Finite Group Databasebeta

← Group #72231939

Character table — Group #72231939

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222222244444444444444444444444444448888888888888816161616161616161616161616161616161616161616161616161616161616163232323232323232
order1222444444444488882488888888888888888816161616161616168816161616161616161616161616161616161616161616161616161616323232323232323232323232323232321616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiii−i−i−i−i
χ9111111-1-111-1-1-1-111111-111-1-1ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1iiii−i−i−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61111-1-1-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ10111111-1-111-1-1-1-111111-111-1-1ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1iiii−i−i−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-1-1-11111−i−i−i−iiiii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ11111111-1-111-1-1-1-111111-111-1-1ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1iiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61111-1-1-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ12111111-1-111-1-1-1-111111-111-1-1ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1iiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-1-1-11111−i−i−i−iiiiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ13111111-1-111-1-1-1-111111-111-1-1−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−i−i−iiiiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21111-1-1-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ14111111-1-111-1-1-1-111111-111-1-1−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−i−i−iiiiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-1-1-11111iiii−i−i−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ15111111-1-111-1-1-1-111111-111-1-1−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21111-1-1-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ16111111-1-111-1-1-1-111111-111-1-1−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-1-1-11111iiii−i−i−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ171111-1-11111-1-1-1-11111-11-1-111ii−i−i-1-1−i−i−i−iiiii1111-1-1-1-1i−i-1-111ii−i−iii−i−iζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ211-1-111-1-1ii−i−iii−i−iζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2
χ181111-1-11111-1-1-1-11111-11-1-111ii−i−i-1-1−i−i−i−iiiii1111-1-1-1-1i−i-1-111ii−i−iii−i−iζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2-1-111-1-111−i−iii−i−iii−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2
χ191111-1-11111-1-1-1-11111-11-1-111ii−i−i-1-1−i−i−i−iiiii1111-1-1-1-1i−i-1-111ii−i−iii−i−i−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ211-1-111-1-1ii−i−iii−i−i−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2
χ201111-1-11111-1-1-1-11111-11-1-111ii−i−i-1-1−i−i−i−iiiii1111-1-1-1-1i−i-1-111ii−i−iii−i−i−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2-1-111-1-111−i−iii−i−iiiζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2
χ211111-1-11111-1-1-1-11111-11-1-111−i−iii-1-1iiii−i−i−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iiiζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ611-1-111-1-1−i−iii−i−iiiζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6
χ221111-1-11111-1-1-1-11111-11-1-111−i−iii-1-1iiii−i−i−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iiiζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6-1-111-1-111ii−i−iii−i−i−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6
χ231111-1-11111-1-1-1-11111-11-1-111−i−iii-1-1iiii−i−i−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iii−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ611-1-111-1-1−i−iii−i−iii−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6
χ241111-1-11111-1-1-1-11111-11-1-111−i−iii-1-1iiii−i−i−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iii−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6-1-111-1-111ii−i−iii−i−iζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6
χ251111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111i−i−ii−iii−i
χ261111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−iii−ii−i−ii
χ271111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111−iii−ii−i−ii
χ281111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-1-11111-1-1i−i−ii−iii−i
χ291111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-111-1-11
χ301111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1-111-1
χ311111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1-111-1
χ321111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11
χ3322222222222222222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ3522222222222222-2-2-2-222-2-2-2-22222-2-222-2-222-2-200000000-2-20000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ3622222222222222-2-2-2-222-2-2-2-22222-2-222-2-222-2-200000000-2-20000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ3722222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000220000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ3822222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000220000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ39222222-2-222-2-2-2-222222-222-2-22i2i−2i−2i-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-222222i−2i-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ40222222-2-222-2-2-2-222222-222-2-2−2i−2i2i2i-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222−2i2i-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ41222222-2-222-2-2-2-2-2-2-2-22-2-2-2222i2i−2i−2i222i2i−2i−2i−2i−2i2i2i00000000−2i2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ42222222-2-222-2-2-2-2-2-2-2-22-2-2-2222i2i−2i−2i222i2i−2i−2i−2i−2i2i2i00000000−2i2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ43222222-2-222-2-2-2-2-2-2-2-22-2-2-222−2i−2i2i2i22−2i−2i2i2i2i2i−2i−2i000000002i−2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ44222222-2-222-2-2-2-2-2-2-2-22-2-2-222−2i−2i2i2i22−2i−2i2i2i2i2i−2i−2i000000002i−2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ452222-2-22222-2-2-2-22222-22-2-2222i2i−2i−2i-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-222222i−2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ462222-2-22222-2-2-2-22222-22-2-222−2i−2i2i2i-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222−2i2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ472222-2-22222-2-2-2-2-2-2-2-2-2222-2-22i2i−2i−2i22−2i−2i2i2i2i2i−2i−2i00000000−2i2i0000000000000000000000000000i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ482222-2-22222-2-2-2-2-2-2-2-2-2222-2-22i2i−2i−2i22−2i−2i2i2i2i2i−2i−2i00000000−2i2i0000000000000000000000000000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ492222-2-22222-2-2-2-2-2-2-2-2-2222-2-2−2i−2i2i2i222i2i−2i−2i−2i−2i2i2i000000002i−2i0000000000000000000000000000i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ502222-2-22222-2-2-2-2-2-2-2-2-2222-2-2−2i−2i2i2i222i2i−2i−2i−2i−2i2i2i000000002i−2i0000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ512222-2-2-2-22222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-20000000000000000000000000000000000000000
χ522222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000
χ532222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-222-2-22200000000-2-20000000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ542222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-222-2-22200000000-2-20000000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ552222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-200000000220000000000000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ562222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-200000000220000000000000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ5722-2-200002-22i2i−2i−2i22-2-200000000002i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ622-2-22i2i−2i−2i000000002ζ2−2ζ22ζ6−2ζ600002ζ−2ζ2ζ5−2ζ500002ζ3−2ζ32ζ7−2ζ700000000000000000000000000
χ5822-2-200002-22i2i−2i−2i22-2-200000000002i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ622-2-22i2i−2i−2i000000002ζ2−2ζ22ζ6−2ζ60000−2ζ2ζ−2ζ52ζ50000−2ζ32ζ3−2ζ72ζ700000000000000000000000000
χ5922-2-200002-22i2i−2i−2i22-2-200000000002i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6-2-222−2i−2i2i2i00000000−2ζ22ζ2−2ζ62ζ6002ζ−2ζ00002ζ5−2ζ52ζ3−2ζ300002ζ7−2ζ7000000000000000000000000
χ6022-2-200002-22i2i−2i−2i22-2-200000000002i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6-2-222−2i−2i2i2i00000000−2ζ22ζ2−2ζ62ζ600−2ζ2ζ0000−2ζ52ζ5−2ζ32ζ30000−2ζ72ζ7000000000000000000000000
χ6122-2-200002-22i2i−2i−2i22-2-200000000002i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ622-2-22i2i−2i−2i00000000−2ζ22ζ2−2ζ62ζ600002ζ5−2ζ5−2ζ2ζ0000−2ζ72ζ72ζ3−2ζ300000000000000000000000000
χ6222-2-200002-22i2i−2i−2i22-2-200000000002i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ622-2-22i2i−2i−2i00000000−2ζ22ζ2−2ζ62ζ60000−2ζ52ζ52ζ−2ζ00002ζ7−2ζ7−2ζ32ζ300000000000000000000000000
χ6322-2-200002-22i2i−2i−2i22-2-200000000002i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6-2-222−2i−2i2i2i000000002ζ2−2ζ22ζ6−2ζ6002ζ5−2ζ50000−2ζ2ζ−2ζ72ζ700002ζ3−2ζ3000000000000000000000000
χ6422-2-200002-22i2i−2i−2i22-2-200000000002i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6-2-222−2i−2i2i2i000000002ζ2−2ζ22ζ6−2ζ600−2ζ52ζ500002ζ−2ζ2ζ7−2ζ70000−2ζ32ζ3000000000000000000000000
χ6522-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ222-2-2−2i−2i2i2i000000002ζ6−2ζ62ζ2−2ζ200002ζ3−2ζ3−2ζ72ζ70000−2ζ2ζ2ζ5−2ζ500000000000000000000000000
χ6622-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ222-2-2−2i−2i2i2i000000002ζ6−2ζ62ζ2−2ζ20000−2ζ32ζ32ζ7−2ζ700002ζ−2ζ−2ζ52ζ500000000000000000000000000
χ6722-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2-2-2222i2i−2i−2i00000000−2ζ62ζ6−2ζ22ζ2002ζ3−2ζ30000−2ζ72ζ7−2ζ2ζ00002ζ5−2ζ5000000000000000000000000
χ6822-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2-2-2222i2i−2i−2i00000000−2ζ62ζ6−2ζ22ζ200−2ζ32ζ300002ζ7−2ζ72ζ−2ζ0000−2ζ52ζ5000000000000000000000000
χ6922-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ222-2-2−2i−2i2i2i00000000−2ζ62ζ6−2ζ22ζ200002ζ7−2ζ72ζ3−2ζ300002ζ5−2ζ52ζ−2ζ00000000000000000000000000
χ7022-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ222-2-2−2i−2i2i2i00000000−2ζ62ζ6−2ζ22ζ20000−2ζ72ζ7−2ζ32ζ30000−2ζ52ζ5−2ζ2ζ00000000000000000000000000
χ7122-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2-2-2222i2i−2i−2i000000002ζ6−2ζ62ζ2−2ζ2002ζ7−2ζ700002ζ3−2ζ32ζ5−2ζ500002ζ−2ζ000000000000000000000000
χ7222-2-200002-2−2i−2i2i2i22-2-20000000000−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2-2-2222i2i−2i−2i000000002ζ6−2ζ62ζ2−2ζ200−2ζ72ζ70000−2ζ32ζ3−2ζ52ζ50000−2ζ2ζ000000000000000000000000
χ7344444444-4-44-44-40000-4-40000000000000000002i2−2i22i2−2i22i2−2i22i2−2i2002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ7444444444-4-44-44-40000-4-4000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ75444444-4-4-4-4-44-440000-440000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ76444444-4-4-4-4-44-440000-44000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ774444-4-444-4-4-44-4400004-40000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ784444-4-444-4-4-44-4400004-4000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ794444-4-4-4-4-4-44-44-40000440000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-44-44-4000044000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ8144-4-400004-44i4i−4i−4i-4-4440000000000−4i4i4ζ2−4ζ2−4ζ24ζ24ζ6−4ζ6−4ζ64ζ600000000000000000000000000000000000000000000000000000000000000
χ8244-4-400004-44i4i−4i−4i-4-4440000000000−4i4i−4ζ24ζ24ζ2−4ζ2−4ζ64ζ64ζ6−4ζ600000000000000000000000000000000000000000000000000000000000000
χ8344-4-400004-4−4i−4i4i4i-4-44400000000004i−4i4ζ6−4ζ6−4ζ64ζ64ζ2−4ζ2−4ζ24ζ200000000000000000000000000000000000000000000000000000000000000
χ8444-4-400004-4−4i−4i4i4i-4-44400000000004i−4i−4ζ64ζ64ζ6−4ζ6−4ζ24ζ24ζ2−4ζ200000000000000000000000000000000000000000000000000000000000000
χ8544-4-40000-444i−4i−4i4i00000000004ζ2−4ζ24ζ6−4ζ600000000002i2−2i2−2i22i2−222222−220000002−2i−2+2i00002+2i−2−2i0000000000000000000000000000000000000000
χ8644-4-40000-444i−4i−4i4i00000000004ζ2−4ζ24ζ6−4ζ60000000000−2i22i22i2−2i222−22−2222000000−2+2i2−2i0000−2−2i2+2i0000000000000000000000000000000000000000
χ8744-4-40000-444i−4i−4i4i0000000000−4ζ24ζ2−4ζ64ζ600000000002i2−2i2−2i22i2−222222−22000000−2+2i2−2i0000−2−2i2+2i0000000000000000000000000000000000000000
χ8844-4-40000-444i−4i−4i4i0000000000−4ζ24ζ2−4ζ64ζ60000000000−2i22i22i2−2i222−22−22220000002−2i−2+2i00002+2i−2−2i0000000000000000000000000000000000000000
χ8944-4-40000-44−4i4i4i−4i00000000004ζ6−4ζ64ζ2−4ζ200000000002i2−2i2−2i22i222−22−22220000002+2i−2−2i00002−2i−2+2i0000000000000000000000000000000000000000
χ9044-4-40000-44−4i4i4i−4i00000000004ζ6−4ζ64ζ2−4ζ20000000000−2i22i22i2−2i2−222222−22000000−2−2i2+2i0000−2+2i2−2i0000000000000000000000000000000000000000
χ9144-4-40000-44−4i4i4i−4i0000000000−4ζ64ζ6−4ζ24ζ200000000002i2−2i2−2i22i222−22−2222000000−2−2i2+2i0000−2+2i2−2i0000000000000000000000000000000000000000
χ9244-4-40000-44−4i4i4i−4i0000000000−4ζ64ζ6−4ζ24ζ20000000000−2i22i22i2−2i2−222222−220000002+2i−2−2i00002−2i−2+2i0000000000000000000000000000000000000000
χ938-88-8008-80000004i2−4i24i2−4i200004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-8000000−4i24i2−4i24i20000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-880000004i2−4i24i2−4i20000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-88000000−4i24i2−4i24i200004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-888i−8i000000004i2−4i2−4i24i20042−42000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888i−8i00000000−4i24i24i2−4i200−4242000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88−8i8i000000004i2−4i2−4i24i200−4242000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88−8i8i00000000−4i24i24i2−4i20042−42000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.