Finite Group Databasebeta

← Group #712921

Character table — Group #712921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111111111111122222222444444444444444444444444888888888888888888888888888888888888888816161616
order12222222222222224444444422224444444444444444444422224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ51111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ9111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1
χ10111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111
χ11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ12111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-11111-1-111-1-111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-111-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-11
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-111-1
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-11111-1-11-1-11
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111-1-11
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-111-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-1-11
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-111-111-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-11
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111111-11-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-11-11-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111-11-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-11-11
χ332222-2-222-2-2-2-222-2-22222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i002-200002i−2i0000000000002-2002i−2i0000000000000000
χ342222-2-222-2-2-2-222-2-22222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i00-220000−2i2i000000000000-2200−2i2i0000000000000000
χ352222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i002-20000−2i2i0000000000002-200−2i2i0000000000000000
χ362222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00-2200002i−2i000000000000-22002i−2i0000000000000000
χ372222-2-222-2-2-2-222-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i002-200002i−2i000000000000-2200−2i2i0000000000000000
χ382222-2-222-2-2-2-222-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i00-220000−2i2i0000000000002-2002i−2i0000000000000000
χ392222-2-222-2-2-2-222-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i002-20000−2i2i000000000000-22002i−2i0000000000000000
χ402222-2-222-2-2-2-222-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i00-2200002i−2i0000000000002-200−2i2i0000000000000000
χ41222-22-2-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-22i−2i2i−2i2-200002i−2i0000000000002i−2i002-2000000000000000000
χ42222-22-2-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-22i−2i2i−2i-220000−2i2i000000000000−2i2i00-22000000000000000000
χ43222-22-2-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22-22−2i2i−2i2i2-20000−2i2i0000000000002i−2i00-22000000000000000000
χ44222-22-2-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22-22−2i2i−2i2i-2200002i−2i000000000000−2i2i002-2000000000000000000
χ45222-22-2-2-222-2-22-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2−2i2i−2i2i2-20000−2i2i000000000000−2i2i002-2000000000000000000
χ46222-22-2-2-222-2-22-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2−2i2i−2i2i-2200002i−2i0000000000002i−2i00-22000000000000000000
χ47222-22-2-2-222-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-22-222i−2i2i−2i2-200002i−2i000000000000−2i2i00-22000000000000000000
χ48222-22-2-2-222-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-22-222i−2i2i−2i-220000−2i2i0000000000002i−2i002-2000000000000000000
χ49222-2-22-2-2-2-2222-2-222i2i−2i−2i−2i−2i2i2i22-2-200002i2i−2i−2i00002i−2i−2i2i-222-20000000000002i−2i2-20000000000000000000000000000
χ50222-2-22-2-2-2-2222-2-222i2i−2i−2i−2i−2i2i2i22-2-200002i2i−2i−2i0000−2i2i2i−2i2-2-22000000000000−2i2i-220000000000000000000000000000
χ51222-2-22-2-2-2-2222-2-222i2i−2i−2i−2i−2i2i2i-2-2220000−2i−2i2i2i00002i−2i−2i2i-222-2000000000000−2i2i-220000000000000000000000000000
χ52222-2-22-2-2-2-2222-2-222i2i−2i−2i−2i−2i2i2i-2-2220000−2i−2i2i2i0000−2i2i2i−2i2-2-220000000000002i−2i2-20000000000000000000000000000
χ53222-2-22-2-2-2-2222-2-22−2i−2i2i2i2i2i−2i−2i22-2-20000−2i−2i2i2i00002i−2i−2i2i2-2-220000000000002i−2i-220000000000000000000000000000
χ54222-2-22-2-2-2-2222-2-22−2i−2i2i2i2i2i−2i−2i22-2-20000−2i−2i2i2i0000−2i2i2i−2i-222-2000000000000−2i2i2-20000000000000000000000000000
χ55222-2-22-2-2-2-2222-2-22−2i−2i2i2i2i2i−2i−2i-2-22200002i2i−2i−2i00002i−2i−2i2i2-2-22000000000000−2i2i2-20000000000000000000000000000
χ56222-2-22-2-2-2-2222-2-22−2i−2i2i2i2i2i−2i−2i-2-22200002i2i−2i−2i0000−2i2i2i−2i-222-20000000000002i−2i-220000000000000000000000000000
χ572-222-222-22-22-2-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00000000000000002-200000000002-22i−2i000000000000002i−2i00000000
χ582-222-222-22-22-2-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000000000000000-220000000000-22−2i2i00000000000000−2i2i00000000
χ592-222-222-22-22-2-2-22-22i−2i2i−2i2i−2i2i−2i-22-220000−2i2i−2i2i00000000000000002-20000000000-22−2i2i000000000000002i−2i00000000
χ602-222-222-22-22-2-2-22-22i−2i2i−2i2i−2i2i−2i-22-220000−2i2i−2i2i0000000000000000-2200000000002-22i−2i00000000000000−2i2i00000000
χ612-222-222-22-22-2-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00000000000000002-200000000002-2−2i2i00000000000000−2i2i00000000
χ622-222-222-22-22-2-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000000000000000-220000000000-222i−2i000000000000002i−2i00000000
χ632-222-222-22-22-2-2-22-2−2i2i−2i2i−2i2i−2i2i-22-2200002i−2i2i−2i00000000000000002-20000000000-222i−2i00000000000000−2i2i00000000
χ642-222-222-22-22-2-2-22-2−2i2i−2i2i−2i2i−2i2i-22-2200002i−2i2i−2i0000000000000000-2200000000002-2−2i2i000000000000002i−2i00000000
χ652-22-222-22-222-2-22-2-22-2-22-222-22-2-222i2i−2i−2i2-2-222i2i−2i−2i0000000000000000002i−2i000000000000000000002i−2i0000000000
χ662-22-222-22-222-2-22-2-22-2-22-222-22-2-22−2i−2i2i2i2-2-22−2i−2i2i2i000000000000000000−2i2i00000000000000000000−2i2i0000000000
χ672-22-222-22-222-2-22-2-22-2-22-222-2-222-22i2i−2i−2i-222-2−2i−2i2i2i000000000000000000−2i2i000000000000000000002i−2i0000000000
χ682-22-222-22-222-2-22-2-22-2-22-222-2-222-2−2i−2i2i2i-222-22i2i−2i−2i0000000000000000002i−2i00000000000000000000−2i2i0000000000
χ692-22-222-22-222-2-22-2-2-222-22-2-222-2-222i2i−2i−2i-222-2−2i−2i2i2i0000000000000000002i−2i00000000000000000000−2i2i0000000000
χ702-22-222-22-222-2-22-2-2-222-22-2-222-2-22−2i−2i2i2i-222-22i2i−2i−2i000000000000000000−2i2i000000000000000000002i−2i0000000000
χ712-22-222-22-222-2-22-2-2-222-22-2-22-222-22i2i−2i−2i2-2-222i2i−2i−2i000000000000000000−2i2i00000000000000000000−2i2i0000000000
χ722-22-222-22-222-2-22-2-2-222-22-2-22-222-2−2i−2i2i2i2-2-22−2i−2i2i2i0000000000000000002i−2i000000000000000000002i−2i0000000000
χ7344-444-4-4-4-4-444-444-40000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ7444-444-4-4-4-4-444-444-4000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ7544-44-44-4-444-4-4-44-44000000000000000000000000000000000000000000000000000000000000004i−4i000000000000
χ7644-44-44-4-444-4-4-44-4400000000000000000000000000000000000000000000000000000000000000−4i4i000000000000
χ7744-4-44444-4-4-4-4-4-4440000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ7844-4-44444-4-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ7944-4-4-4-4444444-4-4-4-4000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ8044-4-4-4-4444444-4-4-4-400000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ814-4444-44-4-44-44-4-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ824-4444-44-4-44-44-4-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ834-44-4-4-4-444-4-44-44444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ844-44-4-4-4-444-4-44-4444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ854-4-4444-444-4-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000004i−4i000000
χ864-4-4444-444-4-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000−4i4i000000
χ874-4-44-4-4-44-444-44-444000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ884-4-44-4-4-44-444-44-44400000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ894-4-4-44-44-44-44-444-440000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ904-4-4-44-44-44-44-444-44000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ914-4-4-4-444-4-44-44444-400000000000000000000000000000000000000000000000000000000000000000000004-40000
χ924-4-4-4-444-4-44-44444-40000000000000000000000000000000000000000000000000000000000000000000000-440000

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