Finite Group Databasebeta

← Group #72227096

Character table — Group #72227096

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size112222222222244444444444444448888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464
order12222444488884444448888888888444881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323222448888888816161616161616161616161632323232323232322244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ10111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ11111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ12111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ13111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111
χ14111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ15111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ16111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ17111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i
χ18111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii
χ19111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii
χ20111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i
χ21111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii
χ22111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i
χ23111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i
χ24111-1-111-1-1111111i−ii−i1-1-11-1-1i−ii−i-1i−ii−i11-1-1i−i11-1-1i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii
χ25111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii
χ26111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-1-1-11111iiii−i−i−i−i11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i
χ27111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i
χ28111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii
χ29111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i
χ30111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii
χ31111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii
χ32111-1-111-1-1111111−ii−ii1-1-11-1-1−ii−ii-1−ii−ii11-1-1−ii11-1-1−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i
χ332222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2-2-2000000000000000000000000
χ342222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222000000000000000000000000
χ35222222222222222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-2-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2i−2i2i2i000000000000000000000000
χ36222222222222222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-2-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002i2i−2i−2i000000000000000000000000
χ37222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2222222-2-2-2-222-2-200000000222222220000000000000000000000000000-2-2-2-200000000000000000000
χ38222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2222222-2-2-2-222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000222200000000000000000000
χ39222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000002-22-22-22-20000000000000000000000000000
χ40222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000-22-22-22-220000000000000000000000000000
χ41222222222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-222222222-2-2-2-2-2-2-2-222000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i00000000000000000000
χ42222222222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-222222222-2-2-2-2-2-2-2-22200000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i00000000000000000000
χ43222222222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-22222-2-2-2-222222222-2-2000000000000000000000000000000002-22-2-22-220000000000000000000000000000
χ44222222222-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-22222-2-2-2-222222222-2-200000000000000000000000000000000-22-222-22-20000000000000000000000000000
χ45222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222-2-2000000000000002i−2i2i−2i2i−2i2i−2i0000000022−2−222−2−222−2−222−2−2000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ46222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222-2-2000000000000002i−2i2i−2i2i−2i2i−2i00000000−2−222−2−222−2−222−2−222000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ47222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222-2-200000000000000−2i2i−2i2i−2i2i−2i2i0000000022−2−222−2−222−2−222−2−2000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ48222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222-2-200000000000000−2i2i−2i2i−2i2i−2i2i00000000−2−222−2−222−2−222−2−222000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ49222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222-2-222000000000000002-22-2-22-220000000022−2−222−2−2−2−222−2−2220000000000000000000000002−22−2−22−220000
χ50222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222-2-222000000000000002-22-2-22-2200000000−2−222−2−22222−2−222−2−2000000000000000000000000−22−222−22−20000
χ51222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222-2-22200000000000000-22-222-22-20000000022−2−222−2−2−2−222−2−222000000000000000000000000−22−222−22−20000
χ52222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222222-2-22200000000000000-22-222-22-200000000−2−222−2−22222−2−222−2−20000000000000000000000002−22−2−22−220000
χ53222-2-222-2-22222222i−2i2i−2i2-2-22-2-22i−2i2i−2i-22i−2i2i−2i-2-222−2i2i-2-222−2i2i−2i2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000000000000000000000000000−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ54222-2-222-2-22222222i−2i2i−2i2-2-22-2-22i−2i2i−2i-22i−2i2i−2i-2-222−2i2i-2-222−2i2i−2i2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000002ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ55222-2-222-2-2222222−2i2i−2i2i2-2-22-2-2−2i2i−2i2i-2−2i2i−2i2i-2-2222i−2i-2-2222i−2i2i−2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000000000000000000000000000−2ζ32ζ3−2ζ2ζ000000000000000000000000
χ56222-2-222-2-2222222−2i2i−2i2i2-2-22-2-2−2i2i−2i2i-2−2i2i−2i2i-2-2222i−2i-2-2222i−2i2i−2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000000000000000002ζ3−2ζ32ζ−2ζ000000000000000000000000
χ57222-2-222-2-2-2-222-2-22i−2i2i−2i-2222-2-22i−2i2i−2i2−2i2i−2i2i22-2-22i−2i-2-2222i−2i−2i2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30000000000000000000000000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ58222-2-222-2-2-2-222-2-22i−2i2i−2i-2222-2-22i−2i2i−2i2−2i2i−2i2i22-2-22i−2i-2-2222i−2i−2i2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300000000000000000000000000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ59222-2-222-2-2-2-222-2-22i−2i2i−2i-2222-2-22i−2i2i−2i2−2i2i−2i2i-2-222−2i2i22-2-2−2i2i2i−2i000000000000000000000000000000002-2-222i−2i−2i2i0000000000000000000000000000
χ60222-2-222-2-2-2-222-2-22i−2i2i−2i-2222-2-22i−2i2i−2i2−2i2i−2i2i-2-222−2i2i22-2-2−2i2i2i−2i00000000000000000000000000000000-222-2−2i2i2i−2i0000000000000000000000000000
χ61222-2-222-2-2-2-222-2-2−2i2i−2i2i-2222-2-2−2i2i−2i2i22i−2i2i−2i22-2-2−2i2i-2-222−2i2i2i−2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0000000000000000000000000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ62222-2-222-2-2-2-222-2-2−2i2i−2i2i-2222-2-2−2i2i−2i2i22i−2i2i−2i22-2-2−2i2i-2-222−2i2i2i−2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00000000000000000000000000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ63222-2-222-2-2-2-222-2-2−2i2i−2i2i-2222-2-2−2i2i−2i2i22i−2i2i−2i-2-2222i−2i22-2-22i−2i−2i2i000000000000000000000000000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ64222-2-222-2-2-2-222-2-2−2i2i−2i2i-2222-2-2−2i2i−2i2i22i−2i2i−2i-2-2222i−2i22-2-22i−2i−2i2i00000000000000000000000000000000-222-22i−2i−2i2i0000000000000000000000000000
χ65222-2-222-2-2-2-2-2-2222i−2i2i−2i-222-222−2i2i−2i2i-22i−2i−2i2i000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ66222-2-222-2-2-2-2-2-2222i−2i2i−2i-222-222−2i2i−2i2i-22i−2i−2i2i000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ67222-2-222-2-2-2-2-2-2222i−2i2i−2i-222-222−2i2i−2i2i-22i−2i−2i2i00000000000000−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ68222-2-222-2-2-2-2-2-2222i−2i2i−2i-222-222−2i2i−2i2i-22i−2i−2i2i00000000000000−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ69222-2-222-2-2-2-2-2-222−2i2i−2i2i-222-2222i−2i2i−2i-2−2i2i2i−2i000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ30000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ70222-2-222-2-2-2-2-2-222−2i2i−2i2i-222-2222i−2i2i−2i-2−2i2i2i−2i000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ300000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ71222-2-222-2-2-2-2-2-222−2i2i−2i2i-222-2222i−2i2i−2i-2−2i2i2i−2i00000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ30000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ72222-2-222-2-2-2-2-2-222−2i2i−2i2i-222-2222i−2i2i−2i-2−2i2i2i−2i00000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ300000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ7322-22-22-22-200-2-2002i−2i−2i2i00022-22i−2i−2i2i000002-22-22i−2i0000−2i2i00000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ7422-22-22-22-200-2-2002i−2i−2i2i00022-22i−2i−2i2i000002-22-22i−2i0000−2i2i00000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ7522-22-22-22-200-2-2002i−2i−2i2i00022-22i−2i−2i2i000002-22-22i−2i0000−2i2i0000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ7622-22-22-22-200-2-2002i−2i−2i2i00022-22i−2i−2i2i000002-22-22i−2i0000−2i2i0000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ7722-22-22-22-200-2-200−2i2i2i−2i00022-2−2i2i2i−2i000002-22-2−2i2i00002i−2i00000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ7822-22-22-22-200-2-200−2i2i2i−2i00022-2−2i2i2i−2i000002-22-2−2i2i00002i−2i00000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ7922-22-22-22-200-2-200−2i2i2i−2i00022-2−2i2i2i−2i000002-22-2−2i2i00002i−2i0000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ8022-22-22-22-200-2-200−2i2i2i−2i00022-2−2i2i2i−2i000002-22-2−2i2i00002i−2i0000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ8122-2-222-2-2200-2-20022-2-20002-2222-2-2000002-2-22220000-2-200000000002i−2i−2i2i−2i2i2i−2i2−22−2−22−222−22−2−22−220000000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ8222-2-222-2-2200-2-20022-2-20002-2222-2-2000002-2-22220000-2-200000000002i−2i−2i2i−2i2i2i−2i−22−222−22−2−22−222−22−20000000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ8322-2-222-2-2200-2-20022-2-20002-2222-2-2000002-2-22220000-2-20000000000−2i2i2i−2i2i−2i−2i2i2−22−2−22−222−22−2−22−220000000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ8422-2-222-2-2200-2-20022-2-20002-2222-2-2000002-2-22220000-2-20000000000−2i2i2i−2i2i−2i−2i2i−22−222−22−2−22−222−22−20000000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ8522-2-222-2-2200-2-200-2-2220002-22-2-222000002-2-22-2-200002200000000002-2-222-2-222−22−2−22−22−22−222−22−20000000000000000−222−22−2−22000000000000
χ8622-2-222-2-2200-2-200-2-2220002-22-2-222000002-2-22-2-200002200000000002-2-222-2-22−22−222−22−22−22−2−22−2200000000000000002−2−22−222−2000000000000
χ8722-2-222-2-2200-2-200-2-2220002-22-2-222000002-2-22-2-20000220000000000-222-2-222-22−22−2−22−22−22−222−22−200000000000000002−2−22−222−2000000000000
χ8822-2-222-2-2200-2-200-2-2220002-22-2-222000002-2-22-2-20000220000000000-222-2-222-2−22−222−22−22−22−2−22−220000000000000000−222−22−2−22000000000000
χ8944444444444-4-4-4-44444444-4-4-4-4-4-4-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044444444444-4-4-4-4-4-4-4-4444-4-4-44444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ91444-4-444-4-444-4-4-4-44i−4i4i−4i4-4-4-444−4i4i−4i4i4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ92444-4-444-4-444-4-4-4-4−4i4i−4i4i4-4-4-4444i−4i4i−4i44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-44-44-44-40044004i−4i−4i4i000-4-44−4i4i4i−4i000000000000000000000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ9444-44-44-44-40044004i−4i−4i4i000-4-44−4i4i4i−4i00000000000000000000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ9544-44-44-44-4004400−4i4i4i−4i000-4-444i−4i−4i4i000000000000000000000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ9644-44-44-44-4004400−4i4i4i−4i000-4-444i−4i−4i4i00000000000000000000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
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χ9944-4-444-4-4400440044-4-4000-44-4-4-444000000000000000000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000
χ10044-4-444-4-4400440044-4-4000-44-4-4-44400000000000000000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000000000
χ10144-4-444-4-44004400-4-444000-44-444-4-4000000000000000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ10244-4-444-4-44004400-4-444000-44-444-4-400000000000000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ10344-4-444-4-4400-4-40044-4-40004-4444-4-400000-444-4-4-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ10444-4-444-4-4400-4-400-4-4440004-44-4-44400000-444-4440000-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ10588888-8-8-8-8000000000000000000000000000000042−4242−42000000000000000000000000000000000000000000000000000000000000000000000000
χ10688888-8-8-8-80000000000000000000000000000000−4242−4242000000000000000000000000000000000000000000000000000000000000000000000000
χ107888-8-8-8-888000000000000000000000000000000042−42−4242000000000000000000000000000000000000000000000000000000000000000000000000
χ108888-8-8-8-8880000000000000000000000000000000−424242−42000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-88-8-88-888800000000-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-88-8-88-88-8-8000000008-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-88-888-88800000000-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-888-8-8-80000000088-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-16000000082−8282−828-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16000000082−82−8282-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-160000000−828282−82-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-160000000−8282−82828-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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