Finite Group Databasebeta

← Group #13180908

Character table — Group #13180908

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1344134426882688391212391212268826884121616412161661824246182424391212391212618242461824249273636927363613441344268826883912123912122688268841216164121616618242461824243912123912126182424618242492736369273636
order12332266363366664412124412123633666636336666121212121212121222662266666666664412124412122266226666666666441212441212666666666666666612121212121212122266226666666666441212441212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ51111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32
χ83-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-3100
χ91111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i
χ1011−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ11
χ1111−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ7
χ123-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii00
χ131111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii
χ1411−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ11
χ1511−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ7
χ163-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i00
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ1822−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i3200000000
χ1922−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i3200000000
χ206-2006-200-3100-3100000000006-2006-200-3100-3100000000006-2006-200-3100-3100000000006-2006-200-3100-3100000000006-2006-200-3100-3100000000006-2006-200-3100-310000000000
χ212222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-1111100000000
χ2222−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i3200000000
χ2322−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i3200000000
χ246-200-6200-31003-100000000006-200-6200-31003-100000000006-200-6200-31003-100000000006-200-6200-31003-100000000006-200-6200-31003-100000000006-200-6200-31003-10000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ2711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ283-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-31003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100
χ291111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3011−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32
χ3111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32
χ323-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-3100-3100-3100-3100-31003-1003-1003-1003-1003-1003-100-3100-31003-1003-1003-1003-100-3100-3100-3100-3100-3100-31003-1003-100
χ331111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii
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χ97111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ9811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
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χ1051111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i
χ10611−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32−i−i−ζ7−ζ11iiζ7ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32−i−i−ζ7−ζ11iiζ7ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ11
χ10711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32−i−i−ζ11−ζ7iiζ11ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32−i−i−ζ11−ζ7iiζ11ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ7
χ1083-100-31003-100-31003i−i00−3ii003-100-31003-100-31003i−i00−3ii00-31003-100-31003-100−3ii003i−i00-31003-100-31003-100−3ii003i−i00-31003-100-31003-100−3ii003i−i003-100-31003-100-31003i−i00−3ii00
χ1091111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii
χ11011−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32iiζ7ζ11−i−i−ζ7−ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32iiζ7ζ11−i−i−ζ7−ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32iiζ7ζ11−i−i−ζ7−ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ11
χ11111−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32iiζ11ζ7−i−i−ζ11−ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32iiζ11ζ7−i−i−ζ11−ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32iiζ11ζ7−i−i−ζ11−ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ7
χ1123-100-31003-100-3100−3ii003i−i003-100-31003-100-3100−3ii003i−i00-31003-100-31003-1003i−i00−3ii00-31003-100-31003-1003i−i00−3ii00-31003-100-31003-1003i−i00−3ii003-100-31003-100-3100−3ii003i−i00
χ11322222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-21111111100000000-2-2-2-2-2-2-2-21111111100000000-2-2-2-2-2-2-2-2111111110000000022222222-1-1-1-1-1-1-1-100000000
χ11422−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i3200000000-2-21−i31+i3-2-21−i31+i311−1+i32−1−i3211−1+i32−1−i3200000000-2-21−i31+i3-2-21−i31+i311−1+i32−1−i3211−1+i32−1−i3200000000-2-21−i31+i3-2-21−i31+i311−1+i32−1−i3211−1+i32−1−i320000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i3200000000
χ11522−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i3200000000-2-21+i31−i3-2-21+i31−i311−1−i32−1+i3211−1−i32−1+i3200000000-2-21+i31−i3-2-21+i31−i311−1−i32−1+i3211−1−i32−1+i3200000000-2-21+i31−i3-2-21+i31−i311−1−i32−1+i3211−1−i32−1+i320000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i3200000000
χ1166-2006-200-3100-3100000000006-2006-200-3100-310000000000-6200-62003-1003-10000000000-6200-62003-1003-10000000000-6200-62003-1003-100000000006-2006-200-3100-310000000000
χ1172222-2-2-2-2-1-1-1-11111000000002222-2-2-2-2-1-1-1-1111100000000-2-2-2-222221111-1-1-1-100000000-2-2-2-222221111-1-1-1-100000000-2-2-2-222221111-1-1-1-1000000002222-2-2-2-2-1-1-1-1111100000000
χ11822−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i3200000000-2-21−i31+i322−1+i3−1−i311−1+i32−1−i32-1-11−i321+i3200000000-2-21−i31+i322−1+i3−1−i311−1+i32−1−i32-1-11−i321+i3200000000-2-21−i31+i322−1+i3−1−i311−1+i32−1−i32-1-11−i321+i320000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i3200000000
χ11922−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i3200000000-2-21+i31−i322−1−i3−1+i311−1−i32−1+i32-1-11+i321−i3200000000-2-21+i31−i322−1−i3−1+i311−1−i32−1+i32-1-11+i321−i3200000000-2-21+i31−i322−1−i3−1+i311−1−i32−1+i32-1-11+i321−i320000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i3200000000
χ1206-200-6200-31003-100000000006-200-6200-31003-10000000000-62006-2003-100-310000000000-62006-2003-100-310000000000-62006-2003-100-3100000000006-200-6200-31003-10000000000
χ121222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000
χ12222−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32000000000000000000000000-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i311−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32000000000000000000000000
χ12322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32000000000000000000000000-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32000000000000000000000000
χ1246-2006-2006-2006-2006-2006-200-3100-3100-3100-3100-3100-3100000000000000000000000000-6200-6200-6200-6200-6200-62003-1003-1003-1003-1003-1003-100000000000000000000000000
χ1252222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ12622−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3-2-21−i31+i3-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32000000000000000000000000-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i322−1+i3−1−i322−1+i3−1−i311−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32000000000000000000000000
χ12722−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3-2-21+i31−i3-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32000000000000000000000000-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i322−1−i3−1+i322−1−i3−1+i311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32000000000000000000000000
χ1286-2006-2006-2006-200-6200-6200-3100-3100-3100-31003-1003-100000000000000000000000000-6200-6200-6200-62006-2006-2003-1003-1003-1003-100-3100-3100000000000000000000000000
χ1292222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii000000000000000000000000-2-2-2-22222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ13022−1+i3−1−i3-2-21−i31+i322−1+i3−1−i3-2-21−i31+i32i2i2ζ72ζ11−2i−2i−2ζ7−2ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32−i−i−ζ7−ζ11iiζ7ζ11000000000000000000000000-2-21−i31+i322−1+i3−1−i3-2-21−i31+i322−1+i3−1−i3−2i−2i−2ζ7−2ζ112i2i2ζ72ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32iiζ7ζ11−i−i−ζ7−ζ11000000000000000000000000
χ13122−1−i3−1+i3-2-21+i31−i322−1−i3−1+i3-2-21+i31−i32i2i2ζ112ζ7−2i−2i−2ζ11−2ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32−i−i−ζ11−ζ7iiζ11ζ7000000000000000000000000-2-21+i31−i322−1−i3−1+i3-2-21+i31−i322−1−i3−1+i3−2i−2i−2ζ11−2ζ72i2i2ζ112ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32iiζ11ζ7−i−i−ζ11−ζ7000000000000000000000000
χ1326-200-62006-200-62006i−2i00−6i2i00-31003-100-31003-100−3ii003i−i00000000000000000000000000-62006-200-62006-200−6i2i006i−2i003-100-31003-100-31003i−i00−3ii00000000000000000000000000
χ1332222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i000000000000000000000000-2-2-2-22222-2-2-2-222222i2i2i2i−2i−2i−2i−2i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ13422−1+i3−1−i3-2-21−i31+i322−1+i3−1−i3-2-21−i31+i3−2i−2i−2ζ7−2ζ112i2i2ζ72ζ11-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32iiζ7ζ11−i−i−ζ7−ζ11000000000000000000000000-2-21−i31+i322−1+i3−1−i3-2-21−i31+i322−1+i3−1−i32i2i2ζ72ζ11−2i−2i−2ζ7−2ζ1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−i−i−ζ7−ζ11iiζ7ζ11000000000000000000000000
χ13522−1−i3−1+i3-2-21+i31−i322−1−i3−1+i3-2-21+i31−i3−2i−2i−2ζ11−2ζ72i2i2ζ112ζ7-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32iiζ11ζ7−i−i−ζ11−ζ7000000000000000000000000-2-21+i31−i322−1−i3−1+i3-2-21+i31−i322−1−i3−1+i32i2i2ζ112ζ7−2i−2i−2ζ11−2ζ711−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−i−i−ζ11−ζ7iiζ11ζ7000000000000000000000000
χ1366-200-62006-200-6200−6i2i006i−2i00-31003-100-31003-1003i−i00−3ii00000000000000000000000000-62006-200-62006-2006i−2i00−6i2i003-100-31003-100-3100−3ii003i−i00000000000000000000000000
χ13744444444-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-21111111100000000000000000000000000000000-4-4-4-4-4-4-4-4222222220000000022222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ13844−2+2i3−2−2i344−2+2i3−2−2i3-2-21−i31+i3-2-21−i31+i300000000-2-21−i31+i3-2-21−i31+i311−1+i32−1−i3211−1+i32−1−i3200000000000000000000000000000000-4-42−2i32+2i3-4-42−2i32+2i322−1+i3−1−i322−1+i3−1−i30000000022−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i3200000000000000000000000000000000
χ13944−2−2i3−2+2i344−2−2i3−2+2i3-2-21+i31−i3-2-21+i31−i300000000-2-21+i31−i3-2-21+i31−i311−1−i32−1+i3211−1−i32−1+i3200000000000000000000000000000000-4-42+2i32−2i3-4-42+2i32−2i322−1−i3−1+i322−1−i3−1+i30000000022−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i3200000000000000000000000000000000
χ14012-40012-400-6200-620000000000-6200-62003-1003-10000000000000000000000000000000000-12400-124006-2006-200000000006-2006-200-3100-310000000000000000000000000000000000
χ1414444-4-4-4-4-2-2-2-2222200000000-2-2-2-222221111-1-1-1-100000000000000000000000000000000-4-4-4-444442222-2-2-2-2000000002222-2-2-2-2-1-1-1-1111100000000000000000000000000000000
χ14244−2+2i3−2−2i3-4-42−2i32+2i3-2-21−i31+i322−1+i3−1−i300000000-2-21−i31+i322−1+i3−1−i311−1+i32−1−i32-1-11−i321+i3200000000000000000000000000000000-4-42−2i32+2i344−2+2i3−2−2i322−1+i3−1−i3-2-21−i31+i30000000022−1+i3−1−i3-2-21−i31+i3-1-11−i321+i3211−1+i32−1−i3200000000000000000000000000000000
χ14344−2−2i3−2+2i3-4-42+2i32−2i3-2-21+i31−i322−1−i3−1+i300000000-2-21+i31−i322−1−i3−1+i311−1−i32−1+i32-1-11+i321−i3200000000000000000000000000000000-4-42+2i32−2i344−2−2i3−2+2i322−1−i3−1+i3-2-21+i31−i30000000022−1−i3−1+i3-2-21+i31−i3-1-11+i321−i3211−1−i32−1+i3200000000000000000000000000000000
χ14412-400-12400-62006-20000000000-62006-2003-100-310000000000000000000000000000000000-1240012-4006-200-6200000000006-200-6200-31003-10000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.