Finite Group Databasebeta

← Group #13147396

Character table — Group #13147396

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111112229999991212121212121212181818181818181818181818181818111111222999999121212121212121218181818181818181818181818181811111122299999912121212121212121818181818181818181818181818181111112229999991212121212121212181818181818181818181818181818
order12336626622666633666666244446612121212121212124412121212412124412121212121212121212121244444121212121212121212122266662662266666666666624444661212121212121212441212121241212441212121212121212121212124444412121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i
χ4111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii
χ5111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1
χ6111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111
χ7111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii
χ8111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i
χ92-222-2-20002-222-2-222-2-200000000000000000002-222-2-20002-222-2-222-2-200000000000000000002-222-2-20002-222-2-222-2-200000000000000000002-222-2-20002-222-2-222-2-20000000000000000000
χ102-222-2-2000-22-2-22222-2-200000000000000000002-222-2-2000-22-2-22222-2-200000000000000000002-222-2-2000-22-2-22222-2-200000000000000000002-222-2-2000-22-2-22222-2-20000000000000000000
χ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ1233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ1333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ1533−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ1633−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ1733−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ1833−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ1933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ2033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ2133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ2433−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ2533−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
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χ13133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ73i3ζ113ζ7iiζ11ζ7ζ11ζ700000000−i−ii−ii−ζ11−ζ7−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-1-11-111+i321−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i323i3i3ζ113ζ73ζ113ζ7−3i−3ζ11−3ζ7−i−i−ζ11−ζ7−ζ11−ζ700000000ii−ii−iζ11ζ7ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ13233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ73i3ζ113ζ7iiζ11ζ7ζ11ζ700000000−ii−ii−i−ζ11−ζ7ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11-11+i321−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i323i3i3ζ113ζ73ζ113ζ7−3i−3ζ11−3ζ7−i−i−ζ11−ζ7−ζ11−ζ700000000i−ii−iiζ11ζ7−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ13333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000−i11-1-1−ζ7−ζ11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32-1-11−i321+i321−i321+i3200000000-1−i−iii1−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ73i3i3ζ73ζ113ζ73ζ113i3ζ73ζ11iiζ7ζ11ζ7ζ1100000000i-1-111ζ7ζ111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ13433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000−i-1-111−ζ7−ζ111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32-1-11−i321+i321−i321+i3200000000-1ii−i−i1−i321+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ73i3i3ζ73ζ113ζ73ζ113i3ζ73ζ11iiζ7ζ11ζ7ζ1100000000i11-1-1ζ7ζ11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ13533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ11iiζ7ζ11ζ7ζ1100000000i−i−i−i−iζ7ζ11−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i32000000001-1-1-1-1−1+i32−1−i321+i321−i321+i321−i321+i321−i321+i321−i323i3i3ζ73ζ113ζ73ζ113i3ζ73ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000−iiiii−ζ7−ζ11ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7
χ13633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ11iiζ7ζ11ζ7ζ1100000000iiiiiζ7ζ11ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i320000000011111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i323i3i3ζ73ζ113ζ73ζ113i3ζ73ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000−i−i−i−i−i−ζ7−ζ11−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7
χ13733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000i1-1-11ζ7ζ11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001−iii−i−1+i32−1−i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ73i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ11iiζ7ζ11ζ7ζ1100000000−i-111-1−ζ7−ζ111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ13833−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000i-111-1ζ7ζ111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001i−i−ii−1+i32−1−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ73i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ11iiζ7ζ11ζ7ζ1100000000−i1-1-11−ζ7−ζ11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ13933−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ11iiζ7ζ11ζ7ζ1100000000−i−ii−ii−ζ7−ζ11−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-1-11-111−i321+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i323i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000ii−ii−iζ7ζ11ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ14033−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ11iiζ7ζ11ζ7ζ1100000000−ii−ii−i−ζ7−ζ11ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11-11−i321+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i323i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ11−i−i−ζ7−ζ11−ζ7−ζ1100000000i−ii−iiζ7ζ11−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ1414444444440000001-21-211-2-2000000000000000−4i−4i−4i−4i−4i−4i−4i−4i−4i000000−i2i−i2i−i−i2i2i000000000000000-4-4-4-4-4-4-4-4-4000000-12-12-1-1220000000000000004i4i4i4i4i4i4i4i4i000000i−2ii−2iii−2i−2i000000000000000
χ142444444444000000-21-21-2-211000000000000000−4i−4i−4i−4i−4i−4i−4i−4i−4i0000002i−i2i−i2i2i−i−i000000000000000-4-4-4-4-4-4-4-4-40000002-12-122-1-10000000000000004i4i4i4i4i4i4i4i4i000000−2ii−2ii−2i−2iii000000000000000
χ143444444-4-4-40000001-21-2-1-122000000000000000−4i−4i−4i−4i−4i−4i4i4i4i000000−i2i−i2iii−2i−2i000000000000000-4-4-4-4-4-4444000000-12-1211-2-20000000000000004i4i4i4i4i4i−4i−4i−4i000000i−2ii−2i−i−i2i2i000000000000000
χ144444444-4-4-4000000-21-2122-1-1000000000000000−4i−4i−4i−4i−4i−4i4i4i4i0000002i−i2i−i−2i−2iii000000000000000-4-4-4-4-4-44440000002-12-1-2-2110000000000000004i4i4i4i4i4i−4i−4i−4i000000−2ii−2ii2i2i−i−i000000000000000
χ1454-444-4-40000000001-2-123-300000000000000000−4i4i−4i−4i4i4i000000000−i2ii−2i−3i3i00000000000000000-44-4-444000000000-121-2-33000000000000000004i−4i4i4i−4i−4i000000000i−2i−i2i3i−3i00000000000000000
χ1464-444-4-40000000001-2-12-3300000000000000000−4i4i−4i−4i4i4i000000000−i2ii−2i3i−3i00000000000000000-44-4-444000000000-121-23-3000000000000000004i−4i4i4i−4i−4i000000000i−2i−i2i−3i3i00000000000000000
χ1474-444-4-4000000000-212-1003-3000000000000000−4i4i−4i−4i4i4i0000000002i−i−2ii00−3i3i000000000000000-44-4-4440000000002-1-2100-330000000000000004i−4i4i4i−4i−4i000000000−2ii2i−i003i−3i000000000000000
χ1484-444-4-4000000000-212-100-33000000000000000−4i4i−4i−4i4i4i0000000002i−i−2ii003i−3i000000000000000-44-4-4440000000002-1-21003-30000000000000004i−4i4i4i−4i−4i000000000−2ii2i−i00−3i3i000000000000000
χ1496-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i300000000000000000000000−6i6i−6ζ11−6ζ76ζ116ζ7000−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000-663+3i33−3i3−3−3i3−3+3i3000-221+i31−i3−1−i3−1+i3000000000000000000000006i−6i6ζ116ζ7−6ζ11−6ζ70002i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000
χ1506-6−3−3i3−3+3i33+3i33−3i3000-221+i31−i3−1−i3−1+i300000000000000000000000−6i6i−6ζ11−6ζ76ζ116ζ70002i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000-663+3i33−3i3−3−3i3−3+3i30002-2−1−i3−1+i31+i31−i3000000000000000000000006i−6i6ζ116ζ7−6ζ11−6ζ7000−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000
χ1516-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i300000000000000000000000−6i6i−6ζ7−6ζ116ζ76ζ11000−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000-663−3i33+3i3−3+3i3−3−3i3000-221−i31+i3−1+i3−1−i3000000000000000000000006i−6i6ζ76ζ11−6ζ7−6ζ110002i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000
χ1526-6−3+3i3−3−3i33−3i33+3i3000-221−i31+i3−1+i3−1−i300000000000000000000000−6i6i−6ζ7−6ζ116ζ76ζ110002i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000-663−3i33+3i3−3+3i3−3−3i30002-2−1+i3−1−i31−i31+i3000000000000000000000006i−6i6ζ76ζ11−6ζ7−6ζ11000−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000

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