Finite Group Databasebeta

← Group #13141981

Character table — Group #13141981

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222223333333344444444444466666666666666668888121212121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order124423461212336612121212244468812121212123336666612121212121212126122424666661212121212121212121212121212121212121212122424242422446666121212126661212122424242424242444668812121212121224242424
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
χ311111111111111111111-1-11-1-11-1-1-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-11-1-1-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111
χ5111111111111111111-1-1111-1-1111111111111111111111-1-1-1-1-1-1111-1-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1111-1-1111111111111111111111-1-1-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1
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+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−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−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i3211−1−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+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−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−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i32-1-11+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+i3211-1-11-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ121111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-11-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321−i32111+i321−i32−1−i32−1−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+i32-1-1111-1-1111111−1−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+i321−i321−1−i32−1+i321+i321−i321−1−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+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-1111+i321−i32-1-11+i321−i32−1−i32−1−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+i32-1-1111-1-1111111−1−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+i321−i321−1−i32−1+i321+i321−i321−1−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+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1+i3211−1−i32−1+i321+i321+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+i32-1-1-1-11111-1-1-1-11−1−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+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+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+i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i32111+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+i32-1-1-1-11111-1-1-1-11−1−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+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32-1-1−1−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−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+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+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i3211−1+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−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+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+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i32-1-11−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−i3211-1-11-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ201111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-11-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321+i32111−i321+i32−1+i32−1+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−i32-1-1111-1-1111111−1+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−i321+i321−1+i32−1−i321−i321+i321−1+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−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1111−i321+i32-1-11−i321+i32−1+i32−1+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−i32-1-1111-1-1111111−1+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−i321+i321−1+i32−1−i321−i321+i321−1+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−i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1−i3211−1+i32−1−i321−i321−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−i32-1-1-1-11111-1-1-1-11−1+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−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−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−i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i32111−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−i32-1-1-1-11111-1-1-1-11−1+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−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2511-1-1-1111-1-11111-1-1-1-11-1i−i-1i−i1ii−i−i111111-1-111-1-1-1-1-1-11-1i−i11-1-1-1-1-1111i−ii−iii−i−iii−i−iii−i−ii−ii−i1-11-11-11-11-11-1111-1-1-1i−ii−ii−i1-1i−i11i−i-1-1i−ii−ii−ii−i
χ2611-1-1-1111-1-11111-1-1-1-11-1i−i-1i−i1ii−i−i111111-1-111-1-1-1-1-1-11-1i−i11-1-1-1-1-1111i−ii−iii−i−iii−i−iii−i−ii−ii−i-11-11-11-11-11-11111-1-1-1i−ii−ii−i-11−ii-1-1−ii11−ii−ii−ii−ii
χ2711-1-1-1111-1-11111-1-1-1-11-1−ii-1−ii1−i−iii111111-1-111-1-1-1-1-1-11-1−ii11-1-1-1-1-1111−ii−ii−i−iii−i−iii−i−iii−ii−ii1-11-11-11-11-11-1111-1-1-1−ii−ii−ii1-1−ii11−ii-1-1−ii−ii−ii−ii
χ2811-1-1-1111-1-11111-1-1-1-11-1−ii-1−ii1−i−iii111111-1-111-1-1-1-1-1-11-1−ii11-1-1-1-1-1111−ii−ii−i−iii−i−iii−i−iii−ii−ii-11-11-11-11-11-11111-1-1-1−ii−ii−ii-11i−i-1-1i−i11i−ii−ii−ii−i
χ2911-1-1-1111-1-11111-1-1-1-1-11i−i-1−ii1ii−i−i111111-1-111-1-1-1-1-1-1-11−ii-1-1-1-1-111111i−ii−iii−i−iii−i−iii−i−i−ii−ii1-11-11-11-11-11-1-1-1-1111−ii−ii−ii-11i−i-1-1−ii11i−ii−i−ii−ii
χ3011-1-1-1111-1-11111-1-1-1-1-11i−i-1−ii1ii−i−i111111-1-111-1-1-1-1-1-1-11−ii-1-1-1-1-111111i−ii−iii−i−iii−i−iii−i−i−ii−ii-11-11-11-11-11-11-1-1-1111−ii−ii−ii1-1−ii11i−i-1-1−ii−iii−ii−i
χ3111-1-1-1111-1-11111-1-1-1-1-11−ii-1i−i1−i−iii111111-1-111-1-1-1-1-1-1-11i−i-1-1-1-1-111111−ii−ii−i−iii−i−iii−i−iiii−ii−i1-11-11-11-11-11-1-1-1-1111i−ii−ii−i-11−ii-1-1i−i11−ii−iii−ii−i
χ3211-1-1-1111-1-11111-1-1-1-1-11−ii-1i−i1−i−iii111111-1-111-1-1-1-1-1-1-11i−i-1-1-1-1-111111−ii−ii−i−iii−i−iii−i−iiii−ii−i-11-11-11-11-11-11-1-1-1111i−ii−ii−i1-1i−i11−ii-1-1i−ii−i−ii−ii
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χ3911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−ii-1i−i1−i−iii1−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32-11i−i1+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11−ζ11ζ7−ζ71-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7-11−ii1+i321−i32i−i−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ4011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−ii-1i−i1−i−iii1−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i32-11i−i1+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11−ζ11ζ7−ζ7-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ71-1i−i−1−i32−1+i32−ii1+i321−i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
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χ4211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1i−i-1i−i1ii−i−i1−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i321-1i−i−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ11ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7−ζ7ζ11−ζ11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11-11−ii1−i321+i32−ii−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ4311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−ii-1−ii1−i−iii1−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i321-1−ii−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7ζ7−ζ11ζ111-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-1−ii−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
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χ4811-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−ii-1i−i1−i−iii1−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i32-11i−i1−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11ζ7−ζ7ζ11−ζ11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ111-1i−i−1+i32−1−i32−ii1−i321+i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ49222222222222222222222222222222-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ5022222222222222222222-2-22-2-22-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-122-2-222-1-1-122-1-1-1-2-2-2-2111111111111-2-2-2-2000000000000-1-1-1-1-1-1111111000000000000000000
χ51222222222222222222-2-2222-2-222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000111111111111000000000000000000
χ52222222222222222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-2-2-1-1-1-2-2-1-1-1-2-2-2-21111111111112222000000000000111111-1-1-1-1-1-1000000000000000000
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χ542222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-22-2-22-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i3222-2-2−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31+i31−i31−i3000000000000-11+i321−i32-11+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+i3-2-2222-2-222222-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-2-2-2-21+i31−i3-11+i321−i321+i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i30000000000001−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
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χ582222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-22-2-22-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i3222-2-2−1+i3−1−i3-11−i321+i32−1+i3−1−i3-11−i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31−i31+i31+i3000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
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χ622222-22-2222222222220000-200-20000222222-2-2-2-2222222000000-2-2-200-2-2-200000000000000000000-222-2-22-222-22-2000000000000000000000000000000
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χ11466-6-6-6-36-333000000006-6−6i6i3−6i6i-33i3i−3i−3i0000000000000000-333i−3i000000000000000000000000000000000000000000000000000000000000000000000000
χ11566-6-6-6-36-33300000000-666i−6i3−6i6i-3−3i−3i3i3i00000000000000003-33i−3i000000000000000000000000000000000000000000000000000000000000000000000000
χ11666-6-6-6-36-33300000000-66−6i6i36i−6i-33i3i−3i−3i00000000000000003-3−3i3i000000000000000000000000000000000000000000000000000000000000000000000000
χ11712121212-12-6-12-6-6-60000000000006006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1181212-12-1212-6-12-666000000000000-6006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-1212i−12i0-606−6i6i0000000000000000−3ζ2−3ζ7+3ζ10+3ζ113ζ2+3ζ7−3ζ10−3ζ11−3ζ2+3ζ7+3ζ10−3ζ113ζ2−3ζ7−3ζ10+3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-1212i−12i0-606−6i6i00000000000000003ζ2+3ζ7−3ζ10−3ζ11−3ζ2−3ζ7+3ζ10+3ζ113ζ2−3ζ7−3ζ10+3ζ11−3ζ2+3ζ7+3ζ10−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-12−12i12i0-6066i−6i0000000000000000−3ζ2+3ζ7+3ζ10−3ζ113ζ2−3ζ7−3ζ10+3ζ11−3ζ2−3ζ7+3ζ10+3ζ113ζ2+3ζ7−3ζ10−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-12−12i12i0-6066i−6i00000000000000003ζ2−3ζ7−3ζ10+3ζ11−3ζ2+3ζ7+3ζ10−3ζ113ζ2+3ζ7−3ζ10−3ζ11−3ζ2−3ζ7+3ζ10+3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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