Finite Group Databasebeta

← Group #72227241

Character table — Group #72227241

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222444444444444444444444444444444444444444444448888888888888888888888888888888888888832323232323232323232323232323232323232323232323232323232323232326464646464646464
order1244222444888888884444888888888888888888888888161616161616161616161616161616164444888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232321616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1
χ9111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ10111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii
χ11111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ12111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i
χ13111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ14111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ16111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1711-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ1811-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii-1-111−i−iii−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ1911-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ2011-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ2111-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i-1-111−i−i−i−iiiii-1-111ii−i−ii−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζii−i−i-1-111−i−iii11-1-1ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ2211-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i-1-111−i−i−i−iiiii-1-111ii−i−ii−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ−i−iii11-1-1ii−i−i-1-111−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ2311-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i-1-111−i−i−i−iiiii-1-111ii−i−ii−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζii−i−i-1-111−i−iii11-1-1−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ2411-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i-1-111−i−i−i−iiiii-1-111ii−i−ii−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−i−iii11-1-1ii−i−i-1-111ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ2511-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ2611-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ2711-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ2811-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ2911-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii-1-111iiii−i−i−i−i-1-111−i−iii−ii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ii−i−i11-1-1−i−iii-1-111−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ3011-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii-1-111iiii−i−i−i−i-1-111−i−iii−ii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3−i−iii-1-111ii−i−i11-1-1ζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ3111-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii-1-111iiii−i−i−i−i-1-111−i−iii−ii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3ii−i−i11-1-1−i−iii-1-111ζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ3211-1-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii-1-111iiii−i−i−i−i-1-111−i−iii−ii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−i−iii-1-111ii−i−i11-1-1−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ332222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ342222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ352222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ362222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ37222222222222-2-222-2-2-2-2-2-200000000000000002-22-2222200002222222200002-22-2-2-2000000002222000000-2-200-2-200-2-200-2-200000000000000002−22−22−22−22−22−22−22−200000000
χ38222222222222-2-222-2-2-2-2-2-200000000000000002-22-2222200002222222200002-22-2-2-2000000002222000000-2-200-2-200-2-200-2-20000000000000000−22−22−22−22−22−22−22−2200000000
χ39222222222222-2-222-2-2-2-2-2-200000000000000002-22-222220000-2-2-2-2-2-2-2-200002-22-2-2-200000000-2-2-2-2000000220022002200220000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ40222222222222-2-222-2-2-2-2-2-200000000000000002-22-222220000-2-2-2-2-2-2-2-200002-22-2-2-200000000-2-2-2-2000000220022002200220000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ41222222222222-2-222-2-2-2-2-2-200000000000000002-22-2-2-2-2-20000222222220000-22-222200000000-2-2-2-200000022002200-2-200-2-20000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ42222222222222-2-222-2-2-2-2-2-200000000000000002-22-2-2-2-2-20000222222220000-22-222200000000-2-2-2-200000022002200-2-200-2-20000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ43222222222222-2-222-2-2-2-2-2-200000000000000002-22-2-2-2-2-20000-2-2-2-2-2-2-2-20000-22-2222000000002222000000-2-200-2-20022002200000000000000002−22−2−22−222−22−2−22−2200000000
χ44222222222222-2-222-2-2-2-2-2-200000000000000002-22-2-2-2-2-20000-2-2-2-2-2-2-2-20000-22-2222000000002222000000-2-200-2-2002200220000000000000000−22−222−22−2−22−222−22−200000000
χ452222222222-2-222-2-222-2-2-2-20000000000000000-22-2222222222000000002222-22-22-2-20000000000002222-2-200-2-200-2-200-2-2002−22−22−22−22−22−22−22−2000000000000000000000000
χ462222222222-2-222-2-222-2-2-2-20000000000000000-22-2222222222000000002222-22-22-2-20000000000002222-2-200-2-200-2-200-2-200−22−22−22−22−22−22−22−22000000000000000000000000
χ472222222222-2-222-2-222-2-2-2-20000000000000000-22-222222-2-2-2-200000000-2-2-2-2-22-22-2-2000000000000-2-2-2-22200220022002200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ482222222222-2-222-2-222-2-2-2-20000000000000000-22-222222-2-2-2-200000000-2-2-2-2-22-22-2-2000000000000-2-2-2-22200220022002200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ492222222222-2-222-2-222-2-2-2-20000000000000000-22-22-2-2-2-222220000000022222-22-222000000000000-2-2-2-2-2-200-2-20022002200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ502222222222-2-222-2-222-2-2-2-20000000000000000-22-22-2-2-2-222220000000022222-22-222000000000000-2-2-2-2-2-200-2-20022002200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ512222222222-2-222-2-222-2-2-2-20000000000000000-22-22-2-2-2-2-2-2-2-200000000-2-2-2-22-22-222000000000000222222002200-2-200-2-2002−22−2−22−22−22−222−22−2000000000000000000000000
χ522222222222-2-222-2-222-2-2-2-20000000000000000-22-22-2-2-2-2-2-2-2-200000000-2-2-2-22-22-222000000000000222222002200-2-200-2-200−22−222−22−22−22−2−22−22000000000000000000000000
χ5322-2-22-2-222-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-22i2i−2i−2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-22i2i−2i−2i2i−2i−2i−2i−2i−2i2i2i2i2i-2-2222i2i−2i−2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5422-2-22-2-222-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-2-2222i2i−2i−2i2i−2i−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5522-2-22-2-222-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-2−2i−2i2i2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-2−2i−2i2i2i−2i2i2i2i2i2i−2i−2i−2i−2i-2-222−2i−2i2i2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
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χ1278-88i−8i0000004i2−4i2−4i24i242−42−4242-44−4i4i4+2i2−4−2i2−4+2i24−2i2−2i22i22i2−2i22ζ−4i−2ζ3−2ζ+4i+2ζ32ζ+4i−2ζ3−2ζ−4i+2ζ3−2222−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88i−8i0000004i2−4i2−4i24i242−42−4242-44−4i4i−4−2i24+2i24−2i2−4+2i22i2−2i2−2i22i2−2ζ+4i+2ζ32ζ−4i−2ζ3−2ζ−4i+2ζ32ζ+4i−2ζ322−2222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88i−8i000000−4i24i24i2−4i2−424242−42-44−4i4i4−2i2−4+2i2−4−2i24+2i22i2−2i2−2i22i2−2ζ−4i+2ζ32ζ+4i−2ζ3−2ζ+4i+2ζ32ζ−4i−2ζ322−2222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88i−8i000000−4i24i24i2−4i2−424242−42-44−4i4i−4+2i24−2i24+2i2−4−2i2−2i22i22i2−2i22ζ+4i−2ζ3−2ζ−4i+2ζ32ζ−4i−2ζ3−2ζ+4i+2ζ3−2222−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88i−8i000000−4i24i2−4i24i2−4242−42424-44i−4i2i2−2i22i2−2i2−4+2i24−2i2−4−2i24+2i222−2222−222ζ+4i−2ζ3−2ζ−4i+2ζ32ζ−4i−2ζ3−2ζ+4i+2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88i−8i000000−4i24i2−4i24i2−4242−42424-44i−4i−2i22i2−2i22i24−2i2−4+2i24+2i2−4−2i2−2222−2222−2ζ−4i+2ζ32ζ+4i−2ζ3−2ζ+4i+2ζ32ζ−4i−2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8−8i8i0000004i2−4i24i2−4i2−4242−42424-4−4i4i2i2−2i22i2−2i24+2i2−4−2i24−2i2−4+2i2−2222−2222−2ζ+4i+2ζ32ζ−4i−2ζ3−2ζ−4i+2ζ32ζ+4i−2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8−8i8i0000004i2−4i24i2−4i2−4242−42424-4−4i4i−2i22i2−2i22i2−4−2i24+2i2−4+2i24−2i222−2222−222ζ−4i−2ζ3−2ζ+4i+2ζ32ζ+4i−2ζ3−2ζ−4i+2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i0000004i2−4i2−4i24i2−424242−42-444i−4i4+2i2−4−2i2−4+2i24−2i2−2i22i22i2−2i2−2ζ+4i+2ζ32ζ−4i−2ζ3−2ζ−4i+2ζ32ζ+4i−2ζ322−2222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i0000004i2−4i2−4i24i2−424242−42-444i−4i−4−2i24+2i24−2i2−4+2i22i2−2i2−2i22i22ζ−4i−2ζ3−2ζ+4i+2ζ32ζ+4i−2ζ3−2ζ−4i+2ζ3−2222−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i000000−4i24i24i2−4i242−42−4242-444i−4i4−2i2−4+2i2−4−2i24+2i22i2−2i2−2i22i22ζ+4i−2ζ3−2ζ−4i+2ζ32ζ−4i−2ζ3−2ζ+4i+2ζ3−2222−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i000000−4i24i24i2−4i242−42−4242-444i−4i−4+2i24−2i24+2i2−4−2i2−2i22i22i2−2i2−2ζ−4i+2ζ32ζ+4i−2ζ3−2ζ+4i+2ζ32ζ−4i−2ζ322−2222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-8−8i8i000000−4i24i2−4i24i242−4242−424-4−4i4i2i2−2i22i2−2i2−4+2i24−2i2−4−2i24+2i2−2222−2222−2ζ−4i+2ζ32ζ+4i−2ζ3−2ζ+4i+2ζ32ζ−4i−2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-8−8i8i000000−4i24i2−4i24i242−4242−424-4−4i4i−2i22i2−2i22i24−2i2−4+2i24+2i2−4−2i222−2222−222ζ+4i−2ζ3−2ζ−4i+2ζ32ζ−4i−2ζ3−2ζ+4i+2ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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