Finite Group Databasebeta

← Group #13181818

Character table — Group #13181818

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size134439121241216164121616268861824248243232824323239121292736361236484812364848134439121241216164121616268861824248243232824323239121292736361236484812364848
order123322663633363336336666363336332266226666666666226622666666666666666666666666662266226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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−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+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ511111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32
χ711−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ83-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200
χ911111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ1011−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32
χ123-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200
χ133333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-100000000
χ1433−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000
χ1533−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000
χ169-300-3100000000009-300-3100000000009-300-3100000000009-300-3100000000009-300-3100000000009-300-310000000000
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1811−1+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+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
χ1911−1−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−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
χ203-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-31003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100
χ2111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ2211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32
χ2311−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1
χ243-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200-3100-31003−3i32−1+i32003+3i32−1−i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200-3100-31003−3i32−1+i32003+3i32−1−i3200
χ2511111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ2611−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32
χ283-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200-3100-31003+3i32−1−i32003−3i32−1+i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200-3100-31003+3i32−1−i32003−3i32−1+i3200
χ293333-1-1-1-1000000003333-1-1-1-100000000-3-3-3-31111000000003333-1-1-1-1000000003333-1-1-1-100000000-3-3-3-3111100000000
χ3033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000-3-33−3i323+3i3211−1+i32−1−i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000
χ3133−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000-3-33+3i323−3i3211−1−i32−1+i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000
χ329-300-3100000000009-300-310000000000-93003-100000000009-300-3100000000009-300-310000000000-93003-10000000000
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422−1+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+i32000000000000000022−1+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+i320000000000000000
χ3522−1−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−i32000000000000000022−1−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−i320000000000000000
χ366-2006-2006-2006-200-3100-3100-3100-310000000000000000006-2006-2006-2006-200-3100-3100-3100-31000000000000000000
χ3722222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000022222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000000000
χ3822−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i32−1−i3−1−i32−1+i3-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32000000000000000022−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i32−1−i3−1−i32−1+i3-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i320000000000000000
χ3922−1−i3−1+i322−1−i3−1+i3−1+i3−1+i32−1−i3−1−i3−1−i3−1+i32-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1000000000000000022−1−i3−1+i322−1−i3−1+i3−1+i3−1+i32−1−i3−1−i3−1−i3−1+i32-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-10000000000000000
χ406-2006-200−3+3i31−i300−3−3i31+i300-3100-31003−3i32−1+i32003+3i32−1−i320000000000000000006-2006-200−3+3i31−i300−3−3i31+i300-3100-31003−3i32−1+i32003+3i32−1−i32000000000000000000
χ4122222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000022222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000000000
χ4222−1+i3−1−i322−1+i3−1−i3−1−i3−1−i32−1+i3−1+i3−1+i3−1−i32-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1000000000000000022−1+i3−1−i322−1+i3−1−i3−1−i3−1−i32−1+i3−1+i3−1+i3−1−i32-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-10000000000000000
χ4322−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i32−1+i3−1+i32−1−i3-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32000000000000000022−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i32−1+i3−1+i32−1−i3-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i320000000000000000
χ446-2006-200−3−3i31+i300−3+3i31−i300-3100-31003+3i32−1−i32003−3i32−1+i320000000000000000006-2006-200−3−3i31+i300−3+3i31−i300-3100-31003+3i32−1−i32003−3i32−1+i32000000000000000000
χ456666-2-2-2-200000000-3-3-3-311110000000000000000000000006666-2-2-2-200000000-3-3-3-31111000000000000000000000000
χ4666−3+3i3−3−3i3-2-21−i31+i300000000-3-33−3i323+3i3211−1+i32−1−i3200000000000000000000000066−3+3i3−3−3i3-2-21−i31+i300000000-3-33−3i323+3i3211−1+i32−1−i32000000000000000000000000
χ4766−3−3i3−3+3i3-2-21+i31−i300000000-3-33+3i323−3i3211−1−i32−1+i3200000000000000000000000066−3−3i3−3+3i3-2-21+i31−i300000000-3-33+3i323−3i3211−1−i32−1+i32000000000000000000000000
χ4818-600-620000000000-93003-10000000000000000000000000018-600-620000000000-93003-100000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011−1+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
χ5111−1−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
χ523-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100-3100-3100-3100-3100-3100-3100
χ5311111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ5411−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32
χ5511−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1
χ563-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200-3100-31003−3i32−1+i32003+3i32−1−i3200-3100-31003−3i32−1+i32003+3i32−1−i3200-3100-31003−3i32−1+i32003+3i32−1−i3200
χ5711111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ5811−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1
χ5911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32
χ603-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200-3100-31003+3i32−1−i32003−3i32−1+i3200-3100-31003+3i32−1−i32003−3i32−1+i3200-3100-31003+3i32−1−i32003−3i32−1+i3200
χ613333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-100000000-3-3-3-3111100000000-3-3-3-3111100000000-3-3-3-3111100000000
χ6233−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000
χ6333−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000
χ649-300-3100000000009-300-3100000000009-300-310000000000-93003-10000000000-93003-10000000000-93003-10000000000
χ6511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ6611−1+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+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ6711−1−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−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ683-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100-3100-3100-3100-3100-3100-31003-1003-1003-1003-100
χ6911111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ7011−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32
χ7111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ723-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200-3100-31003−3i32−1+i32003+3i32−1−i3200-3100-31003−3i32−1+i32003+3i32−1−i3200-3100-31003−3i32−1+i32003+3i32−1−i32003-1003-100−3+3i321−i3200−3−3i321+i3200
χ7311111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ7411−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ7511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32
χ763-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200-3100-31003+3i32−1−i32003−3i32−1+i3200-3100-31003+3i32−1−i32003−3i32−1+i3200-3100-31003+3i32−1−i32003−3i32−1+i32003-1003-100−3−3i321+i3200−3+3i321−i3200
χ773333-1-1-1-1000000003333-1-1-1-100000000-3-3-3-3111100000000-3-3-3-3111100000000-3-3-3-31111000000003333-1-1-1-100000000
χ7833−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000-3-33−3i323+3i3211−1+i32−1−i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000
χ7933−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000-3-33+3i323−3i3211−1−i32−1+i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000
χ809-300-3100000000009-300-310000000000-93003-10000000000-93003-10000000000-93003-100000000009-300-310000000000
χ812222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ8222−1+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+i320000000000000000-2-21−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−i320000000000000000
χ8322−1−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−i320000000000000000-2-21+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+i320000000000000000
χ846-2006-2006-2006-200-3100-3100-3100-31000000000000000000-6200-6200-6200-62003-1003-1003-1003-1000000000000000000
χ8522222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000000000-2-2-2-2-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i311111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000
χ8622−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i32−1−i3−1−i32−1+i3-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i320000000000000000-2-21−i31+i3-2-21−i31+i31−i31−i31+i3-21+i31+i3-21−i311−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i320000000000000000
χ8722−1−i3−1+i322−1−i3−1+i3−1+i3−1+i32−1−i3−1−i3−1−i3−1+i32-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-10000000000000000-2-21+i31−i3-2-21+i31−i31−i31−i3-21+i31+i31+i31−i3-211−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i3210000000000000000
χ886-2006-200−3+3i31−i300−3−3i31+i300-3100-31003−3i32−1+i32003+3i32−1−i32000000000000000000-6200-62003−3i3−1+i3003+3i3−1−i3003-1003-100−3+3i321−i3200−3−3i321+i32000000000000000000
χ8922222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000000000-2-2-2-2-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i311111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ9022−1+i3−1−i322−1+i3−1−i3−1−i3−1−i32−1+i3−1+i3−1+i3−1−i32-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-10000000000000000-2-21−i31+i3-2-21−i31+i31+i31+i3-21−i31−i31−i31+i3-211−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i3210000000000000000
χ9122−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i32−1+i3−1+i32−1−i3-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i320000000000000000-2-21+i31−i3-2-21+i31−i31+i31+i31−i3-21−i31−i3-21+i311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i320000000000000000
χ926-2006-200−3−3i31+i300−3+3i31−i300-3100-31003+3i32−1−i32003−3i32−1+i32000000000000000000-6200-62003+3i3−1−i3003−3i3−1+i3003-1003-100−3−3i321+i3200−3+3i321−i32000000000000000000
χ936666-2-2-2-200000000-3-3-3-31111000000000000000000000000-6-6-6-62222000000003333-1-1-1-1000000000000000000000000
χ9466−3+3i3−3−3i3-2-21−i31+i300000000-3-33−3i323+3i3211−1+i32−1−i32000000000000000000000000-6-63−3i33+3i322−1+i3−1−i30000000033−3+3i32−3−3i32-1-11−i321+i32000000000000000000000000
χ9566−3−3i3−3+3i3-2-21+i31−i300000000-3-33+3i323−3i3211−1−i32−1+i32000000000000000000000000-6-63+3i33−3i322−1−i3−1+i30000000033−3−3i32−3+3i32-1-11+i321−i32000000000000000000000000
χ9618-600-620000000000-93003-100000000000000000000000000-186006-200000000009-300-3100000000000000000000000000

Here i is the imaginary unit (i² = −1).