Finite Group Databasebeta

← Group #13142268

Character table — Group #13142268

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222223333333344444444444466666666666666668888121212121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order12442346121233661212121268888881224242424333666661212121212121212242424246661212122424242424242424242424242424242424242424242424248888242424242424242424242424242424242424242422444466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-111-1-1111111
χ51111111111111111111-1-111-1-11-1-1-1-11111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-11-11-1-1-1-111-1-111-1-1-1-1
χ61111111111111111111-1-111-1-11-1-1-1-11111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-111-1-11111
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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
χ101111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32
χ111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-11-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32
χ121111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11-11111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ131111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1111−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11-11-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ141111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1111−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-11-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ151111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ161111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ171111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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
χ181111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321−i321+i321+i32
χ191111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-11-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32
χ201111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11-11111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1111−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11-11-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ221111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1111−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-11-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ231111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ241111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ2511-1-1-1111-1-11111-1-1-1-1-1i−ii−i1-1111-1-1111111-1-111-1-1-1-1-1-1i−ii−i-1-1-1111i−ii−ii−ii−i1-11-111-1-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i11-1-1i−i1111-1-1-1-1i−ii−i
χ2611-1-1-1111-1-11111-1-1-1-1-1i−ii−i1-1111-1-1111111-1-111-1-1-1-1-1-1i−ii−i-1-1-1111i−ii−ii−ii−i1-11-111-1-111-1-111-1-1−i−iii−i−iii−i−iiii−ii−ii−ii−ii−ii−i-1-111−ii-1-1-1-11111−ii−ii
χ2711-1-1-1111-1-11111-1-1-1-1-1i−i−ii-111-1-111111111-1-111-1-1-1-1-1-1i−i−ii-1-1-1111i−ii−i−ii−ii-11-11-1-111-1-111-1-111ii−i−iii−i−iii−i−ii−ii−ii−i−ii−ii−ii1-1-11−ii11-1-1-1-111−ii−ii
χ2811-1-1-1111-1-11111-1-1-1-1-1i−i−ii-111-1-111111111-1-111-1-1-1-1-1-1i−i−ii-1-1-1111i−ii−i−ii−ii-11-11-1-111-1-111-1-111−i−iii−i−iii−i−iiii−ii−ii−i−ii−ii−ii-111-1i−i-1-11111-1-1i−ii−i
χ2911-1-1-1111-1-11111-1-1-1-1-1−iii−i-111-1-111111111-1-111-1-1-1-1-1-1−iii−i-1-1-1111−ii−iii−ii−i-11-11-1-111-1-111-1-111ii−i−iii−i−iii−i−i−ii−ii−iii−ii−ii−i-111-1−ii-1-11111-1-1−ii−ii
χ3011-1-1-1111-1-11111-1-1-1-1-1−iii−i-111-1-111111111-1-111-1-1-1-1-1-1−iii−i-1-1-1111−ii−iii−ii−i-11-11-1-111-1-111-1-111−i−iii−i−iii−i−iii−ii−ii−iii−ii−ii−i1-1-11i−i11-1-1-1-111i−ii−i
χ3111-1-1-1111-1-11111-1-1-1-1-1−ii−ii1-1111-1-1111111-1-111-1-1-1-1-1-1−ii−ii-1-1-1111−ii−ii−ii−ii1-11-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i−ii−ii−ii−ii−ii−ii-1-111i−i-1-1-1-11111i−ii−i
χ3211-1-1-1111-1-11111-1-1-1-1-1−ii−ii1-1111-1-1111111-1-111-1-1-1-1-1-1−ii−ii-1-1-1111−ii−ii−ii−ii1-11-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii−ii−ii−ii−ii11-1-1−ii1111-1-1-1-1−ii−ii
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χ3411-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−ii−i1-1111-1-11−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32i−ii−i-11+i321−i321−1−i32−1+i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14i−iζ22−ζ22ζ14−ζ14i−iζ22−ζ22ζ14−ζ14-1-111−ii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ3511-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i−ii-111-1-1111−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32i−i−ii-11+i321−i321−1−i32−1+i32ζ22−ζ22ζ14−ζ14−ζ22ζ22−ζ14ζ141+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14i−iζ22−ζ22ζ14−ζ14−ii−ζ22ζ22−ζ14ζ141-1-11−ii−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ3611-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1i−i−ii-111-1-1111−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32i−i−ii-11+i321−i321−1−i32−1+i32ζ22−ζ22ζ14−ζ14−ζ22ζ22−ζ14ζ141+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14i−iζ22−ζ22ζ14−ζ14−ii−ζ22ζ22−ζ14ζ14-111-1i−i1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14
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χ3811-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−iii−i-111-1-1111−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32−iii−i-11+i321−i321−1−i32−1+i32−ζ22ζ22−ζ14ζ14ζ22−ζ22ζ14−ζ141+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ii−ζ22ζ22−ζ14ζ14i−iζ22−ζ22ζ14−ζ141-1-11i−i−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ3911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii−ii1-1111-1-11−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32−ii−ii-11+i321−i321−1−i32−1+i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ii−ζ22ζ22−ζ14ζ14−ii−ζ22ζ22−ζ14ζ14-1-111i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ4011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1−ii−ii1-1111-1-11−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32−ii−ii-11+i321−i321−1−i32−1+i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ii−ζ22ζ22−ζ14ζ14−ii−ζ22ζ22−ζ14ζ1411-1-1−ii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ22ζ22−ζ14ζ14
χ4111-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−ii−i1-1111-1-11−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32i−ii−i-11−i321+i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22i−iζ14−ζ14ζ22−ζ22i−iζ14−ζ14ζ22−ζ2211-1-1i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ14−ζ14ζ22−ζ22
χ4211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−ii−i1-1111-1-11−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32i−ii−i-11−i321+i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22i−iζ14−ζ14ζ22−ζ22i−iζ14−ζ14ζ22−ζ22-1-111−ii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ4311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i−ii-111-1-1111−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32i−i−ii-11−i321+i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22−ζ14ζ14−ζ22ζ221−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22i−iζ14−ζ14ζ22−ζ22−ii−ζ14ζ14−ζ22ζ221-1-11−ii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ4411-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1i−i−ii-111-1-1111−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32i−i−ii-11−i321+i321−1+i32−1−i32ζ14−ζ14ζ22−ζ22−ζ14ζ14−ζ22ζ221−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22i−iζ14−ζ14ζ22−ζ22−ii−ζ14ζ14−ζ22ζ22-111-1i−i1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22
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χ4611-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−iii−i-111-1-1111−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32−iii−i-11−i321+i321−1+i32−1−i32−ζ14ζ14−ζ22ζ22ζ14−ζ14ζ22−ζ221−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ii−ζ14ζ14−ζ22ζ22i−iζ14−ζ14ζ22−ζ221-1-11i−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4711-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii−ii1-1111-1-11−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32−ii−ii-11−i321+i321−1+i32−1−i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ii−ζ14ζ14−ζ22ζ22−ii−ζ14ζ14−ζ22ζ22-1-111i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4811-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1−ii−ii1-1111-1-11−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32−ii−ii-11−i321+i321−1+i32−1−i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ii−ζ14ζ14−ζ22ζ22−ii−ζ14ζ14−ζ22ζ2211-1-1−ii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14ζ14−ζ22ζ22
χ49222222222222222222222222222222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ50222222222222222222222-2-2-2-22-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-1-1-1-1-1-12222-2-2-2-2-2-2-2-2111111111111000000000000-1-1-1-1-1-1111111000000000000000000
χ512222222222222222222-2-222-2-22-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2-2-22222-2-2-2-2111111111111000000000000111111-1-1-1-1-1-1000000000000000000
χ522222222222222222222-2-2-2-22222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000
χ532222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222222222222-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i322222-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ542222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222-2-2-2-22-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i3222-2-2-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ552222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-222-2-22-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-2-222-11+i321−i32-11+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000000000
χ562222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-22222222-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-2-2-2-2-11+i321−i32-11+i321−i321+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ572222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222222222-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i322222-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ582222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222-2-2-2-22-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i3222-2-2-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ592222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-222-2-22-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-2-222-11−i321+i32-11−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000000000
χ602222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-2-2-22222222-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-2-2-2-2-11−i321+i32-11−i321+i321−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ612222-22-222222222222-2000000-20000222222-2-2-2-22222220000-2-2-2-2-2-20000000000000000000000002-22-22-22-22-22-2000000000000000000000000000000
χ622222-22-222222222222-2000000-20000222222-2-2-2-22222220000-2-2-2-2-2-2000000000000000000000000-22-22-22-22-22-22000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.