order12222222444444444444444422444444444444444444442222444444444444888888888888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ6111111111111111111111111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ91111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-11111-1-1-1-11-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ101111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-11111-1-1-1-11-11-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ121111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ131111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111111111-1-111-11-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ141111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111111111-1-111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ17111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ18111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-1-11111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ19111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-111-111-1-1-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ20111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-111-111-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ21111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-111-1
χ22111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-11-1-11
χ23111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-111-111-11-1-11
χ24111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1
χ25111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-111-1
χ26111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11
χ27111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-111-1-11
χ28111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1-111-1
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-111-11-111-11-1
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-11-11-1-11-11
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-11-11
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ3322222222-2222222222222-2-2-222-2-2-2-2-2-2222200002200000000-2-2-2-200000000000000000000000000000000
χ3422222222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-200000000222200000000000000000000000000000000
χ3522222222-22222-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-20000-2-200000000-22-2200000000000000000000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000022000000002-22-200000000000000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-2222222-2-2-2-2-2-2000022000000002-2-2200000000000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-22222-2-222220000-2-200000000-222-200000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-22222-2-222-2-2220000-2-20000000022-2-200000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-22222-2-200002200000000-2-22200000000000000000000000000000000
χ4122-222-2-2-2022-2-22i2i−2i−2i2i2i−2i−2i0002-20000002-22i−2i00002i−2i000000000000000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−200000000
χ4222-222-2-2-2022-2-22i2i−2i−2i2i2i−2i−2i0002-20000002-22i−2i00002i−2i00000000000000000000−22−22−i2i2−i2i2−i2i2−i2i2−22−2200000000
χ4322-222-2-2-2022-2-22i2i−2i−2i2i2i−2i−2i000-22000000-22−2i2i0000−2i2i000000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2−22−2200000000
χ4422-222-2-2-2022-2-22i2i−2i−2i2i2i−2i−2i000-22000000-22−2i2i0000−2i2i00000000000000000000−22−22i2−i2i2−i2−i2i2−i2i22−22−200000000
χ4522-222-2-2-2022-2-2−2i−2i2i2i−2i−2i2i2i0002-20000002-2−2i2i0000−2i2i000000000000000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−200000000
χ4622-222-2-2-2022-2-2−2i−2i2i2i−2i−2i2i2i0002-20000002-2−2i2i0000−2i2i00000000000000000000−22−22i2−i2i2−i2i2−i2i2−i2−22−2200000000
χ4722-222-2-2-2022-2-2−2i−2i2i2i−2i−2i2i2i000-22000000-222i−2i00002i−2i000000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2−22−2200000000
χ4822-222-2-2-2022-2-2−2i−2i2i2i−2i−2i2i2i000-22000000-222i−2i00002i−2i00000000000000000000−22−22−i2i2−i2i2i2−i2i2−i22−22−200000000
χ4922-222-2-2-20-2-2222i2i−2i−2i−2i−2i2i2i0002-2000000-22−2i2i00002i−2i000000000000000000002−2−22i2−i2−i2i2i2−i2−i2i22−2−2200000000
χ5022-222-2-2-20-2-2222i2i−2i−2i−2i−2i2i2i0002-2000000-22−2i2i00002i−2i00000000000000000000−222−2−i2i2i2−i2−i2i2i2−i2−222−200000000
χ5122-222-2-2-20-2-2222i2i−2i−2i−2i−2i2i2i000-220000002-22i−2i0000−2i2i000000000000000000002−2−22−i2i2i2−i2i2−i2−i2i2−222−200000000
χ5222-222-2-2-20-2-2222i2i−2i−2i−2i−2i2i2i000-220000002-22i−2i0000−2i2i00000000000000000000−222−2i2−i2−i2i2−i2i2i2−i22−2−2200000000
χ5322-222-2-2-20-2-222−2i−2i2i2i2i2i−2i−2i0002-2000000-222i−2i0000−2i2i000000000000000000002−2−22−i2i2i2−i2−i2i2i2−i22−2−2200000000
χ5422-222-2-2-20-2-222−2i−2i2i2i2i2i−2i−2i0002-2000000-222i−2i0000−2i2i00000000000000000000−222−2i2−i2−i2i2i2−i2−i2i2−222−200000000
χ5522-222-2-2-20-2-222−2i−2i2i2i2i2i−2i−2i000-220000002-2−2i2i00002i−2i000000000000000000002−2−22i2−i2−i2i2−i2i2i2−i2−222−200000000
χ5622-222-2-2-20-2-222−2i−2i2i2i2i2i−2i−2i000-220000002-2−2i2i00002i−2i00000000000000000000−222−2−i2i2i2−i2i2−i2−i2i22−2−2200000000
χ572-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i-2-22002-22i−2i2i−2i00000000000000002-20000002i−2i2-22i−2i000000000000000000000000
χ582-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i-2-22002-22i−2i2i−2i0000000000000000-22000000−2i2i-22−2i2i000000000000000000000000
χ592-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i-2-22002-2−2i2i−2i2i00000000000000002-2000000−2i2i2-2−2i2i000000000000000000000000
χ602-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i-2-22002-2−2i2i−2i2i0000000000000000-220000002i−2i-222i−2i000000000000000000000000
χ612-222-22-2-22-22-222i−2i2i−2i−2i2i−2i2i-2-2200-22−2i2i2i−2i00000000000000002-2000000−2i2i-222i−2i000000000000000000000000
χ622-222-22-2-22-22-222i−2i2i−2i−2i2i−2i2i-2-2200-22−2i2i2i−2i0000000000000000-220000002i−2i2-2−2i2i000000000000000000000000
χ632-222-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i-2-2200-222i−2i−2i2i00000000000000002-20000002i−2i-22−2i2i000000000000000000000000
χ642-222-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i-2-2200-222i−2i−2i2i0000000000000000-22000000−2i2i2-22i−2i000000000000000000000000
χ652-222-22-2-2-22-22-22i−2i2i−2i2i−2i2i−2i22-200-22−2i2i−2i2i00002i2i−2i−2i002i2i−2i−2i2-20000002-2000000000000000000000000000000
χ662-222-22-2-2-22-22-22i−2i2i−2i2i−2i2i−2i22-200-22−2i2i−2i2i0000−2i−2i2i2i00−2i−2i2i2i-22000000-22000000000000000000000000000000
χ672-222-22-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-200-222i−2i2i−2i00002i2i−2i−2i002i2i−2i−2i-22000000-22000000000000000000000000000000
χ682-222-22-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-200-222i−2i2i−2i0000−2i−2i2i2i00−2i−2i2i2i2-20000002-2000000000000000000000000000000
χ692-222-22-2-2-2-22-222i−2i2i−2i−2i2i−2i2i22-2002-22i−2i−2i2i00002i2i−2i−2i00−2i−2i2i2i2-2000000-22000000000000000000000000000000
χ702-222-22-2-2-2-22-222i−2i2i−2i−2i2i−2i2i22-2002-22i−2i−2i2i0000−2i−2i2i2i002i2i−2i−2i-220000002-2000000000000000000000000000000
χ712-222-22-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i22-2002-2−2i2i2i−2i00002i2i−2i−2i00−2i−2i2i2i-220000002-2000000000000000000000000000000
χ722-222-22-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i22-2002-2−2i2i2i−2i0000−2i−2i2i2i002i2i−2i−2i2-2000000-22000000000000000000000000000000
χ7344-4-4-44-4440000000000004-4-40000000000004i−4i4i−4i0000000000000000000000000000000000000000000000
χ7444-4-4-44-4440000000000004-4-4000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ7544-4-4-44-44-4000000000000-4440000000000000000004-44-40000000000000000000000000000000000000000
χ7644-4-4-44-44-4000000000000-444000000000000000000-44-440000000000000000000000000000000000000000
χ774-4-44-4-44404-4-444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000
χ784-4-44-4-44404-4-44-444-4-444-400000000000000000000000000000000000000000000000000000000000000000
χ794-4-44-4-4440-444-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000
χ804-4-44-4-4440-444-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000
χ814-4-4-4444-44000000000000-44-40000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ824-4-4-4444-44000000000000-44-4000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ834-4-4-4444-4-40000000000004-440000000000004-4-440000000000000000000000000000000000000000000000
χ844-4-4-4444-4-40000000000004-44000000000000-444-40000000000000000000000000000000000000000000000
χ85888-8-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000

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