Finite Group Databasebeta

← Group #358521

Character table — Group #358521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111111111111111111111222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
order12222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888822224444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ17111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ18111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ19111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ20111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ21111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ22111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ23111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ24111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ25111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ26111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ27111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ28111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ29111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ30111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ31111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ32111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3722222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-20000000000000000002i−2i002i−2i002i−2i002i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ3822222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-20000000000000000002i−2i002i−2i002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ3922222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-2000000000000000000−2i2i00−2i2i00−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ4022222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-2000000000000000000−2i2i00−2i2i00−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ4122222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-222220000000000000000002i−2i002i−2i00−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ4222222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-222220000000000000000002i−2i002i−2i00−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ4322222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-22222000000000000000000−2i2i00−2i2i002i−2i002i−2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ4422222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-22222000000000000000000−2i2i00−2i2i002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ45222-2-222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-222220000000000000000002-200-22002-200-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ46222-2-222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-222220000000000000000002-200-22002-200-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ47222-2-222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-22222000000000000000000-22002-200-22002-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ48222-2-222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-22222000000000000000000-22002-200-22002-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ49222-2-222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-20000000000000000002-200-2200-22002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ50222-2-222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-20000000000000000002-200-2200-22002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ51222-2-222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-2000000000000000000-22002-2002-200-22i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ52222-2-222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-2000000000000000000-22002-2002-200-22−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ53222-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ54222-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ55222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ56222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ5722-22-22-22-22-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002-2002-2002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000000000000000000000
χ5822-22-22-22-22-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002-2002-2002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000000000000000000000
χ5922-22-22-22-22-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2200-2200−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000000000000000000000
χ6022-22-22-22-22-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2200-2200−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).