Finite Group Databasebeta

← Group #7534642

Character table — Group #7534642

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111111122222222222244444444444444444444444444444444448888888888888888888888888881616161616161616
order12222222444444444444222244444444444444888888888888888822224444444444444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1
χ31111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-11
χ511111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ611111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-111-1
χ811111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1111111
χ91111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1111
χ101111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1111-1
χ111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1
χ121111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111111-1-1111111-1-111-1-1-11
χ131111111111111-1-1-1-1111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-11
χ141111111111111-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1111-1-1-1
χ151111111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1
χ161111111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111
χ1711111111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1-11-1-1
χ1811111111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-11-1-1-1-1-1-1-1-1111111-1-111-111-111-11
χ1911111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-11-111-111
χ2011111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1111-1-1111111-1-11111-1-1111-1-11-1-11-1
χ2111111111-1-1-1-111111111-1-111-1-111-1-111-1-1111111111111-1-1-1-11111-11-1-11111-11-1-1-111-1-111-1-1-1-1-1-111-11-11-1-11-1
χ2211111111-1-1-1-111111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-11-1-1-1-1-111-1-1111111-1-11-1-111-111
χ2311111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1111-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111-11-111-11
χ2411111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-11-11111-1-111111111-1-1-111-1-11-1-1
χ2511111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-111-1-111-11-1111-1-1
χ2611111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1111-1-1111-11-1-1-1-1-1-11111-1-111-1-11-1-11-11-11
χ2711111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111111-1111-1-1-1-111-1-111-1-1111-11-1-1-111
χ2811111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11-11111111-1-111-1-111-1-1-111-11-11-1
χ2911111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-11-1
χ3011111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-111-1-111-111-1-1-1-111-1-111-1-1-1-111-111-1-1-111
χ3111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-11111-1-111-1-1-1-11111-1-1-11-11-11-11
χ3211111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-1-1111111-1-11111-1-1-1-1111-1-1111-1-1
χ33222222222222-22222-2-2-22222-2-2-2-222222200000000000000000000-2-2000000-2-2-2000000000000000000000000
χ34222222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000002200000022-2000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-20000000000000000000022000000-2-22000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000-2-2000000222000000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-222-2-222-2-222-2-2-2-200000000000000000000-22000000-222000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-22222-2-2-2-222-2-2000000000000000000002-20000002-22000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-22222000000000000000000002-2000000-22-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22200000000000000000000-220000002-2-2000000000000000000000000
χ41222-22-2-2-222-2-2-200002-2200002-2000000002i2i−2i−2i0000000022-2-222-2-2000000000002i−2i002i−2i2i−2i0000000000000000
χ42222-22-2-2-222-2-2-200002-2200002-2000000002i2i−2i−2i00000000-2-222-2-222000000000002i−2i00−2i2i−2i2i0000000000000000
χ43222-22-2-2-222-2-2-200002-2200002-200000000−2i−2i2i2i0000000022-2-222-2-200000000000−2i2i00−2i2i−2i2i0000000000000000
χ44222-22-2-2-222-2-2-200002-2200002-200000000−2i−2i2i2i00000000-2-222-2-22200000000000−2i2i002i−2i2i−2i0000000000000000
χ45222-22-2-2-2-2-222-200002-220000-22000000002i2i−2i−2i0000000022-2-2-2-22200000000000−2i2i002i−2i−2i2i0000000000000000
χ46222-22-2-2-2-2-222-200002-220000-22000000002i2i−2i−2i00000000-2-22222-2-200000000000−2i2i00−2i2i2i−2i0000000000000000
χ47222-22-2-2-2-2-222-200002-220000-2200000000−2i−2i2i2i0000000022-2-2-2-222000000000002i−2i00−2i2i2i−2i0000000000000000
χ48222-22-2-2-2-2-222-200002-220000-2200000000−2i−2i2i2i00000000-2-22222-2-2000000000002i−2i002i−2i−2i2i0000000000000000
χ492-222-22-2-22-22-202i2i−2i−2i0002-22-200002i−2i2i−2i2i−2i000022−2−2i2i2−i2−i22−22−22−22−200000000000000000002−2i2−i2i2−i2i2−i200000000
χ502-222-22-2-22-22-202i2i−2i−2i0002-22-200002i−2i2i−2i2i−2i0000−2−222−i2−i2i2i2−22−22−22−220000000000000000000−22−i2i2−i2i2−i2i200000000
χ512-222-22-2-22-22-202i2i−2i−2i000-22-220000−2i2i−2i2i2i−2i000022−2−2i2i2−i2−i2−22−22−22−2200000000000000000002−2i2−i2−i2i2−i2i200000000
χ522-222-22-2-22-22-202i2i−2i−2i000-22-220000−2i2i−2i2i2i−2i0000−2−222−i2−i2i2i22−22−22−22−20000000000000000000−22−i2i2i2−i2i2−i200000000
χ532-222-22-2-22-22-20−2i−2i2i2i0002-22-20000−2i2i−2i2i−2i2i000022−2−2−i2−i2i2i22−22−22−22−200000000000000000002−2−i2i2−i2i2−i2i200000000
χ542-222-22-2-22-22-20−2i−2i2i2i0002-22-20000−2i2i−2i2i−2i2i0000−2−222i2i2−i2−i2−22−22−22−220000000000000000000−22i2−i2i2−i2i2−i200000000
χ552-222-22-2-22-22-20−2i−2i2i2i000-22-2200002i−2i2i−2i−2i2i000022−2−2−i2−i2i2i2−22−22−22−2200000000000000000002−2−i2i2i2−i2i2−i200000000
χ562-222-22-2-22-22-20−2i−2i2i2i000-22-2200002i−2i2i−2i−2i2i0000−2−222i2i2−i2−i22−22−22−22−20000000000000000000−22i2−i2−i2i2−i2i200000000
χ572-222-22-2-2-22-2202i2i−2i−2i0002-2-2200002i−2i−2i2i−2i2i000022−2−2i2i2−i2−i22−22−2−22−220000000000000000000−22−i2i2i2−i2−i2i200000000
χ582-222-22-2-2-22-2202i2i−2i−2i0002-2-2200002i−2i−2i2i−2i2i0000−2−222−i2−i2i2i2−22−222−22−200000000000000000002−2i2−i2−i2i2i2−i200000000
χ592-222-22-2-2-22-2202i2i−2i−2i000-222-20000−2i2i2i−2i−2i2i000022−2−2i2i2−i2−i2−22−222−22−20000000000000000000−22−i2i2−i2i2i2−i200000000
χ602-222-22-2-2-22-2202i2i−2i−2i000-222-20000−2i2i2i−2i−2i2i0000−2−222−i2−i2i2i22−22−2−22−2200000000000000000002−2i2−i2i2−i2−i2i200000000
χ612-222-22-2-2-22-220−2i−2i2i2i0002-2-220000−2i2i2i−2i2i−2i000022−2−2−i2−i2i2i22−22−2−22−220000000000000000000−22i2−i2−i2i2i2−i200000000
χ622-222-22-2-2-22-220−2i−2i2i2i0002-2-220000−2i2i2i−2i2i−2i0000−2−222i2i2−i2−i2−22−222−22−200000000000000000002−2−i2i2i2−i2−i2i200000000
χ632-222-22-2-2-22-220−2i−2i2i2i000-222-200002i−2i−2i2i2i−2i000022−2−2−i2−i2i2i2−22−222−22−20000000000000000000−22i2−i2i2−i2−i2i200000000
χ642-222-22-2-2-22-220−2i−2i2i2i000-222-200002i−2i−2i2i2i−2i0000−2−222i2i2−i2−i22−22−2−22−2200000000000000000002−2−i2i2−i2i2i2−i200000000
χ652-2-222-22-2000022-22-22-2-20000002-20000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000002i−2i2-2000002-200000000000000000000
χ662-2-222-22-2000022-22-22-2-20000002-20000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000002i−2i-2200000-2200000000000000000000
χ672-2-222-22-2000022-22-22-2-20000002-2000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000−2i2i-2200000-2200000000000000000000
χ682-2-222-22-2000022-22-22-2-20000002-2000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000−2i2i2-2000002-200000000000000000000
χ692-2-222-22-200002-22-222-2-2000000-220000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000−2i2i-22000002-200000000000000000000
χ702-2-222-22-200002-22-222-2-2000000-220000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000−2i2i2-200000-2200000000000000000000
χ712-2-222-22-200002-22-222-2-2000000-22000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000002i−2i2-200000-2200000000000000000000
χ722-2-222-22-200002-22-222-2-2000000-22000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000002i−2i-22000002-200000000000000000000
χ73444-44-4-4-444-4-440000-44-40000-44000000000000000000000000000000000000000000000000000000000000000
χ74444-44-4-4-4-4-44440000-44-400004-4000000000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44000004i−4i−4i4i0000000000000000000002i2−2i2−2i22i2−222222−220000000000000000000000000000000000000000000
χ7644-44-4-4-44000004i−4i−4i4i000000000000000000000−2i22i22i2−2i222−22−22220000000000000000000000000000000000000000000
χ7744-44-4-4-4400000−4i4i4i−4i0000000000000000000002i2−2i2−2i22i222−22−22220000000000000000000000000000000000000000000
χ7844-44-4-4-4400000−4i4i4i−4i000000000000000000000−2i22i22i2−2i2−222222−220000000000000000000000000000000000000000000
χ794-44-4-4-4444-4-44000000000000000000000000000000000022−22−222222−22−222200000000000000000000000000000000000
χ804-44-4-4-4444-4-440000000000000000000000000000000000−222222−22−222222−2200000000000000000000000000000000000
χ814-44-4-4-444-444-4000000000000000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ824-44-4-4-444-444-40000000000000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ834-4-444-44-40000-44-44-4-444000000-440000000000000000000000000000000000000000000000000000000000000
χ844-4-444-44-40000-4-44-44-4440000004-40000000000000000000000000000000000000000000000000000000000000
χ854-4-4-444-44000040000-4-440000000000000000000000000000000000004-40000000000000000000000000000000
χ864-4-4-444-44000040000-4-44000000000000000000000000000000000000-440000000000000000000000000000000
χ874-4-4-444-440000-4000044-4000000000000004-4-44000000000000000000000000000000000000000000000000000
χ884-4-4-444-440000-4000044-400000000000000-444-4000000000000000000000000000000000000000000000000000
χ8988-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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