Finite Group Databasebeta

← Group #72343251

Character table — Group #72343251

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11112222222222224444444444444444444444488888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232646464646464
order1222222222444444222244444444444448888882244444488888888888888888888822222224444444888888888888888888888888888816161616161616168888161616161616161616161616444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ5111111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ91111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ101111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ111111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ131111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ141111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ151111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ161111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ17111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11-1-1iiii−i−i−i−iiiii−i−i−i−i1111111-1-1-1-1-111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-11-11-1i−i
χ18111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11-1-1iiii−i−i−i−iiiii−i−i−i−i1111111-1-1-1-1-111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iii-1-111-1-111-11-11−ii
χ19111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11-1-1−i−i−i−iiiii−i−i−i−iiiii1111111-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i-1-111-1-111-11-11i−i
χ20111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11-1-1−i−i−i−iiiii−i−i−i−iiiii1111111-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11-11-1−ii
χ21111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-111111-1-11111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-111-1-1-11-11−ii
χ22111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-111111-1-11111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii-1-111-1-1111-11-1i−i
χ23111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-111111-1-11111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i-1-111-1-1111-11-1−ii
χ24111111111111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-111111-1-11111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-111-1-1-11-11i−i
χ25111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-111-1-111-1-11-1-1iiii−i−i−i−i−i−i−i−iiiii11111-1-111-1-1-1-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-1111-1-11−ii
χ26111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-111-1-111-1-11-1-1iiii−i−i−i−i−i−i−i−iiiii11111-1-111-1-1-1-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1-111-1i−i
χ27111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-111-1-111-1-11-1-1−i−i−i−iiiiiiiii−i−i−i−i11111-1-111-1-1-1-1-111-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1-111-1−ii
χ28111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-111-1-111-1-11-1-1−i−i−i−iiiiiiiii−i−i−i−i11111-1-111-1-1-1-1-111-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-1111-1-11i−i
χ29111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-111-1-111111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1-1-111-111-1i−i
χ30111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-111-1-111111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i-1-11111-1-11-1-11−ii
χ31111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-111-1-111111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii-1-11111-1-11-1-11i−i
χ32111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-111-1-111111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-1-1-111-111-1−ii
χ33222222222222222222222222222222222-2-2-2-2-2-200222200-2-2-22222222222222222-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ34222222222222222222222222222222222-2-2-2-2-2-200222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000-2-2-2-2222222220000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-200-2-2-2-200-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000000000002222-2-2-2-222220000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-200-2-2-2-200-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000022222222-2-2-2-20000000000000000000000000000000000000000000000
χ37222222222222-2-2-2-222-2-2222-2-2-2-2-222-2-2-2-2-222220022-2-200-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-200000000000000-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ38222222222222-2-2-2-222-2-2222-2-2-2-2-222-2-2-2-2-222220022-2-200-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-200000000000000-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ39222222222222-2-2-2-2-2-222222-2-2-2-2-2-2-222-2-2-2222200-2-22200-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-20000000000000022-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ40222222222222-2-2-2-2-2-222222-2-2-2-2-2-2-222-2-2-2222200-2-22200-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-20000000000000022-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ41222222-2-2-2-222222222-2-22-2-2-2-22-2-2-2-2222222222222-22-2222-2-20000000000000000-2-22-2-222-2-22-2-2-2-2222-22-2000000000000000000000000000000000000000000000000000000
χ42222222-2-2-2-222222222-2-22-2-2-2-22-2-2-2-2222222222-2-22-22-2-2-22-2-20000000000000000-2-2-222-2-222-22222-2-22-22-2000000000000000000000000000000000000000000000000000000
χ43222222-2-2-2-222222222-2-22-2-2-2-22-2-2-2-2222-2-2-2-2-2-2002-22-200-22200000000000000002200000000000000-22-220000000022-2-222-2-222-2-222-2-2000000000000000000000000000000
χ44222222-2-2-2-222222222-2-22-2-2-2-22-2-2-2-2222-2-2-2-2-2-2002-22-200-22200000000000000002200000000000000-22-2200000000-2-222-2-222-2-222-2-222000000000000000000000000000000
χ45222222-2-2-2-2222222-2-2222-2-2-2-22-2-222-2-2222222222-22-22222-2-20000000000000000-2-22-2-2-2-2222-2-222-2-2-22-22000000000000000000000000000000000000000000000000000000
χ46222222-2-2-2-2222222-2-2222-2-2-2-22-2-222-2-22222222-2-2-22-22-2-22-2-20000000000000000-2-2-22222-2-2-222-2-222-22-22000000000000000000000000000000000000000000000000000000
χ47222222-2-2-2-2222222-2-2222-2-2-2-22-2-222-2-22-2-2-2-2-2-200-22-2200-222000000000000000022000000000000002-22-20000000022-2-222-2-2-2-222-2-222000000000000000000000000000000
χ48222222-2-2-2-2222222-2-2222-2-2-2-22-2-222-2-22-2-2-2-2-2-200-22-2200-222000000000000000022000000000000002-22-200000000-2-222-2-22222-2-222-2-2000000000000000000000000000000
χ49222222-2-2-2-222-2-2-2-222222-2-222-222-2-2-2-2-222-2-2-2-2222-2-22-2-22220000000000000000-2-22-2-22222-222-2-2-2-22-2-22000000000000000000000000000000000000000000000000000000
χ50222222-2-2-2-222-2-2-2-222222-2-222-222-2-2-2-2-222-2-2-2-2-2-22-2-22222220000000000000000-2-2-222-2-2-2-22-2-222222-2-22000000000000000000000000000000000000000000000000000000
χ51222222-2-2-2-222-2-2-2-222222-2-222-222-2-2-2-2-2-2-22222002-2-2200-2-2-200000000000000002200000000000000-222-2000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ52222222-2-2-2-222-2-2-2-222222-2-222-222-2-2-2-2-2-2-22222002-2-2200-2-2-200000000000000002200000000000000-222-200000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ53222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2222222-222-2-2-2-222-222-2-2-22220000000000000000-2-22-2-2-2-2-2-2-2222222-222-2000000000000000000000000000000000000000000000000000000
χ54222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2222222-222-2-2-2-2-2-2-222-2222220000000000000000-2-2-22222222-2-2-2-2-2-2-222-2000000000000000000000000000000000000000000000000000000
χ55222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2222222-2-2-2222200-222-200-2-2-2000000000000000022000000000000002-2-22000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ56222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2222222-2-2-2222200-222-200-2-2-2000000000000000022000000000000002-2-2200000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ57222222-2-2-2-2-2-222-2-22222-222-2-2-222-2-2-2-2200000000-222-2000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000022−2−222−2−200002−22−2i2−i2i2−i2i2−i2i2−i2000000
χ58222222-2-2-2-2-2-222-2-22222-222-2-2-222-2-2-2-2200000000-222-2000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−2−222−2−2220000−22−22−i2i2−i2i2−i2i2−i2i2000000
χ59222222-2-2-2-2-2-222-2-22222-222-2-2-222-2-2-2-2200000000-222-200000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000022−2−222−2−200002−22−2−i2i2−i2i2−i2i2−i2i2000000
χ60222222-2-2-2-2-2-222-2-22222-222-2-2-222-2-2-2-2200000000-222-200000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−2−222−2−2220000−22−22i2−i2i2−i2i2−i2i2−i2000000
χ61222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2-2-22222222000000002-2-22000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000022−2−222−2−20000−22−22i2−i2i2−i2−i2i2−i2i2000000
χ62222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2-2-22222222000000002-2-22000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−2−222−2−22200002−22−2−i2i2−i2i2i2−i2i2−i2000000
χ63222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2-2-22222222000000002-2-2200000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000022−2−222−2−20000−22−22−i2i2−i2i2i2−i2i2−i2000000
χ64222222-2-2-2-2-2-222-2-2-2-2-2-2-222-2-2-22222222000000002-2-2200000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−2−222−2−22200002−22−2i2−i2i2−i2−i2i2−i2i2000000
χ65222222-2-2-2-2-2-2-2-22222-2-2-222222-2-2-2-222-200000000-22-220000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000
χ66222222-2-2-2-2-2-2-2-22222-2-2-222222-2-2-2-222-200000000-22-220000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000
χ67222222-2-2-2-2-2-2-2-22222-2-2-222222-2-2-2-222-200000000-22-2200000-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000
χ68222222-2-2-2-2-2-2-2-22222-2-2-222222-2-2-2-222-200000000-22-2200000-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000
χ69222222-2-2-2-2-2-2-2-222-2-222-222222-2-222-2-2-2000000002-22-20000022-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000
χ70222222-2-2-2-2-2-2-2-222-2-222-222222-2-222-2-2-2000000002-22-20000022-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000
χ71222222-2-2-2-2-2-2-2-222-2-222-222222-2-222-2-2-2000000002-22-200000-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000
χ72222222-2-2-2-2-2-2-2-222-2-222-222222-2-222-2-2-2000000002-22-200000-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000
χ732222-2-222-2-22222220000-22-22-2-22-20000-22222-2-222000022-22-2000000002-22-22-22-22-2-22-20000-22-20000000000002-22-2000000002-22-22-22-2000000000000000000000000000000
χ742222-2-222-2-22222220000-22-22-2-22-20000-22222-2-222000022-22-200000000-22-22-22-222-2-22-20000-22-2000000000000-22-2200000000-22-22-22-22000000000000000000000000000000
χ752222-2-222-2-22222220000-22-22-2-22-20000-22222-2-2-2-20000-2-2-22-2000000002-22-22-22-22-22-2200002-220000000000002-22-200000000-22-22-22-22000000000000000000000000000000
χ762222-2-222-2-22222220000-22-22-2-22-20000-22222-2-2-2-20000-2-2-22-200000000-22-22-22-222-22-2200002-22000000000000-22-22000000002-22-22-22-2000000000000000000000000000000
χ772222-2-222-2-22222220000-22-22-2-22-20000-2-2-2-2-222000000002-22000000002-22-22-22-2-220002-22-20002-22-200000000-22-222-22-22-22-200000000000000000000000000000000000000
χ782222-2-222-2-22222220000-22-22-2-22-20000-2-2-2-2-222000000002-22000000002-22-22-22-2-22000-22-22000-22-2200000000-22-22-22-22-22-2200000000000000000000000000000000000000
χ792222-2-222-2-22222220000-22-22-2-22-20000-2-2-2-2-222000000002-2200000000-22-22-22-22-220002-22-20002-22-2000000002-22-2-22-22-22-2200000000000000000000000000000000000000
χ802222-2-222-2-22222220000-22-22-2-22-20000-2-2-2-2-222000000002-2200000000-22-22-22-22-22000-22-22000-22-22000000002-22-22-22-22-22-200000000000000000000000000000000000000
χ812222-2-222-2-222-2-2-2-20000-22-2-222-220000222-2-222220000-2-2-2-22000000002i−2i2i−2i−2i2i−2i2i2-2-22-200002-220000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ822222-2-222-2-222-2-2-2-20000-22-2-222-220000222-2-222220000-2-2-2-2200000000−2i2i−2i2i2i−2i2i−2i2-2-22-200002-22000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ832222-2-222-2-222-2-2-2-20000-22-2-222-220000222-2-222-2-2000022-2-22000000002i−2i2i−2i−2i2i−2i2i2-22-220000-22-20000000000002i−2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ842222-2-222-2-222-2-2-2-20000-22-2-222-220000222-2-222-2-2000022-2-2200000000−2i2i−2i2i2i−2i2i−2i2-22-220000-22-2000000000000−2i2i2i−2i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ852222-2-222-2-222-2-2-2-20000-22-2-222-2200002-2-222-2-20000000022-2000000002i−2i2i−2i−2i2i−2i2i-220002-2-220002-2-2200000000−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ862222-2-222-2-222-2-2-2-20000-22-2-222-2200002-2-222-2-20000000022-2000000002i−2i2i−2i−2i2i−2i2i-22000-222-2000-222-200000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ872222-2-222-2-222-2-2-2-20000-22-2-222-2200002-2-222-2-20000000022-200000000−2i2i−2i2i2i−2i2i−2i-220002-2-220002-2-22000000002i−2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ882222-2-222-2-222-2-2-2-20000-22-2-222-2200002-2-222-2-20000000022-200000000−2i2i−2i2i2i−2i2i−2i-22000-222-2000-222-2000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ892222-2-2-2-2222222220000-2-22-22-2-220000-22222-2-222000022-2-222-22-22-22-200000000-22-2-220000-2-22000000002-22-200002-2-222-2-2200000000000000000000000000000000000000
χ902222-2-2-2-2222222220000-2-22-22-2-220000-22222-2-222000022-2-22-22-22-22-2200000000-22-2-220000-2-2200000000-22-220000-222-2-222-200000000000000000000000000000000000000
χ912222-2-2-2-2222222220000-2-22-22-2-220000-22222-2-2-2-20000-2-2-2-222-22-22-22-200000000-2222-2000022-2000000002-22-20000-222-2-222-200000000000000000000000000000000000000
χ922222-2-2-2-2222222220000-2-22-22-2-220000-22222-2-2-2-20000-2-2-2-22-22-22-22-2200000000-2222-2000022-200000000-22-2200002-2-222-2-2200000000000000000000000000000000000000
χ932222-2-2-2-2222222220000-2-22-22-2-220000-2-2-2-2-2220000000022-22-22-22-22-2000000002-20002-2-22000-222-20000-22-220000000000002-2-222-2-22000000000000000000000000000000
χ942222-2-2-2-2222222220000-2-22-22-2-220000-2-2-2-2-2220000000022-22-22-22-22-2000000002-2000-222-20002-2-220000-22-22000000000000-222-2-222-2000000000000000000000000000000
χ952222-2-2-2-2222222220000-2-22-22-2-220000-2-2-2-2-2220000000022-2-22-22-22-22000000002-20002-2-22000-222-200002-22-2000000000000-222-2-222-2000000000000000000000000000000
χ962222-2-2-2-2222222220000-2-22-22-2-220000-2-2-2-2-2220000000022-2-22-22-22-22000000002-2000-222-20002-2-2200002-22-20000000000002-2-222-2-22000000000000000000000000000000
χ972222-2-2-2-22222-2-2-2-20000-2-222-222-20000222-2-222220000-2-2-22-22i−2i2i−2i−2i2i−2i2i00000000-22-2-22000022-2000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ982222-2-2-2-22222-2-2-2-20000-2-222-222-20000222-2-222220000-2-2-22-2−2i2i−2i2i2i−2i2i−2i00000000-22-2-22000022-200000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ992222-2-2-2-22222-2-2-2-20000-2-222-222-20000222-2-222-2-2000022-22-22i−2i2i−2i−2i2i−2i2i00000000-2222-20000-2-22000000002i−2i−2i2i0000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ1002222-2-2-2-22222-2-2-2-20000-2-222-222-20000222-2-222-2-2000022-22-2−2i2i−2i2i2i−2i2i−2i00000000-2222-20000-2-2200000000−2i2i2i−2i00002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ1012222-2-2-2-22222-2-2-2-20000-2-222-222-200002-2-222-2-2000000002-222i−2i2i−2i−2i2i−2i2i000000002-20002-22-2000-22-220000−2i2i2i−2i0000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ1022222-2-2-2-22222-2-2-2-20000-2-222-222-200002-2-222-2-2000000002-222i−2i2i−2i−2i2i−2i2i000000002-2000-22-220002-22-20000−2i2i2i−2i000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ1032222-2-2-2-22222-2-2-2-20000-2-222-222-200002-2-222-2-2000000002-22−2i2i−2i2i2i−2i2i−2i000000002-20002-22-2000-22-2200002i−2i−2i2i000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ1042222-2-2-2-22222-2-2-2-20000-2-222-222-200002-2-222-2-2000000002-22−2i2i−2i2i2i−2i2i−2i000000002-2000-22-220002-22-200002i−2i−2i2i0000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ1054444444444-4-444-4-444-4-4-4-4-444-4-4-444-4-4400000000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064444444444-4-444-4-4-4-444-4-4-444-4-4-4-4-44440000000044-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074444444444-4-4-4-4444444-4-4-4-4-44444444-400000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084444444444-4-4-4-444-4-4-4-4-4-4-4-4-4444-4-4-4-4-400000000444400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094444-4-444-4-4-4-444-4-400004-444-44-440000-4000000000000000004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104444-4-444-4-4-4-444-4-400004-444-44-440000-400000000000000000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114444-4-444-4-4-4-4-4-44400004-44-44-44-400004000000000000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124444-4-444-4-4-4-4-4-44400004-44-44-44-40000400000000000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134444-4-4-4-444-4-444-4-4000044-4-4444-40000-400000000000000000000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1144444-4-4-4-444-4-444-4-4000044-4-4444-40000-40000000000000000000000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1154444-4-4-4-444-4-4-4-444000044-44-4-4-440000400000000000000000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1164444-4-4-4-444-4-4-4-444000044-44-4-4-44000040000000000000000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ11744-4-40000004-44i−4i4i−4i000000000000000004-44i−4i004-400004i−4i0000000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ3−2ζ3000000000000000000
χ11844-4-40000004-44i−4i4i−4i000000000000000004-44i−4i004-400004i−4i000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ32ζ3000000000000000000
χ11944-4-40000004-44i−4i4i−4i000000000000000004-44i−4i00-440000−4i4i0000000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ32ζ3000000000000000000
χ12044-4-40000004-44i−4i4i−4i000000000000000004-44i−4i00-440000−4i4i000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ3−2ζ3000000000000000000
χ12144-4-40000004-4−4i4i−4i4i000000000000000004-4−4i4i004-40000−4i4i0000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ−2ζ000000000000000000
χ12244-4-40000004-4−4i4i−4i4i000000000000000004-4−4i4i004-40000−4i4i000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ2ζ000000000000000000
χ12344-4-40000004-4−4i4i−4i4i000000000000000004-4−4i4i00-4400004i−4i0000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ2ζ000000000000000000
χ12444-4-40000004-4−4i4i−4i4i000000000000000004-4−4i4i00-4400004i−4i000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ−2ζ000000000000000000
χ12588-8-80000008-88i−8i8i−8i00000000000000000-88−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-80000008-8−8i8i−8i8i00000000000000000-888i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8000000-888i−8i−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i0000000000000000000000
χ12888-8-8000000-888i−8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i0000000000000000000000
χ12988-8-8000000-88−8i8i8i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i0000000000000000000000
χ13088-8-8000000-88−8i8i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i0000000000000000000000
χ1318-8-888-88-88-8000000008-800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-888-88-88-800000000-880000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-888-8-88-88000000008-80000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-888-8-88-8800000000-8800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-888-8-880000008-800000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-888-8-88000000-880000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-88-888-80000008-80000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-88-888-8000000-8800000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13916-1616-160000000000000000000000000000000008i2−8i200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14016-1616-16000000000000000000000000000000000−8i28i200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.