Finite Group Databasebeta

← Group #11787101

Character table — Group #11787101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444888888888888888812121212121212121212121224241111222222222244444444448888888888888888121212121212121212121212242411112222222222444444444488888888888888881212121212121212121212122424
order12442223444612126668888121212448812121212242424242424242422448888888844361212666312121261212666242424241212121212242412121212242424242424242466121224242424242424241212361212666312121261212666242424241212121212242412121212242424242424242466121224242424242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ1111-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii1-11-1ii−i−i−i−iii-1111-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii1-11-1ii−i−i−i−iii-1111-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii1-11-1ii−i−i−i−iii-11
χ1211-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii-11-11−i−iiiii−i−i1-111-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii-11-11−i−iiiii−i−i1-111-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii-11-11−i−iiiii−i−i1-1
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χ1411-1-11111-1-1-11-1-1111−i−iii-1-1-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1111-1-11111-1-1-11-1-1111−i−iii-1-1-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1111-1-11111-1-1-11-1-1111−i−iii-1-1-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-11
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χ182222222-1222-1-1-1-1-1-12222-1-1-1-2-2-2-21111-1-1-1-11111000000000000002222222-1222-1-1-1-1-1-12222-1-1-1-2-2-2-21111-1-1-1-11111000000000000002222222-1222-1-1-1-1-1-12222-1-1-1-2-2-2-21111-1-1-1-1111100000000000000
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χ202222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-22211111111-1-1-1-1000000000000002222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-22211111111-1-1-1-1000000000000002222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-22211111111-1-1-1-100000000000000
χ2122222-2-22-2-222222-2-20000-2-2200000000000000002-2-22000000000022222-2-22-2-222222-2-20000-2-2200000000000000002-2-22000000000022222-2-22-2-222222-2-20000-2-2200000000000000002-2-220000000000
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χ232222-22-222-2-2222-2-2200002-2-2000000000000000000002-22-20000002222-22-222-2-2222-2-2200002-2-2000000000000000000002-22-20000002222-22-222-2-2222-2-2200002-2-2000000000000000000002-22-2000000
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χ252222-2-222-22-2222-22-22-22-2-22-2000000002-22-20000000000000000002222-2-222-22-2222-22-22-22-2-22-2000000002-22-20000000000000000002222-2-222-22-2222-22-22-22-2-22-2000000002-22-2000000000000000000
χ262222-2-222-22-2222-22-2-22-22-22-200000000-22-220000000000000000002222-2-222-22-2222-22-2-22-22-22-200000000-22-220000000000000000002222-2-222-22-2222-22-2-22-22-22-200000000-22-22000000000000000000
χ272222-2-22-1-22-2-1-1-11-112-22-21-1100003−33−3-11-113−33−3000000000000002222-2-22-1-22-2-1-1-11-112-22-21-1100003−33−3-11-113−33−3000000000000002222-2-22-1-22-2-1-1-11-112-22-21-1100003−33−3-11-113−33−300000000000000
χ282222-2-22-1-22-2-1-1-11-112-22-21-110000−33−33-11-11−33−33000000000000002222-2-22-1-22-2-1-1-11-112-22-21-110000−33−33-11-11−33−33000000000000002222-2-22-1-22-2-1-1-11-112-22-21-110000−33−33-11-11−33−3300000000000000
χ292222-2-22-1-22-2-1-1-11-11-22-221-1100003−33−31-11-1−33−33000000000000002222-2-22-1-22-2-1-1-11-11-22-221-1100003−33−31-11-1−33−33000000000000002222-2-22-1-22-2-1-1-11-11-22-221-1100003−33−31-11-1−33−3300000000000000
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χ11711-1-11111-1-1-11-1-1111ii−i−i-1-1-11-1i−i11-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32
χ11811-1-11111-1-1-11-1-1111ii−i−i-1-1-11-1i−i11-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32
χ11911-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii1-11-1ii−i−i−i−iii-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i321+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i321−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32
χ12011-1-11111-1-1-11-1-1111ii−i−i-1-1-1-11−ii-1-111ii−i−i−i−iii-11-11−i−iiiii−i−i1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i321+i321+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i321−i321−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32
χ12111-1-11111-1-1-11-1-1111−i−iii-1-1-11-1−ii11-1-1−i−iii−i−iii1-11-1−i−iii−i−iii1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32
χ12211-1-11111-1-1-11-1-1111−i−iii-1-1-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32
χ12311-1-11111-1-1-11-1-1111−i−iii-1-1-1-11i−i-1-111−i−iiiii−i−i1-11-1−i−iiiii−i−i-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i321+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i321−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32
χ12411-1-11111-1-1-11-1-1111−i−iii-1-1-1-11i−i-1-111−i−iiiii−i−i-11-11ii−i−i−i−iii1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i321+i321+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i321−i321−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32
χ1252222222-1222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000
χ1262222222-1222-1-1-1-1-1-12222-1-1-1-2-2-2-21111-1-1-1-1111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ1272222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-11111111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ1282222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-22211111111-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000
χ12922222-2-22-2-222222-2-20000-2-2200000000000000002-2-220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i3−1−i30000000000000000−1−i31+i31+i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i3−1+i30000000000000000−1+i31−i31−i3−1+i30000000000
χ13022222-2-22-2-222222-2-20000-2-220000000000000000-222-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i3−1−i300000000000000001+i3−1−i3−1−i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i3−1+i300000000000000001−i3−1+i3−1+i31−i30000000000
χ1312222-22-222-2-2222-2-2200002-2-2000000000000000000002-22-2000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i30000−1−i31+i31+i300000000000000000000−1−i31+i3−1−i31+i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i30000−1+i31−i31−i300000000000000000000−1+i31−i3−1+i31−i3000000
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χ1332222-2-222-22-2222-22-22-22-2-22-2000000002-22-2000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i300000000−1−i31+i3−1−i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i300000000−1+i31−i3−1+i31−i3000000000000000000
χ1342222-2-222-22-2222-22-2-22-22-22-200000000-22-22000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000001+i3−1−i31+i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000001−i3−1+i31−i3−1+i3000000000000000000
χ1352222-2-22-1-22-2-1-1-11-112-22-21-1100003−33−3-11-113−33−300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i32−1−i31+i3−1−i31+i3−1−i321+i32−1−i3200002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i32−1−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i32−1+i31−i3−1+i31−i3−1+i321−i32−1+i320000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i32−1+i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000
χ1362222-2-22-1-22-2-1-1-11-112-22-21-110000−33−33-11-11−33−3300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i32−1−i31+i3−1−i31+i3−1−i321+i32−1−i320000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i32−1−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i32−1+i31−i3−1+i31−i3−1+i321−i32−1+i320000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i32−1+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000
χ1372222-2-22-1-22-2-1-1-11-11-22-221-1100003−33−31-11-1−33−3300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i321+i3−1−i31+i3−1−i3−1−i321+i32−1−i3200002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−1−i321+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i321−i3−1+i31−i3−1+i3−1+i321−i32−1+i320000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000
χ1382222-2-22-1-22-2-1-1-11-11-22-221-110000−33−331-11-13−33−300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i31+i321+i321+i32−1−i321+i32−1−i321+i3−1−i31+i3−1−i3−1−i321+i32−1−i320000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−1−i321+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i31−i321−i321−i32−1+i321−i32−1+i321−i3−1+i31−i3−1+i3−1+i321−i32−1+i320000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−1+i321−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000
χ13922-2-2222-1-2-2-2-111-1-1-12i2i−2i−2i1112-22i−2i-1-111−i−iii−i−iii00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i322ζ222ζ22−2ζ22−2ζ22−1−i32−1−i32−1−i32−1−i31+i32ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ2200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i322ζ142ζ14−2ζ14−2ζ14−1+i32−1+i32−1+i32−1+i31−i32ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ1400000000000000
χ14022-2-2222-1-2-2-2-111-1-1-12i2i−2i−2i111-22−2i2i11-1-1−i−iiiii−i−i00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i322ζ222ζ22−2ζ22−2ζ22−1−i32−1−i32−1−i321+i3−1−i3−2ζ222ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ2200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i322ζ142ζ14−2ζ14−2ζ14−1+i32−1+i32−1+i321−i3−1+i3−2ζ142ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ1400000000000000
χ14122-2-2222-1-2-2-2-111-1-1-1−2i−2i2i2i1112-2−2i2i-1-111ii−i−iii−i−i00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−2ζ22−2ζ222ζ222ζ22−1−i32−1−i32−1−i32−1−i31+i3−2ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ2200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−2ζ14−2ζ142ζ142ζ14−1+i32−1+i32−1+i32−1+i31−i3−2ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ1400000000000000
χ14222-2-2222-1-2-2-2-111-1-1-1−2i−2i2i2i111-222i−2i11-1-1ii−i−i−i−iii00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−2ζ22−2ζ222ζ222ζ22−1−i32−1−i32−1−i321+i3−1−i32ζ22−2ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ2200000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−2ζ14−2ζ142ζ142ζ14−1+i32−1+i32−1+i321−i3−1+i32ζ14−2ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ1400000000000000
χ14322-2-22-2-2222-22-2-22-2-2000022-2000000000000000022-2-20000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i30000000000000000−1−i3−1−i31+i31+i30000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i30000000000000000−1+i3−1+i31−i31−i30000000000
χ14422-2-22-2-2222-22-2-22-2-2000022-20000000000000000-2-2220000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i300000000000000001+i31+i3−1−i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i300000000000000001−i31−i3−1+i3−1+i30000000000
χ14522-2-2-22-22-2222-2-2-2-220000-222000000000000000000002i−2i−2i2i000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i3−1−i3000000000000000000002ζ22−2ζ22−2ζ222ζ22000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i3−1+i3000000000000000000002ζ14−2ζ14−2ζ142ζ14000000
χ14622-2-2-22-22-2222-2-2-2-220000-22200000000000000000000−2i2i2i−2i000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i3−1−i300000000000000000000−2ζ222ζ222ζ22−2ζ22000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i3−1+i300000000000000000000−2ζ142ζ142ζ14−2ζ14000000
χ14722-2-2-2-2222-222-2-2-22-22i−2i−2i2i2-22000000002i−2i−2i2i000000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i32ζ22−2ζ22−2ζ222ζ22−1−i31+i3−1−i3000000002ζ22−2ζ22−2ζ222ζ22000000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i32ζ14−2ζ14−2ζ142ζ14−1+i31−i3−1+i3000000002ζ14−2ζ14−2ζ142ζ14000000000000000000
χ14822-2-2-2-2222-222-2-2-22-2−2i2i2i−2i2-2200000000−2i2i2i−2i000000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−2ζ222ζ222ζ22−2ζ22−1−i31+i3−1−i300000000−2ζ222ζ222ζ22−2ζ22000000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−2ζ142ζ142ζ14−2ζ14−1+i31−i3−1+i300000000−2ζ142ζ142ζ14−2ζ14000000000000000000
χ14922-2-2-2-22-12-22-1111-112i−2i−2i2i-11-100003−3−33−iii−ii3−i3−i3i300000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i32−1−i322ζ22−2ζ22−2ζ222ζ221+i32−1−i321+i3200002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−ζ22ζ22ζ22−ζ223−i32−3+i32−3+i323−i3200000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i32−1+i322ζ14−2ζ14−2ζ142ζ141−i32−1+i321−i320000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14ζ14ζ14−ζ14−3−i323+i323+i32−3−i3200000000000000
χ15022-2-2-2-22-12-22-1111-112i−2i−2i2i-11-10000−333−3−iii−i−i3i3i3−i300000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i32−1−i322ζ22−2ζ22−2ζ222ζ221+i32−1−i321+i320000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−ζ22ζ22ζ22−ζ22−3+i323−i323−i32−3+i3200000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i32−1+i322ζ14−2ζ14−2ζ142ζ141−i32−1+i321−i320000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14ζ14ζ14−ζ143+i32−3−i32−3−i323+i3200000000000000
χ15122-2-2-2-22-12-22-1111-11−2i2i2i−2i-11-100003−3−33i−i−ii−i3i3i3−i300000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i32−1−i32−2ζ222ζ222ζ22−2ζ221+i32−1−i321+i3200002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22ζ22−ζ22−ζ22ζ22−3+i323−i323−i32−3+i3200000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i32−1+i32−2ζ142ζ142ζ14−2ζ141−i32−1+i321−i320000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14−ζ14ζ143+i32−3−i32−3−i323+i3200000000000000
χ15222-2-2-2-22-12-22-1111-11−2i2i2i−2i-11-10000−333−3i−i−iii3−i3−i3i300000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i32−1−i32−2ζ222ζ222ζ22−2ζ221+i32−1−i321+i320000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22ζ22−ζ22−ζ22ζ223−i32−3+i32−3+i323−i3200000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i32−1+i32−2ζ142ζ142ζ14−2ζ141−i32−1+i321−i320000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14−ζ14ζ14−3−i323+i323+i32−3−i3200000000000000
χ15344444-4-4-2-4-44-2-2-2-222000022-2000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i32+2i32+2i3−2−2i31+i31+i31+i31+i3−1−i3−1−i30000−1−i3−1−i31+i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2i32−2i3−2+2i31−i31−i31−i31−i3−1+i3−1+i30000−1+i3−1+i31−i3000000000000000000000000000000
χ1544444-44-4-24-4-4-2-2-222-20000-222000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−2−2i32+2i32+2i31+i31+i31+i3−1−i3−1−i31+i300001+i3−1−i3−1−i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−2+2i32−2i32−2i31−i31−i31−i3−1+i3−1+i31−i300001−i3−1+i3−1+i3000000000000000000000000000000
χ15544-4-44-4-4-244-4-222-2220000-2-22000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i31+i3−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i3−1−i300001+i31+i3−1−i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i31−i3−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i3−1+i300001−i31−i3−1+i3000000000000000000000000000000
χ15644-4-4-44-4-2-444-22222-200002-2-2000000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i31+i32+2i3−2−2i3−2−2i31+i3−1−i3−1−i3−1−i3−1−i31+i30000−1−i31+i31+i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i31−i32−2i3−2+2i3−2+2i31−i3−1+i3−1+i3−1+i3−1+i31−i30000−1+i31−i31−i3000000000000000000000000000000
χ1574-44i−4i0004000-44i−4i00000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2−2i32+2i34ζ22−4ζ22000−2−2i30002+2i34ζ22−4ζ220000000000000000000000000000000000−2ζ72ζ72ζ13−2ζ1300−2+2i32−2i34ζ14−4ζ14000−2+2i30002−2i34ζ14−4ζ140000000000000000000000000000000000−2ζ232ζ232ζ5−2ζ500
χ1584-44i−4i0004000-44i−4i0000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2−2i32+2i34ζ22−4ζ22000−2−2i30002+2i34ζ22−4ζ2200000000000000000000000000000000002ζ7−2ζ7−2ζ132ζ1300−2+2i32−2i34ζ14−4ζ14000−2+2i30002−2i34ζ14−4ζ1400000000000000000000000000000000002ζ23−2ζ23−2ζ52ζ500
χ1594-4−4i4i0004000-4−4i4i0000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2−2i32+2i3−4ζ224ζ22000−2−2i30002+2i3−4ζ224ζ2200000000000000000000000000000000002ζ13−2ζ13−2ζ72ζ700−2+2i32−2i3−4ζ144ζ14000−2+2i30002−2i3−4ζ144ζ1400000000000000000000000000000000002ζ5−2ζ5−2ζ232ζ2300
χ1604-4−4i4i0004000-4−4i4i00000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2−2i32+2i3−4ζ224ζ22000−2−2i30002+2i3−4ζ224ζ220000000000000000000000000000000000−2ζ132ζ132ζ7−2ζ700−2+2i32−2i3−4ζ144ζ14000−2+2i30002−2i3−4ζ144ζ140000000000000000000000000000000000−2ζ52ζ52ζ23−2ζ2300
χ1618-88i−8i000-40004−4i4i0000000000000000000000000000000000000000−4−4i34+4i38ζ22−8ζ220002+2i3000−2−2i3−4ζ224ζ220000000000000000000000000000000000000000−4+4i34−4i38ζ14−8ζ140002−2i3000−2+2i3−4ζ144ζ140000000000000000000000000000000000000000
χ1628-8−8i8i000-400044i−4i0000000000000000000000000000000000000000−4−4i34+4i3−8ζ228ζ220002+2i3000−2−2i34ζ22−4ζ220000000000000000000000000000000000000000−4+4i34−4i3−8ζ148ζ140002−2i3000−2+2i34ζ14−4ζ140000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.