Finite Group Databasebeta

← Group #7519339

Character table — Group #7519339

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111111122222222222244444444444444444444444444444444448888888888888888888888888881616161616161616
order12222222444444444444222222444444444444888888888888888844444444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111-11-11-1-1
χ311111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-111-111111-1-1-111-1-1-11111-1-1-1-1-1-11-1-1-11-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111-11111-111-1-1-1-11111-1-1-1-11-1-11
χ51111111111111111111111-1-1-1-11111111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-11-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1111111-1-1-1-111-1111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ9111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-111-111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-1-1
χ10111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111-1-11-1-11111-1-1111-111-1-111
χ11111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1111111111-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-11
χ12111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-111111111-1-1-111-1111-1
χ13111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111-111111-1-1-1-1-1-111-1-1-111-1-1111
χ14111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1-1-1111111111-1-111-11-1-111-1-1
χ15111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-1111-1111-11-1
χ16111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-11111111-1-1-1111111-1-11-1-11-1-1-11
χ1711111111-1-1-1-111111111-1-111111111-1-111-1-1-1-11111-1-1-1-111111111111-1-11-1-1-111-111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1
χ1811111111-1-1-1-111111111-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-111111111-1-11-111
χ1911111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-11111-1-11111-11
χ2011111111-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-111111-1-1111-1-111-1-1-1-1-1-1-11-111-1
χ2111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111111
χ2211111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1111111-1-111-11-1-1
χ2311111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111111111-1-1111111-1-1-1-11-1
χ2411111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111111111-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111-11-1-11
χ2511111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-1-11-1-11-1-111-111-1-111-1-1111-1-1-1-1111
χ2611111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-111111-1-1-111-1-111-1-11-11-111-1-1
χ2711111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-111111-1-1-1-11111-1-1-11-111-11-1
χ2811111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111-1-1-1-1-11111111-1-1-1-111-1111-1-1-11
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-111-11111-1-1-1
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1111-1-11111-1-1-1-1-11111-1-111-1-1-11-11-1-111
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-111111-1-1-1-1-1111-1-11111-1-11-11-1-11-11
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111111-1-1-1111-111-1-11-1-111-1-1-1-1111-1-1-1111-1
χ332222222222222222-2-2-2-2-2-20000222222-2-22222000000000000000000-200-200-200-20000-2000000000000000000
χ342222222222222222-2-2-2-2-2-20000-2-2-2-2-2-2-2-222-2-2000000000000000000200200-200200002000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2000022-2-22222-2-2-2-2000000000000000000200-20020020000-2000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-20000-2-222-2-222-2-222000000000000000000-200200200-200002000000000000000000
χ3722222222-2-2-2-22222-2-2-2-22200002222-2-2-2-2-2-2-2-2000000000000000000-200-200200200002000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2220000-2-2-2-222-2-2-2-222000000000000000000200200200-20000-2000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222000022-2-2-2-2222222000000000000000000200-200-200-200002000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2220000-2-222222222-2-2000000000000000000-200200-20020000-2000000000000000000
χ41222-22-2-2-222-2-2000022-2-22-222-2-200000000000022-2-222-2-2000000002-202-202-2000000000000000000000000000
χ42222-22-2-2-222-2-2000022-2-22-222-2-2000000000000-2-222-2-22200000000-2202-20-22000000000000000000000000000
χ43222-22-2-2-222-2-2000022-2-22-2-2-22200000000000022-2-222-2-200000000-220-220-22000000000000000000000000000
χ44222-22-2-2-222-2-2000022-2-22-2-2-222000000000000-2-222-2-222000000002-20-2202-2000000000000000000000000000
χ45222-22-2-2-2-2-222000022-2-2-2222-2-200000000000022-2-2-2-222000000002-20-220-22000000000000000000000000000
χ46222-22-2-2-2-2-222000022-2-2-2222-2-2000000000000-2-22222-2-200000000-220-2202-2000000000000000000000000000
χ47222-22-2-2-2-2-222000022-2-2-22-2-22200000000000022-2-2-2-22200000000-2202-202-2000000000000000000000000000
χ48222-22-2-2-2-2-222000022-2-2-22-2-222000000000000-2-22222-2-2000000002-202-20-22000000000000000000000000000
χ492-222-2-2-222i−2i2i−2i2i2i−2i−2i00000000002-22i−2i2i−2i002-22-22−22−2i2−i2i2−i222−2−2i2i2−i2−i20000000000000000000i2−i22−2i2−i22−200000000
χ502-222-2-2-222i−2i2i−2i2i2i−2i−2i00000000002-22i−2i2i−2i002-22-2−22−22−i2i2−i2i2−2−222−i2−i2i2i20000000000000000000−i2i2−22−i2i2−2200000000
χ512-222-2-2-222i−2i2i−2i2i2i−2i−2i0000000000-22−2i2i−2i2i002-2-222−22−2i2−i2i2−i2−2−222−i2−i2i2i20000000000000000000i2−i22−2−i2i2−2200000000
χ522-222-2-2-222i−2i2i−2i2i2i−2i−2i0000000000-22−2i2i−2i2i002-2-22−22−22−i2i2−i2i222−2−2i2i2−i2−i20000000000000000000−i2i2−22i2−i22−200000000
χ532-222-2-2-222i−2i2i−2i−2i−2i2i2i00000000002-2−2i2i2i−2i00-22-222−22−2i2−i2i2−i222−2−2−i2−i2i2i20000000000000000000−i2i2−22i2−i2−2200000000
χ542-222-2-2-222i−2i2i−2i−2i−2i2i2i00000000002-2−2i2i2i−2i00-22-22−22−22−i2i2−i2i2−2−222i2i2−i2−i20000000000000000000i2−i22−2−i2i22−200000000
χ552-222-2-2-222i−2i2i−2i−2i−2i2i2i0000000000-222i−2i−2i2i00-222-22−22−2i2−i2i2−i2−2−222i2i2−i2−i20000000000000000000−i2i2−22−i2i22−200000000
χ562-222-2-2-222i−2i2i−2i−2i−2i2i2i0000000000-222i−2i−2i2i00-222-2−22−22−i2i2−i2i222−2−2−i2−i2i2i20000000000000000000i2−i22−2i2−i2−2200000000
χ572-222-2-2-22−2i2i−2i2i2i2i−2i−2i00000000002-22i−2i−2i2i00-22-222−22−2−i2i2−i2i222−2−2i2i2−i2−i20000000000000000000i2−i2−22−i2i2−2200000000
χ582-222-2-2-22−2i2i−2i2i2i2i−2i−2i00000000002-22i−2i−2i2i00-22-22−22−22i2−i2i2−i2−2−222−i2−i2i2i20000000000000000000−i2i22−2i2−i22−200000000
χ592-222-2-2-22−2i2i−2i2i2i2i−2i−2i0000000000-22−2i2i2i−2i00-222-22−22−2−i2i2−i2i2−2−222−i2−i2i2i20000000000000000000i2−i2−22i2−i22−200000000
χ602-222-2-2-22−2i2i−2i2i2i2i−2i−2i0000000000-22−2i2i2i−2i00-222-2−22−22i2−i2i2−i222−2−2i2i2−i2−i20000000000000000000−i2i22−2−i2i2−2200000000
χ612-222-2-2-22−2i2i−2i2i−2i−2i2i2i00000000002-2−2i2i−2i2i002-22-22−22−2−i2i2−i2i222−2−2−i2−i2i2i20000000000000000000−i2i22−2−i2i22−200000000
χ622-222-2-2-22−2i2i−2i2i−2i−2i2i2i00000000002-2−2i2i−2i2i002-22-2−22−22i2−i2i2−i2−2−222i2i2−i2−i20000000000000000000i2−i2−22i2−i2−2200000000
χ632-222-2-2-22−2i2i−2i2i−2i−2i2i2i0000000000-222i−2i2i−2i002-2-222−22−2−i2i2−i2i2−2−222i2i2−i2−i20000000000000000000−i2i22−2i2−i2−2200000000
χ642-222-2-2-22−2i2i−2i2i−2i−2i2i2i0000000000-222i−2i2i−2i002-2-22−22−22i2−i2i2−i222−2−2−i2−i2i2i20000000000000000000i2−i2−22−i2i22−200000000
χ652-2-2-22-22200002-22-22-2-22002-22-20000002-20000000000002-22-22-22-20000000002-202-20002-20000000000000000
χ662-2-2-22-22200002-22-22-2-22002-22-20000002-2000000000000-22-22-22-220000000002-20-22000-220000000000000000
χ672-2-2-22-22200002-22-22-2-2200-22-220000002-20000000000002-22-22-22-2000000000-220-22000-220000000000000000
χ682-2-2-22-22200002-22-22-2-2200-22-220000002-2000000000000-22-22-22-22000000000-2202-20002-20000000000000000
χ692-2-2-22-2220000-22-222-2-22002-22-2000000-220000000000002-22-2-22-22000000000-220-220002-20000000000000000
χ702-2-2-22-2220000-22-222-2-22002-22-2000000-22000000000000-22-222-22-2000000000-2202-2000-220000000000000000
χ712-2-2-22-2220000-22-222-2-2200-22-22000000-220000000000002-22-2-22-220000000002-202-2000-220000000000000000
χ722-2-2-22-2220000-22-222-2-2200-22-22000000-22000000000000-22-222-22-20000000002-20-220002-20000000000000000
χ73444-44-4-4-444-4-40000-4-444-440000000000000000000000000000000000000000000000000000000000000000000
χ74444-44-4-4-4-4-4440000-4-4444-40000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-44-4400004i−4i−4i4i00000000000000000000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000
χ7644-4-4-44-4400004i−4i−4i4i000000000000000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000
χ7744-4-4-44-440000−4i4i4i−4i00000000000000000000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000
χ7844-4-4-44-440000−4i4i4i−4i000000000000000000000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000
χ794-44-4-444-44i−4i−4i4i0000000000000000000000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000000000000
χ804-44-4-444-44i−4i−4i4i00000000000000000000000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000000000000
χ814-44-4-444-4−4i4i4i−4i0000000000000000000000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000000000000
χ824-44-4-444-4−4i4i4i−4i00000000000000000000000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000000000000
χ834-4-4444-4-4000000004-44-4004-4-44000000000000000000000000000000000000000000000000000000000000000
χ844-4-4444-4-4000000004-44-400-444-4000000000000000000000000000000000000000000000000000000000000000
χ854-4-4444-4-400000000-44-440000000000000000000000000000000000000000000000004i−4i0000000000000000000
χ864-4-4444-4-400000000-44-44000000000000000000000000000000000000000000000000−4i4i0000000000000000000
χ874-4-4-44-44400004-44-4-444-4000000000000-440000000000000000000000000000000000000000000000000000000
χ884-4-4-44-4440000-44-44-444-40000000000004-40000000000000000000000000000000000000000000000000000000
χ8988-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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