Finite Group Databasebeta

← Group #6540307

Character table — Group #6540307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11111111222222222222222244444444444444444444444488888888888888888888888888888888888161616161616
order12222222444444444444444422224444444444448888888822222222444444444444444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-111
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-11-111-1-1
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-111
χ9111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-111
χ10111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111111-1-1-1-11111-1-1-1111-1-1
χ11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1
χ12111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1-1-1111-1-1-111
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-111-1-111111111-1-1-1-11111
χ1711111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111-11-1
χ1811111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111111111-1-111-1-111-11-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-11-11
χ1911111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-11-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-11-11
χ2011111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-1-1-1111111-1-111-1-11111111-11-1
χ2111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-11111111-1-111-1-1-1-111-1-1-1-11111-11-111-1
χ2211111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111111-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-11-1-11
χ2311111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1111-1-111-1-111-1-111-1-11111-1-1-1-11-11-1-11
χ2411111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11-11-1-111-1-111-1-11111-1-11111-1-1-1-1-11-111-1
χ2511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-111-1
χ2611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-111-111-1-11
χ2711111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-111-1-11
χ2811111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-111-1-11111-1-1-1-11111-1-1-1-111-1-11-1-111-1
χ2911111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-111-1-111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-11-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111111111-1-11111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ3111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-11111-11-11
χ3211111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-111-1-11111-1-111-1-111-1-11-11-1
χ3322222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000-2-2-2000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000222000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-200000000000000002-2-2000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222220000000000000000-222000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-22200000000000000002-22000000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-20000000000000000-22-2000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-22222-2-20000000000000000-2-22000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-222000000000000000022-2000000000000000000000000000000
χ4122-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-22-2000000002i−2i2i−2ii2i2−i2−i222−2−200000000000000000000000i2−i22−22−2i2−i2i2−i22−2000000
χ4222-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-22-2000000002i−2i2i−2i−i2−i2i2i2−2−22200000000000000000000000−i2i2−22−22−i2i2−i2i2−22000000
χ4322-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-22-2200000000−2i2i−2i2ii2i2−i2−i2−2−22200000000000000000000000i2−i22−22−2−i2i2−i2i2−22000000
χ4422-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-22-2200000000−2i2i−2i2i−i2−i2i2i222−2−200000000000000000000000−i2i2−22−22i2−i2i2−i22−2000000
χ4522-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-22-200000000−2i2i−2i2ii2i2−i2−i2−2−22200000000000000000000000i2−i2−22−22i2−i2i2−i2−22000000
χ4622-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-22-200000000−2i2i−2i2i−i2−i2i2i222−2−200000000000000000000000−i2i22−22−2−i2i2−i2i22−2000000
χ4722-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-22-22000000002i−2i2i−2ii2i2−i2−i222−2−200000000000000000000000i2−i2−22−22−i2i2−i2i22−2000000
χ4822-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-22-22000000002i−2i2i−2i−i2−i2i2i2−2−22200000000000000000000000−i2i22−22−2i2−i2i2−i2−22000000
χ4922-22-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002-2-2200000000−2i2i2i−2ii2i2−i2−i222−2−200000000000000000000000−i2i22−2−22i2−i2−i2i2−22000000
χ5022-22-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002-2-2200000000−2i2i2i−2i−i2−i2i2i2−2−22200000000000000000000000i2−i2−222−2−i2i2i2−i22−2000000
χ5122-22-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000-222-2000000002i−2i−2i2ii2i2−i2−i2−2−22200000000000000000000000−i2i22−2−22−i2i2i2−i22−2000000
χ5222-22-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000-222-2000000002i−2i−2i2i−i2−i2i2i222−2−200000000000000000000000i2−i2−222−2i2−i2−i2i2−22000000
χ5322-22-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002-2-22000000002i−2i−2i2ii2i2−i2−i2−2−22200000000000000000000000−i2i2−222−2i2−i2−i2i22−2000000
χ5422-22-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002-2-22000000002i−2i−2i2i−i2−i2i2i222−2−200000000000000000000000i2−i22−2−22−i2i2i2−i2−22000000
χ5522-22-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000-222-200000000−2i2i2i−2ii2i2−i2−i222−2−200000000000000000000000−i2i2−222−2−i2i2i2−i2−22000000
χ5622-22-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000-222-200000000−2i2i2i−2i−i2−i2i2i2−2−22200000000000000000000000i2−i22−2−22i2−i2−i2i22−2000000
χ572-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-200002-22i−2i2i−2i0000000000000000002-2000002-200002i−2i2i−2i00000000000000000000
χ582-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-200002-22i−2i2i−2i000000000000000000-2200000-220000−2i2i−2i2i00000000000000000000
χ592-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i-2-2220000-22−2i2i−2i2i000000000000002-22-2000000000002i−2i00002i−2i000000000000000000
χ602-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i-2-2220000-22−2i2i−2i2i00000000000000-22-2200000000000−2i2i0000−2i2i000000000000000000
χ612-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-200002-2−2i2i−2i2i0000000000000000002-2000002-20000−2i2i−2i2i00000000000000000000
χ622-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-200002-2−2i2i−2i2i000000000000000000-2200000-2200002i−2i2i−2i00000000000000000000
χ632-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2220000-222i−2i2i−2i000000000000002-22-200000000000−2i2i0000−2i2i000000000000000000
χ642-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2220000-222i−2i2i−2i00000000000000-22-22000000000002i−2i00002i−2i000000000000000000
χ652-2222-2-2-2-22-222i−2i2i−2i−2i2i−2i2i22-2-20000-222i−2i−2i2i0000000000000000002-200000-2200002i−2i−2i2i00000000000000000000
χ662-2222-2-2-2-22-222i−2i2i−2i−2i2i−2i2i22-2-20000-222i−2i−2i2i000000000000000000-22000002-20000−2i2i2i−2i00000000000000000000
χ672-2222-2-2-2-22-222i−2i2i−2i−2i2i−2i2i-2-22200002-2−2i2i2i−2i000000000000002-2-22000000000002i−2i0000−2i2i000000000000000000
χ682-2222-2-2-2-22-222i−2i2i−2i−2i2i−2i2i-2-22200002-2−2i2i2i−2i00000000000000-222-200000000000−2i2i00002i−2i000000000000000000
χ692-2222-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i22-2-20000-22−2i2i2i−2i0000000000000000002-200000-220000−2i2i2i−2i00000000000000000000
χ702-2222-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i22-2-20000-22−2i2i2i−2i000000000000000000-22000002-200002i−2i−2i2i00000000000000000000
χ712-2222-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i-2-22200002-22i−2i−2i2i000000000000002-2-2200000000000−2i2i00002i−2i000000000000000000
χ722-2222-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i-2-22200002-22i−2i−2i2i00000000000000-222-2000000000002i−2i0000−2i2i000000000000000000
χ73444-4-4-4-44000000000000000000000000004i−4i000022−2222−222i2−2i22i2−2i200000000000000000000000000000000000000000
χ74444-4-4-4-44000000000000000000000000004i−4i0000−2222−2222−2i22i2−2i22i200000000000000000000000000000000000000000
χ75444-4-4-4-4400000000000000000000000000−4i4i000022−2222−22−2i22i2−2i22i200000000000000000000000000000000000000000
χ76444-4-4-4-4400000000000000000000000000−4i4i0000−2222−22222i2−2i22i2−2i200000000000000000000000000000000000000000
χ7744-4-44-44-40000000000004-44-4000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ7844-4-44-44-40000000000004-44-400000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ7944-4-44-44-4000000000000-44-4400000000000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ8044-4-44-44-4000000000000-44-440000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ814-4-44-4-4444-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ824-4-44-4-4444-4-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-4-444-444-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ844-4-44-4-444-444-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ854-4-4-444-440000000000004-4-440000000000000000000000000000004-4000000000000000000000000000000000
χ864-4-4-444-440000000000004-4-44000000000000000000000000000000-44000000000000000000000000000000000
χ874-4-4-444-44000000000000-444-400000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4-444-44000000000000-444-40000000000000000000000000000000000000-4400000000000000000000000000
χ898-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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