Finite Group Databasebeta

← Group #11920925

Character table — Group #11920925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122333344668888121212121212121212121616161616162424242411112233334466888812121212121212121212161616161616242424241111223333446688881212121212121212121216161616161624242424
order1222442222444436664488888888121212121212444436661212666612121212366612122424242424242424121212121212121212123666121266661212121236661212242424242424242412121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51-11-11-111-1-11-11-11-1-111-1ii−i−iii−i−i1-111-1-1i−ii−i1-11-11-111-1-11-11-11-1-111-1ii−i−iii−i−i1-111-1-1i−ii−i1-11-11-111-1-11-11-11-1-111-1ii−i−iii−i−i1-111-1-1i−ii−i
χ61-11-11-111-1-11-11-11-1-111-1−i−iii−i−iii1-111-1-1−ii−ii1-11-11-111-1-11-11-11-1-111-1−i−iii−i−iii1-111-1-1−ii−ii1-11-11-111-1-11-11-11-1-111-1−i−iii−i−iii1-111-1-1−ii−ii
χ71-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii1-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii1-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii
χ81-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i1-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i1-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i
χ922222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-10000
χ102222222222-2-222-1-1-1-1-2-200000000-1-1111100002222222222-2-222-1-1-1-1-2-200000000-1-1111100002222222222-2-222-1-1-1-1-2-200000000-1-111110000
χ112222-2-2222200-2-222220000000000-2-2000000002222-2-2222200-2-222220000000000-2-2000000002222-2-2222200-2-222220000000000-2-200000000
χ122222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i300002222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i300002222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i30000
χ132222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i300002222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i300002222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i30000
χ1422-2-2002-22-2000022-2-2002−22−22−22−2000000000022-2-2002-22-2000022-2-2002−22−22−22−2000000000022-2-2002-22-2000022-2-2002−22−22−22−20000000000
χ1522-2-2002-22-2000022-2-200−22−22−22−22000000000022-2-2002-22-2000022-2-200−22−22−22−22000000000022-2-2002-22-2000022-2-200−22−22−22−220000000000
χ162-22-22-222-2-22-22-2-111-12-200000000-11-1-11100002-22-22-222-2-22-22-2-111-12-200000000-11-1-11100002-22-22-222-2-22-22-2-111-12-200000000-11-1-1110000
χ172-22-22-222-2-2-222-2-111-1-2200000000-1111-1-100002-22-22-222-2-2-222-2-111-1-2200000000-1111-1-100002-22-22-222-2-2-222-2-111-1-2200000000-1111-1-10000
χ182-22-2-2222-2-200-222-2-220000000000-22000000002-22-2-2222-2-200-222-2-220000000000-22000000002-22-2-2222-2-200-222-2-220000000000-2200000000
χ192-22-2-2222-2-200-22-111-100000000001-1−i3i3i3−i300002-22-2-2222-2-200-22-111-100000000001-1−i3i3i3−i300002-22-2-2222-2-200-22-111-100000000001-1−i3i3i3−i30000
χ202-22-2-2222-2-200-22-111-100000000001-1i3−i3−i3i300002-22-2-2222-2-200-22-111-100000000001-1i3−i3−i3i300002-22-2-2222-2-200-22-111-100000000001-1i3−i3−i3i30000
χ212-2-22002-2-2200002-22-200−i2i2i2−i2−i2i2i2−i200000000002-2-22002-2-2200002-22-200−i2i2i2−i2−i2i2i2−i200000000002-2-22002-2-2200002-22-200−i2i2i2−i2−i2i2i2−i20000000000
χ222-2-22002-2-2200002-22-200i2−i2−i2i2i2−i2−i2i200000000002-2-22002-2-2200002-22-200i2−i2−i2i2i2−i2−i2i200000000002-2-22002-2-2200002-22-200i2−i2−i2i2i2−i2−i2i20000000000
χ23333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1
χ24333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111
χ25333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111
χ26333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1
χ273-33-33-3-1-1113-3-110000-11ii−i−i−i−iii000000i−i−ii3-33-33-3-1-1113-3-110000-11ii−i−i−i−iii000000i−i−ii3-33-33-3-1-1113-3-110000-11ii−i−i−i−iii000000i−i−ii
χ283-33-33-3-1-1113-3-110000-11−i−iiiii−i−i000000−iii−i3-33-33-3-1-1113-3-110000-11−i−iiiii−i−i000000−iii−i3-33-33-3-1-1113-3-110000-11−i−iiiii−i−i000000−iii−i
χ293-33-33-3-1-111-33-1100001-1ii−i−i−i−iii000000−iii−i3-33-33-3-1-111-33-1100001-1ii−i−i−i−iii000000−iii−i3-33-33-3-1-111-33-1100001-1ii−i−i−i−iii000000−iii−i
χ303-33-33-3-1-111-33-1100001-1−i−iiiii−i−i000000i−i−ii3-33-33-3-1-111-33-1100001-1−i−iiiii−i−i000000i−i−ii3-33-33-3-1-111-33-1100001-1−i−iiiii−i−i000000i−i−ii
χ3144-4-4004-44-40000-2-2220000000000000000000044-4-4004-44-40000-2-2220000000000000000000044-4-4004-44-40000-2-22200000000000000000000
χ324-4-44004-4-440000-22-22000000000000000000004-4-44004-4-440000-22-22000000000000000000004-4-44004-4-440000-22-2200000000000000000000
χ336666-6-6-2-2-2-200220000000000000000000000006666-6-6-2-2-2-200220000000000000000000000006666-6-6-2-2-2-20022000000000000000000000000
χ3466-6-600-22-2200000000002−22−2−22−22000000000066-6-600-22-2200000000002−22−2−22−22000000000066-6-600-22-2200000000002−22−2−22−220000000000
χ3566-6-600-22-220000000000−22−222−22−2000000000066-6-600-22-220000000000−22−222−22−2000000000066-6-600-22-220000000000−22−222−22−20000000000
χ366-66-6-66-2-222002-20000000000000000000000006-66-6-66-2-222002-20000000000000000000000006-66-6-66-2-222002-2000000000000000000000000
χ376-6-6600-222-20000000000−i2i2i2−i2i2−i2−i2i200000000006-6-6600-222-20000000000−i2i2i2−i2i2−i2−i2i200000000006-6-6600-222-20000000000−i2i2i2−i2i2−i2−i2i20000000000
χ386-6-6600-222-20000000000i2−i2−i2i2−i2i2i2−i200000000006-6-6600-222-20000000000i2−i2−i2i2−i2i2i2−i200000000006-6-6600-222-20000000000i2−i2−i2i2−i2i2i2−i20000000000
χ3911111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4011111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ411111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ421111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ431-11-11-111-1-11-11-11-1-111-1ii−i−iii−i−i1-111-1-1i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22
χ441-11-11-111-1-11-11-11-1-111-1−i−iii−i−iii1-111-1-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22
χ451-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22
χ461-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22
χ4722222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000
χ482222222222-2-222-1-1-1-1-2-200000000-1-111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ492222-2-2222200-2-222220000000000-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i31+i300000000
χ502222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−1+i323+i32−3−i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−1−i32−3+i323−i32−3+i323−i320000
χ512222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−1+i32−3−i323+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−1−i323−i32−3+i323−i32−3+i320000
χ5222-2-2002-22-2000022-2-2002−22−22−22−20000000000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000
χ5322-2-2002-22-2000022-2-200−22−22−22−220000000000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000
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χ831-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14
χ841-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14
χ8522222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000
χ862222222222-2-222-1-1-1-1-2-200000000-1-111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ872222-2-2222200-2-222220000000000-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i31−i300000000
χ882222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−1−i32−3+i323−i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−1+i323+i32−3−i323+i32−3−i320000
χ892222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i321+i321+i321+i320000000000−1−i32−1−i323−i32−3+i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i321−i321−i321−i320000000000−1+i32−1+i32−3−i323+i32−3−i323+i320000
χ9022-2-2002-22-2000022-2-2002−22−22−22−20000000000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000
χ9122-2-2002-22-2000022-2-200−22−22−22−220000000000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000
χ922-22-22-222-2-22-22-2-111-12-200000000-11-1-1110000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i31+i3000000001+i32−1−i321+i321+i32−1−i32−1−i320000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i31−i3000000001−i32−1+i321−i321−i32−1+i32−1+i320000
χ932-22-22-222-2-2-222-2-111-1-2200000000-1111-1-10000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i3000000001+i32−1−i32−1−i32−1−i321+i321+i320000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i3000000001−i32−1+i32−1+i32−1+i321−i321−i320000
χ942-22-2-2222-2-200-222-2-220000000000-2200000000−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i31+i3−1−i300000000001+i3−1−i300000000−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i31−i3−1+i300000000001−i3−1+i300000000
χ952-22-2-2222-2-200-22-111-100000000001-1−i3i3i3−i30000−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i31+i32−1−i32−1−i321+i320000000000−1−i321+i32−3+i323−i323−i32−3+i320000−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i31−i32−1+i32−1+i321−i320000000000−1+i321−i323+i32−3−i32−3−i323+i320000
χ962-22-2-2222-2-200-22-111-100000000001-1i3−i3−i3i30000−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i31+i32−1−i32−1−i321+i320000000000−1−i321+i323−i32−3+i32−3+i323−i320000−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i31−i32−1+i32−1+i321−i320000000000−1+i321−i32−3−i323+i323+i32−3−i320000
χ972-2-22002-2-2200002-22-200−i2i2i2−i2−i2i2i2−i20000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000000000
χ982-2-22002-2-2200002-22-200i2−i2−i2i2i2−i2−i2i20000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000000000
χ99333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1+i32−1+i321−i321−i32
χ100333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i32
χ101333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32
χ102333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i32
χ1033-33-33-3-1-1113-3-110000-11ii−i−i−i−iii000000i−i−ii−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i32−3−3i323+3i321+i32−1−i3200001+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22000000ζ22−ζ22−ζ22ζ22−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i32−3+3i323−3i321−i32−1+i3200001−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14000000ζ14−ζ14−ζ14ζ14
χ1043-33-33-3-1-1113-3-110000-11−i−iiiii−i−i000000−iii−i−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i32−3−3i323+3i321+i32−1−i3200001+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22000000−ζ22ζ22ζ22−ζ22−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i32−3+3i323−3i321−i32−1+i3200001−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14000000−ζ14ζ14ζ14−ζ14
χ1053-33-33-3-1-111-33-1100001-1ii−i−i−i−iii000000−iii−i−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i323+3i32−3−3i321+i32−1−i320000−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22000000−ζ22ζ22ζ22−ζ22−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i323−3i32−3+3i321−i32−1+i320000−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14000000−ζ14ζ14ζ14−ζ14
χ1063-33-33-3-1-111-33-1100001-1−i−iiiii−i−i000000i−i−ii−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i323+3i32−3−3i321+i32−1−i320000−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22000000ζ22−ζ22−ζ22ζ22−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i323−3i32−3+3i321−i32−1+i320000−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14000000ζ14−ζ14−ζ14ζ14
χ10744-4-4004-44-40000-2-22200000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i32+2i3−2−2i32+2i300001+i31+i3−1−i3−1−i300000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i32−2i3−2+2i32−2i300001−i31−i3−1+i3−1+i300000000000000000000
χ1084-4-44004-4-440000-22-2200000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i3−2−2i300001+i3−1−i31+i3−1−i300000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i3−2+2i300001−i3−1+i31−i3−1+i300000000000000000000
χ1096666-6-6-2-2-2-20022000000000000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i31+i31+i31+i31+i300−1−i3−1−i3000000000000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i31−i31−i31−i31−i300−1+i3−1+i3000000000000000000000000
χ11066-6-600-22-2200000000002−22−2−22−220000000000−3−3i3−3−3i33+3i33+3i3001+i3−1−i31+i3−1−i30000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000−3+3i3−3+3i33−3i33−3i3001−i3−1+i31−i3−1+i30000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000
χ11166-6-600-22-220000000000−22−222−22−20000000000−3−3i3−3−3i33+3i33+3i3001+i3−1−i31+i3−1−i30000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000−3+3i3−3+3i33−3i33−3i3001−i3−1+i31−i3−1+i30000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000
χ1126-66-6-66-2-222002-2000000000000000000000000−3−3i33+3i3−3−3i33+3i33+3i3−3−3i31+i31+i3−1−i3−1−i300−1−i31+i3000000000000000000000000−3+3i33−3i3−3+3i33−3i33−3i3−3+3i31−i31−i3−1+i3−1+i300−1+i31−i3000000000000000000000000
χ1136-6-6600-222-20000000000−i2i2i2−i2i2−i2−i2i20000000000−3−3i33+3i33+3i3−3−3i3001+i3−1−i3−1−i31+i30000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000000000−3+3i33−3i33−3i3−3+3i3001−i3−1+i3−1+i31−i30000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000000000
χ1146-6-6600-222-20000000000i2−i2−i2i2−i2i2i2−i20000000000−3−3i33+3i33+3i3−3−3i3001+i3−1−i3−1−i31+i30000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000000000−3+3i33−3i33−3i3−3+3i3001−i3−1+i3−1+i31−i30000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.