Finite Group Databasebeta

← Group #13152119

Character table — Group #13152119

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111333333333333333333333344444466666666666666666666666666666666666612121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order12336622666699181818181818181818181818181822666644441212121212121212363636363636363636363636363636363636363636363636441212121218181818363636363636363636363636336666669999181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ41111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ61111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ7111111111111−1−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+i32111111111111111111−1−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+i32111111−1−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+i3211111111−1−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
χ8111111111111−1−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+i32111111111111111111−1−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+i32111111−1−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+i3211−1−i32−1+i321−1+i32−1+i32111−1−i3211−1−i32−1−i32
χ9111111111111−1−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+i32111111111111111111−1−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+i32111111−1−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−i321−1−i32−1+i3211−1−i3211−1−i32−1−i32−1+i321−1+i32−1+i3211
χ10111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ11111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1+i3211−1−i32−1+i3211−i321−i32-1-11−1−i32-1-11+i321+i32
χ12111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1−i32−1+i3211−1−i32-1-11+i321+i32−1+i3211−i321−i32-1-1
χ13111111111111−1+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−i32111111111111111111−1+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−i32111111−1+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−i3211111111−1+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
χ14111111111111−1+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−i32111111111111111111−1+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−i32111111−1+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+i321−1+i32−1−i3211−1+i3211−1+i32−1+i32−1−i321−1−i32−1−i3211
χ15111111111111−1+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−i32111111111111111111−1+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−i32111111−1+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−i3211−1+i32−1−i321−1−i32−1−i32111−1+i3211−1+i32−1+i32
χ16111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ17111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1+i32−1−i3211−1+i32-1-11−i321−i32−1−i3211+i321+i32-1-1
χ18111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1−i3211−1+i32−1−i3211+i321+i32-1-11−1+i32-1-11−i321−i32
χ191-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-11-1111-1-1-1111-1-1-111-11-1-11-11111-1-11-11-1-1-11-11-1
χ201-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-11-1111-1-1-1111-1-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i321+i321−i321−i32−1+i321−i32−1+i321−i32
χ211-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-11-1111-1-1-1111-1-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i321−i321+i321+i32−1−i321+i32−1−i321+i32
χ221-111-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-11-1-1-1111-1-1-111111-1-11-1-111111-1-1-11-11-1-1-11-11
χ231-111-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-11-1-1-1111-1-1-1111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i32−1+i32
χ241-111-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-11-1-1-1111-1-1-1111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i32−1−i32
χ251-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i3211-11-1-11-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i32
χ261-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1+i3211−1−i321−i32-1−1+i321−i321-1-11+i321-1−1−i321+i32
χ271-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1−i32−1+i321-11+i321-1−1−i321+i321−i32-1−1+i321−i321-1
χ281-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-11111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-11-1-1111+i32−1−i321−i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i3211-1-11-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
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χ8966−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i3000−4ζ26−4ζ144ζ14+4ζ260−4ζ34−4ζ224ζ22+4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ340000002i−2i2i−2i−2ζ152ζ15−2ζ32ζ3−2ζ152ζ15−2ζ32ζ32ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ23−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ70000000000000000000000000000000000000000000000
χ9066−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i3000−4ζ26−4ζ144ζ14+4ζ260−4ζ34−4ζ224ζ22+4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ34000000−2i2i−2i2i2ζ15−2ζ152ζ3−2ζ32ζ15−2ζ152ζ3−2ζ3−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ232ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ70000000000000000000000000000000000000000000000
χ9166−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i3000−4ζ144ζ14+4ζ26−4ζ2604ζ22+4ζ34−4ζ34−4ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ220000002i−2i2i−2i−2ζ152ζ15−2ζ32ζ3−2ζ152ζ15−2ζ32ζ3−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ310000000000000000000000000000000000000000000000
χ9266−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i3000−4ζ144ζ14+4ζ26−4ζ2604ζ22+4ζ34−4ζ34−4ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ22000000−2i2i−2i2i2ζ15−2ζ152ζ3−2ζ32ζ15−2ζ152ζ3−2ζ32ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ310000000000000000000000000000000000000000000000
χ9366−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3000−4ζ22−4ζ344ζ22+4ζ340−4ζ264ζ14+4ζ26−4ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ140000002i−2i2i−2i−2ζ32ζ3−2ζ152ζ15−2ζ32ζ3−2ζ152ζ152ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ72ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ350000000000000000000000000000000000000000000000
χ9466−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3000−4ζ22−4ζ344ζ22+4ζ340−4ζ264ζ14+4ζ26−4ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14000000−2i2i−2i2i2ζ3−2ζ32ζ15−2ζ152ζ3−2ζ32ζ15−2ζ15−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ7−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ350000000000000000000000000000000000000000000000
χ9566−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i30004ζ22+4ζ34−4ζ22−4ζ3404ζ14+4ζ26−4ζ14−4ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ260000002i−2i2i−2i−2ζ32ζ3−2ζ152ζ15−2ζ32ζ3−2ζ152ζ15−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ350000000000000000000000000000000000000000000000
χ9666−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i30004ζ22+4ζ34−4ζ22−4ζ3404ζ14+4ζ26−4ζ14−4ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26000000−2i2i−2i2i2ζ3−2ζ32ζ15−2ζ152ζ3−2ζ32ζ15−2ζ152ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ350000000000000000000000000000000000000000000000
χ9766−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3000−4ζ344ζ22+4ζ34−4ζ220−4ζ14−4ζ264ζ14+4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ260000002i−2i2i−2i−2ζ32ζ3−2ζ152ζ15−2ζ32ζ3−2ζ152ζ15−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ230000000000000000000000000000000000000000000000
χ9866−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3000−4ζ344ζ22+4ζ34−4ζ220−4ζ14−4ζ264ζ14+4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26000000−2i2i−2i2i2ζ3−2ζ32ζ15−2ζ152ζ3−2ζ32ζ15−2ζ152ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ230000000000000000000000000000000000000000000000
χ996-666-6-62-222-2-266-6222-6222-2-2-2-2-2-20000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ1006-666-6-62-222-2-266-6222-6222-2-2-2-2-2-2000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ1016-666-6-62-222-2-2−3−3i3−3+3i33+3i3−1−i3−1−i3−1−i33−3i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i30000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i−2ζ152ζ15−2ζ152ζ15−2ζ152ζ152ζ15−2ζ152ζ15−2ζ152ζ15−2ζ15−2ζ32ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ30000000000000000000000000000000000000000000000
χ1026-666-6-62-222-2-2−3−3i3−3+3i33+3i3−1−i3−1−i3−1−i33−3i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i2ζ15−2ζ152ζ15−2ζ152ζ15−2ζ15−2ζ152ζ15−2ζ152ζ15−2ζ152ζ152ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ30000000000000000000000000000000000000000000000
χ1036-666-6-62-222-2-2−3+3i3−3−3i33−3i3−1+i3−1+i3−1+i33+3i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i30000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3−2ζ152ζ15−2ζ152ζ15−2ζ152ζ152ζ15−2ζ152ζ15−2ζ152ζ15−2ζ150000000000000000000000000000000000000000000000
χ1046-666-6-62-222-2-2−3+3i3−3−3i33−3i3−1+i3−1+i3−1+i33+3i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ32ζ15−2ζ152ζ15−2ζ152ζ15−2ζ15−2ζ152ζ15−2ζ152ζ15−2ζ152ζ150000000000000000000000000000000000000000000000
χ1056-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3000−4ζ14−4ζ264ζ264ζ1404ζ22−4ζ22−4ζ344ζ344ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ340000002i−2i−2i2i−2ζ152ζ15−2ζ32ζ32ζ15−2ζ152ζ3−2ζ3−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ7−2ζ312ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ72ζ31−2ζ310000000000000000000000000000000000000000000000
χ1066-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3000−4ζ14−4ζ264ζ264ζ1404ζ22−4ζ22−4ζ344ζ344ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ34000000−2i2i2i−2i2ζ15−2ζ152ζ3−2ζ3−2ζ152ζ15−2ζ32ζ32ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ72ζ31−2ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ7−2ζ312ζ310000000000000000000000000000000000000000000000
χ1076-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i30004ζ264ζ14−4ζ14−4ζ2604ζ344ζ22−4ζ22−4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ340000002i−2i−2i2i−2ζ152ζ15−2ζ32ζ32ζ15−2ζ152ζ3−2ζ32ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ23−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ70000000000000000000000000000000000000000000000
χ1086-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i30004ζ264ζ14−4ζ14−4ζ2604ζ344ζ22−4ζ22−4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ34000000−2i2i2i−2i2ζ15−2ζ152ζ3−2ζ3−2ζ152ζ15−2ζ32ζ3−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ232ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ232ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ70000000000000000000000000000000000000000000000
χ1096-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i30004ζ14−4ζ14−4ζ264ζ260−4ζ22−4ζ344ζ344ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ220000002i−2i−2i2i−2ζ152ζ15−2ζ32ζ32ζ15−2ζ152ζ3−2ζ3−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ352ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ35−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ312ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ310000000000000000000000000000000000000000000000
χ1106-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i30004ζ14−4ζ14−4ζ264ζ260−4ζ22−4ζ344ζ344ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ22000000−2i2i2i−2i2ζ15−2ζ152ζ3−2ζ3−2ζ152ζ15−2ζ32ζ32ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ35−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ352ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ31−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ310000000000000000000000000000000000000000000000
χ1116-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i30004ζ224ζ34−4ζ22−4ζ3404ζ26−4ζ14−4ζ264ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ140000002i−2i−2i2i−2ζ32ζ3−2ζ152ζ152ζ3−2ζ32ζ15−2ζ152ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ72ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ350000000000000000000000000000000000000000000000
χ1126-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i30004ζ224ζ34−4ζ22−4ζ3404ζ26−4ζ14−4ζ264ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14000000−2i2i2i−2i2ζ3−2ζ32ζ15−2ζ15−2ζ32ζ3−2ζ152ζ15−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ7−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ350000000000000000000000000000000000000000000000
χ1136-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3000−4ζ22−4ζ344ζ224ζ340−4ζ14−4ζ264ζ144ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ260000002i−2i−2i2i−2ζ32ζ3−2ζ152ζ152ζ3−2ζ32ζ15−2ζ15−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ31−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ352ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ350000000000000000000000000000000000000000000000
χ1146-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3000−4ζ22−4ζ344ζ224ζ340−4ζ14−4ζ264ζ144ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26000000−2i2i2i−2i2ζ3−2ζ32ζ15−2ζ15−2ζ32ζ3−2ζ152ζ152ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ312ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ35−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ350000000000000000000000000000000000000000000000
χ1156-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i30004ζ34−4ζ22−4ζ344ζ2204ζ144ζ26−4ζ14−4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ260000002i−2i−2i2i−2ζ32ζ3−2ζ152ζ152ζ3−2ζ32ζ15−2ζ15−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ312ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ31−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ230000000000000000000000000000000000000000000000
χ1166-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i30004ζ34−4ζ22−4ζ344ζ2204ζ144ζ26−4ζ14−4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26000000−2i2i2i−2i2ζ3−2ζ32ζ15−2ζ15−2ζ32ζ3−2ζ152ζ152ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ31−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ312ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ230000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.