Finite Group Databasebeta

← Group #72246522

Character table — Group #72246522

Order 3024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222446666666667777121212121212141414141414141418181818181828282828424242424242424242424242424242126126126112222446666666667777121212121212141414141414141418181818181828282828424242424242424242424242424242126126126
order123366364712121421214242336621212142424233336666282884848484336626666666612121212121226622666666414121214424242426666424242424242666666662828848484846666266666666121212121212266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ311111111111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−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+i3211111111111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111−1−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+i32
χ411111111111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i3211111111111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ511111111111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+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−i3211111111111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111−1+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−i32
χ611111111111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i3211111111111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ711111111-11-1-111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111111111-11-1-111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1
χ811111111-11-1-111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ911111111-11-1-111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32-11+i321−i3211111111-11-1-111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32-11+i321−i32
χ1011111111-11-1-111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i3211111111-11-1-111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32
χ1111111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32-11−i321+i3211111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32-11−i321+i32
χ1211111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i3211111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32
χ13222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-12-1-122-1-1-1-1000000000222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-12-1-122-1-1-1-1000000000
χ14222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-1-211-2-21111000000000222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-1-211-2-21111000000000
χ15222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i322-1-1−1−i3−1+i31+i321+i321−i321−i32000000000222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i322-1-1−1−i3−1+i31+i321+i321−i321−i32000000000
χ16222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i32000000000222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i32000000000
χ17222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i322-1-1−1+i3−1−i31−i321−i321+i321+i32000000000222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i322-1-1−1+i3−1−i31−i321−i321+i321+i32000000000
χ18222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i32000000000222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i32000000000
χ1922-122-1-1-122-1-12-1-1-1-122222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-100000000022-1-1-1-100022-122-1-1-122-1-12-1-1-1-122222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-100000000022-1-1-1-1000
χ2022-122-1-1-122-1-12-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i3222-1-1-1-11+i321−i321+i321−i32000000000−1−i3−1+i31+i321+i321−i321−i3200022-122-1-1-122-1-12-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i3222-1-1-1-11+i321−i321+i321−i32000000000−1−i3−1+i31+i321+i321−i321−i32000
χ2122-122-1-1-122-1-12-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i3222-1-1-1-11−i321+i321−i321+i32000000000−1+i3−1−i31−i321−i321+i321+i3200022-122-1-1-122-1-12-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i3222-1-1-1-11−i321+i321−i321+i32000000000−1+i3−1−i31−i321−i321+i321+i32000
χ2222-122-1-1-1-22112-1-1-1-122222-1-12-1-1-1-12222-1-1-2-21111-1-1-1-1000000000-2-2111100022-122-1-1-1-22112-1-1-1-122222-1-12-1-1-1-12222-1-1-2-21111-1-1-1-1000000000-2-21111000
χ2322-122-1-1-1-22112-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-2-211111+i321−i321+i321−i320000000001+i31−i3−1−i32−1−i32−1+i32−1+i3200022-122-1-1-1-22112-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-2-211111+i321−i321+i321−i320000000001+i31−i3−1−i32−1−i32−1+i32−1+i32000
χ2422-122-1-1-1-22112-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-2-211111−i321+i321−i321+i320000000001−i31+i3−1+i32−1+i32−1−i32−1−i3200022-122-1-1-1-22112-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-2-211111−i321+i321−i321+i320000000001−i31+i3−1+i32−1+i32−1−i32−1−i32000
χ252-222-2-22-20200-222-2-222-2-2222-2-2-22222-2-2-2-200000022-2-20000000000000000002-222-2-22-20200-222-2-222-2-2222-2-2-22222-2-2-2-200000022-2-2000000000000000000
χ262-222-2-22-20200-222-2-2−1−i3−1+i31+i31−i3222-2-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000−1−i3−1+i31+i31−i30000000000000000002-222-2-22-20200-222-2-2−1−i3−1+i31+i31−i3222-2-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000−1−i3−1+i31+i31−i3000000000000000000
χ272-222-2-22-20200-222-2-2−1+i3−1−i31−i31+i3222-2-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000−1+i3−1−i31−i31+i30000000000000000002-222-2-22-20200-222-2-2−1+i3−1−i31−i31+i3222-2-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000−1+i3−1−i31−i31+i3000000000000000000
χ282-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110−i3i300−i3i3−i3i30000000002-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110−i3i300−i3i3−i3i3000000000
χ292-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110i3−i300i3−i3i3−i30000000002-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110i3−i300i3−i3i3−i3000000000
χ302-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320−i3i300−3+i323−i323+i32−3−i320000000002-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320−i3i300−3+i323−i323+i32−3−i32000000000
χ312-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320i3−i3003−i32−3+i32−3−i323+i320000000002-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320i3−i3003−i32−3+i32−3−i323+i32000000000
χ322-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320−i3i3003+i32−3−i32−3+i323−i320000000002-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320−i3i3003+i32−3−i32−3+i323−i32000000000
χ332-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320i3−i300−3−i323+i323−i32−3+i320000000002-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320i3−i300−3−i323+i323−i32−3+i32000000000
χ342-2-12-21-11023−3-2-1-11122-2-22-1-1-211-1-122-2-2110033−3−3-1-111000000000003−33−30002-2-12-21-11023−3-2-1-11122-2-22-1-1-211-1-122-2-2110033−3−3-1-111000000000003−33−3000
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χ7311111111-11-1-111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32-1-1-1-1-1-1-1-11-111-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321111111+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ7411111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32-11−i321+i32-1-1-1-1-1-1-1-11-111-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321111111−i321+i321−i321+i32-1-1-11−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ7511111111-11-1-111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32-1-1-1-1-1-1-1-11-111-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321111111−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ76222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-12-1-122-1-1-1-1000000000-2-2-211-2110-200-2-2-2-2-2-2-2-2-2111111-2-21111-2-20000001111-211-2-21111000000000
χ77222-1-12-1-10200222222222-1-1-1-1-1-122-1-1-1-122000000-1-1-1-1-211-2-21111000000000-2-2-211-2110-200-2-2-2-2-2-2-2-2-2111111-2-21111-2-200000011112-1-122-1-1-1-1000000000
χ78222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i322-1-1−1−i3−1+i31+i321+i321−i321−i32000000000-2-2-211-2110-200-2-2-2-2-21+i31−i31+i31−i31111111+i31−i3−1−i32−1+i32−1−i32−1+i321+i31−i3000000−1−i32−1+i32−1−i32−1+i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i32000000000
χ79222-1-12-1-1020022222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i30000001+i321−i321+i321−i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i32000000000-2-2-211-2110-200-2-2-2-2-21+i31−i31+i31−i31111111+i31−i3−1−i32−1+i32−1−i32−1+i321+i31−i3000000−1−i32−1+i32−1−i32−1+i322-1-1−1−i3−1+i31+i321+i321−i321−i32000000000
χ80222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i322-1-1−1+i3−1−i31−i321−i321+i321+i32000000000-2-2-211-2110-200-2-2-2-2-21−i31+i31−i31+i31111111−i31+i3−1+i32−1−i32−1+i32−1−i321−i31+i3000000−1+i32−1−i32−1+i32−1−i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i32000000000
χ81222-1-12-1-1020022222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i30000001−i321+i321−i321+i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i32000000000-2-2-211-2110-200-2-2-2-2-21−i31+i31−i31+i31111111−i31+i3−1+i32−1−i32−1+i32−1−i321−i31+i3000000−1+i32−1−i32−1+i32−1−i322-1-1−1+i3−1−i31−i321−i321+i321+i32000000000
χ8222-122-1-1-122-1-12-1-1-1-122222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-100000000022-1-1-1-1000-2-21-2-2111-2-211-21111-2-2-2-2-211-21111-2-2-2-211-2-211111111000000000-2-21111000
χ8322-122-1-1-122-1-12-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i3222-1-1-1-11+i321−i321+i321−i32000000000−1−i3−1+i31+i321+i321−i321−i32000-2-21-2-2111-2-211-211111+i31−i31+i31−i3-211-211−1−i32−1+i321+i31−i31+i31−i3−1−i32−1+i32-2-21111−1−i32−1+i32−1−i32−1+i320000000001+i31−i3−1−i32−1−i32−1+i32−1+i32000
χ8422-122-1-1-122-1-12-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i3222-1-1-1-11−i321+i321−i321+i32000000000−1+i3−1−i31−i321−i321+i321+i32000-2-21-2-2111-2-211-211111−i31+i31−i31+i3-211-211−1+i32−1−i321−i31+i31−i31+i3−1+i32−1−i32-2-21111−1+i32−1−i32−1+i32−1−i320000000001−i31+i3−1+i32−1+i32−1−i32−1−i32000
χ8522-122-1-1-1-22112-1-1-1-122222-1-12-1-1-1-12222-1-1-2-21111-1-1-1-1000000000-2-21111000-2-21-2-21112-2-1-1-21111-2-2-2-2-211-21111-2-2-2-21122-1-1-1-1111100000000022-1-1-1-1000
χ8622-122-1-1-1-22112-1-1-1-1−1−i3−1+i3−1−i3−1+i32-1-12-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32-2-211111+i321−i321+i321−i320000000001+i31−i3−1−i32−1−i32−1+i32−1+i32000-2-21-2-21112-2-1-1-211111+i31−i31+i31−i3-211-211−1−i32−1+i321+i31−i31+i31−i3−1−i32−1+i3222-1-1-1-1−1−i32−1+i32−1−i32−1+i32000000000−1−i3−1+i31+i321+i321−i321−i32000
χ8722-122-1-1-1-22112-1-1-1-1−1+i3−1−i3−1+i3−1−i32-1-12-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32-2-211111−i321+i321−i321+i320000000001−i31+i3−1+i32−1+i32−1−i32−1−i32000-2-21-2-21112-2-1-1-211111−i31+i31−i31+i3-211-211−1+i32−1−i321−i31+i31−i31+i3−1+i32−1−i3222-1-1-1-1−1+i32−1−i32−1+i32−1−i32000000000−1+i3−1−i31−i321−i321+i321+i32000
χ882-222-2-22-20200-222-2-222-2-2222-2-2-22222-2-2-2-200000022-2-2000000000000000000-22-2-222-220-2002-2-222-2-222-2-2-2222-2-2-2-22222000000-2-222000000000000000000
χ892-222-2-22-20200-222-2-2−1−i3−1+i31+i31−i3222-2-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000−1−i3−1+i31+i31−i3000000000000000000-22-2-222-220-2002-2-2221+i31−i3−1−i3−1+i3-2-2-22221+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i30000001+i31−i3−1−i3−1+i3000000000000000000
χ902-222-2-22-20200-222-2-2−1+i3−1−i31−i31+i3222-2-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000−1+i3−1−i31−i31+i3000000000000000000-22-2-222-220-2002-2-2221−i31+i3−1+i3−1−i3-2-2-22221−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i30000001−i31+i3−1+i3−1−i3000000000000000000
χ912-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110−i3i300−i3i3−i3i3000000000-22-21-121-10-2002-2-222-2-222111-1-1-1-2-211-1-12200000011-1-10i3−i300i3−i3i3−i3000000000
χ922-22-11-2-110200-222-2-222-2-2-1-1-111122-1-111-2-2000000-1-1110i3−i300i3−i3i3−i3000000000-22-21-121-10-2002-2-222-2-222111-1-1-1-2-211-1-12200000011-1-10−i3i300−i3i3−i3i3000000000
χ932-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320−i3i300−3+i323−i323+i32−3−i32000000000-22-21-121-10-2002-2-2221+i31−i3−1−i3−1+i3111-1-1-11+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i3000000−1−i32−1+i321+i321−i320i3−i3003−i32−3+i32−3−i323+i32000000000
χ942-22-11-2-110200-222-2-2−1−i3−1+i31+i31−i3-1-1-1111−1−i3−1+i31+i321−i32−1−i32−1+i321+i31−i30000001+i321−i32−1−i32−1+i320i3−i3003−i32−3+i32−3−i323+i32000000000-22-21-121-10-2002-2-2221+i31−i3−1−i3−1+i3111-1-1-11+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i3000000−1−i32−1+i321+i321−i320−i3i300−3+i323−i323+i32−3−i32000000000
χ952-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320−i3i3003+i32−3−i32−3+i323−i32000000000-22-21-121-10-2002-2-2221−i31+i3−1+i3−1−i3111-1-1-11−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i3000000−1+i32−1−i321−i321+i320i3−i300−3−i323+i323−i32−3+i32000000000
χ962-22-11-2-110200-222-2-2−1+i3−1−i31−i31+i3-1-1-1111−1+i3−1−i31−i321+i32−1+i32−1−i321−i31+i30000001−i321+i32−1+i32−1−i320i3−i300−3−i323+i323−i32−3+i32000000000-22-21-121-10-2002-2-2221−i31+i3−1+i3−1−i3111-1-1-11−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i3000000−1+i32−1−i321−i321+i320−i3i3003+i32−3−i32−3+i323−i32000000000
χ972-2-12-21-11023−3-2-1-11122-2-22-1-1-211-1-122-2-2110033−3−3-1-111000000000003−33−3000-221-22-11-10-2−33211-1-1-2-222-2112-1-111-2-222-1-100−3−33311-1-100000000000−33−33000
χ982-2-12-21-11023−3-2-1-111−1−i3−1+i31+i31−i32-1-1-2111+i321−i32−1−i3−1+i31+i31−i3−1−i32−1+i320033−3−31+i321−i32−1−i32−1+i3200000000000ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83000-221-22-11-10-2−33211-1-11+i31−i3−1−i3−1+i3-2112-1-1−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−3−333−1−i32−1+i321+i321−i3200000000000−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83000
χ992-2-12-21-11023−3-2-1-111−1+i3−1−i31−i31+i32-1-1-2111−i321+i32−1+i3−1−i31−i31+i3−1+i32−1−i320033−3−31−i321+i32−1+i32−1−i3200000000000−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83000-221-22-11-10-2−33211-1-11−i31+i3−1+i3−1−i3-2112-1-1−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−3−333−1+i32−1−i321−i321+i32000000000002ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83000
χ1002-2-12-21-1102−33-2-1-11122-2-22-1-1-211-1-122-2-21100−3−333-1-11100000000000−33−33000-221-22-11-10-23−3211-1-1-2-222-2112-1-111-2-222-1-10033−3−311-1-1000000000003−33−3000
χ1012-2-12-21-1102−33-2-1-111−1−i3−1+i31+i31−i32-1-1-2111+i321−i32−1−i3−1+i31+i31−i3−1−i32−1+i3200−3−3331+i321−i32−1−i32−1+i3200000000000−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83000-221-22-11-10-23−3211-1-11+i31−i3−1−i3−1+i3-2112-1-1−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i320033−3−3−1−i32−1+i321+i321−i3200000000000ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83000
χ1022-2-12-21-1102−33-2-1-111−1+i3−1−i31−i31+i32-1-1-2111−i321+i32−1+i3−1−i31−i31+i3−1+i32−1−i3200−3−3331−i321+i32−1+i32−1−i32000000000002ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83000-221-22-11-10-23−3211-1-11−i31+i3−1+i3−1−i3-2112-1-1−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i320033−3−3−1+i32−1−i321−i321+i3200000000000−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83000
χ10344-2-2-2-21104004-2-2-2-24444-211-211-2-2-2-2-2-2-2-20000001111000000000000000000-4-42222-1-10-400-42222-4-4-4-42-1-12-1-122222222000000-1-1-1-1000000000000000000
χ10444-2-2-2-21104004-2-2-2-2−2−2i3−2+2i3−2−2i3−2+2i3-211-2111+i31−i31+i31−i31+i31−i31+i31−i3000000−1−i32−1+i32−1−i32−1+i32000000000000000000-4-42222-1-10-400-422222+2i32−2i32+2i32−2i32-1-12-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000001+i321−i321+i321−i32000000000000000000
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χ1176-6-36-63-330-133−3311+2121−212−1−212−1+2120000-11+2121−2121−1−212−1+21200000000−77ζ43−ζ47−ζ59+ζ67+ζ79−ζ83−ζ11+ζ19−ζ23+ζ31+ζ55−ζ71−ζ43+ζ47+ζ59−ζ67−ζ79+ζ83ζ11−ζ19+ζ23−ζ31−ζ55+ζ710000000000000000000000-663-66-33-301−3333-1−1−212−1+2121+2121−21200001−1−212−1+212-11+2121−212000000007−7−ζ43+ζ47+ζ59−ζ67−ζ79+ζ83ζ11−ζ19+ζ23−ζ31−ζ55+ζ71ζ43−ζ47−ζ59+ζ67+ζ79−ζ83−ζ11+ζ19−ζ23+ζ31+ζ55−ζ710000000000000000000000
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χ1231212-6-6-6-6330-200-21−211+211−211+2100001−1+212−1−2121−1+212−1−212000000000000000000000000000000000000-12-126666-3-302002−1+21−1−21−1+21−1−210000-11−2121+212-11−2121+212000000000000000000000000000000000000
χ12412-1212-66-12-660-2002-2-2220000111-1-1-1000000000000000000000000000000000000-1212-126-6126-60200-222-2-20000-1-1-1111000000000000000000000000000000000000
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χ12612-12-6-6663-30-20021−211+21−1+21−1−2100001−1+212−1−212-11−2121+212000000000000000000000000000000000000-121266-6-6-330200-2−1+21−1−211−211+210000-11−2121+2121−1+212−1−212000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.