Finite Group Databasebeta

← Group #11773869

Character table — Group #11773869

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424
order12222222223444466612121212446666661212121212128888242424242424242444444444888836666666663121212126661212121212126666661212121212122424242424242424242424241212121212121212242424243666666666312121212666121212121212666666121212121212242424242424242424242424121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i
χ611111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii
χ711111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii
χ811111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i11111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i
χ9111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii
χ14111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i
χ15111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i
χ16111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii
χ172222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ182222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ192222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-11111112i2i−2i−2i−i−i−i−iiiii0000000000002222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-11111112i2i−2i−2i−i−i−i−iiiii0000000000002222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-11111112i2i−2i−2i−i−i−i−iiiii000000000000
χ202222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-1111111−2i−2i2i2iiiii−i−i−i−i0000000000002222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-1111111−2i−2i2i2iiiii−i−i−i−i0000000000002222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-1111111−2i−2i2i2iiiii−i−i−i−i000000000000
χ21222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-111112-22-2-1-111-1-111000000000000222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-111112-22-2-1-111-1-111000000000000222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-111112-22-2-1-111-1-111000000000000
χ22222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-11111-22-2211-1-111-1-1000000000000222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-11111-22-2211-1-111-1-1000000000000222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-11111-22-2211-1-111-1-1000000000000
χ23222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000
χ24222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-1−2i2i2i−2iii−i−i−i−iii000000000000222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-1−2i2i2i−2iii−i−i−i−iii000000000000222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-1−2i2i2i−2iii−i−i−i−iii000000000000
χ252222-2-222-2-2222-2-222222222-2-2-222-2-2-2-222-2-20000000000000000000000002222-2-222-2-2222-2-222222222-2-2-222-2-2-2-222-2-20000000000000000000000002222-2-222-2-2222-2-222222222-2-2-222-2-2-2-222-2-2000000000000000000000000
χ262222-2-222-2-22-2-222222-2-2-2-2-22-2-222-2-222-2-2220000000000000000000000002222-2-222-2-22-2-222222-2-2-2-2-22-2-222-2-222-2-2220000000000000000000000002222-2-222-2-22-2-222222-2-2-2-2-22-2-222-2-222-2-222000000000000000000000000
χ272222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ282222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000002222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000002222-2-222-2-2-122-2-2-1-1-1-1-1-1-12-211-1-11111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ292222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-100003−33−3−33−330000000000002222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-100003−33−3−33−330000000000002222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-100003−33−3−33−33000000000000
χ302222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-10000−33−333−33−30000000000002222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-10000−33−333−33−30000000000002222-2-222-2-2-1-2-222-1-1-11111-2211-1-111-1-111-1-10000−33−333−33−3000000000000
χ312222-2-2-2-222222-2-22222222-22-2-2-2-222-2-2-2-2220000000000000000000000002222-2-2-2-222222-2-22222222-22-2-2-2-222-2-2-2-2220000000000000000000000002222-2-2-2-222222-2-22222222-22-2-2-2-222-2-2-2-222000000000000000000000000
χ322222-2-2-2-2222-2-222222-2-2-2-22-2-2-2-2-2222222-2-20000000000000000000000002222-2-2-2-2222-2-222222-2-2-2-22-2-2-2-2-2222222-2-20000000000000000000000002222-2-2-2-2222-2-222222-2-2-2-22-2-2-2-2-2222222-2-2000000000000000000000000
χ332222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000−i3i3i3−i3−i3i3i3−i30000000000002222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000−i3i3i3−i3−i3i3i3−i30000000000002222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000i3−i3−i3i3i3−i3−i3i30000000000002222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000i3−i3−i3i3i3−i3−i3i30000000000002222-2-2-2-222-122-2-2-1-1-1-1-1-1-1-221111-1-11111-1-10000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-11100003−3−33−333−30000000000002222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-11100003−3−33−333−30000000000002222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-11100003−3−33−333−3000000000000
χ362222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-1110000−333−33−3−330000000000002222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-1110000−333−33−3−330000000000002222-2-2-2-222-1-2-222-1-1-111112-21111-1-1-1-1-1-1110000−333−33−3−33000000000000
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χ412-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i00000000000000002-2002i−2i0000002-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i00000000000000002-2002i−2i0000002-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i00000000000000002-2002i−2i000000
χ422-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i0000000000000000-2200−2i2i0000002-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i0000000000000000-2200−2i2i0000002-22-2-22000022i−2i−2i2i2-2-22i2i−2i−2i00-220000−2i2i0000000000000000-2200−2i2i000000
χ432-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i00000000000000002-200−2i2i0000002-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i00000000000000002-200−2i2i0000002-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i00000000000000002-200−2i2i000000
χ442-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i0000000000000000-22002i−2i0000002-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i0000000000000000-22002i−2i0000002-22-2-2200002−2i2i2i−2i2-2-2−2i−2i2i2i00-2200002i−2i0000000000000000-22002i−2i000000
χ4544-4-400004-440000-44-400000000004-400000000000000000000000000000044-4-400004-440000-44-400000000004-400000000000000000000000000000044-4-400004-440000-44-400000000004-4000000000000000000000000000000
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χ69111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ70111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ71111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
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χ129111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ130111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ131111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ132111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ133111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7
χ134111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7
χ135111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ136111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7
χ1372222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1382222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1392222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-11111112i2i−2i−2i−i−i−i−iiiii000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i322ζ112ζ11−2ζ11−2ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i322ζ72ζ7−2ζ7−2ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7000000000000
χ1402222222222-1-2-2-2-2-1-1-11111-2-2-1-1-1-1-1-1111111−2i−2i2i2iiiii−i−i−i−i000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−2ζ11−2ζ112ζ112ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−2ζ7−2ζ72ζ72ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7000000000000
χ141222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-111112-22-2-1-111-1-111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000000
χ142222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-1-11111-1-11111-22-2211-1-111-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000000
χ143222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i322ζ11−2ζ11−2ζ112ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i322ζ7−2ζ7−2ζ72ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7000000000000
χ144222222-2-2-2-2-1-2-2-2-2-1-1-1111122-1-1111111-1-1-1-1−2i2i2i−2iii−i−i−i−iii000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−2ζ112ζ112ζ11−2ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−2ζ72ζ72ζ7−2ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7000000000000
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χ1714-44-44-40000-24i−4i4i−4i-222−2i−2i2i2i00-220000−2i2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i300001+i34ζ11−4ζ114ζ11−4ζ111+i3−1−i3−1−i3−2ζ11−2ζ112ζ112ζ11001+i3−1−i30000−2ζ112ζ110000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i300001−i34ζ7−4ζ74ζ7−4ζ71−i3−1+i3−1+i3−2ζ7−2ζ72ζ72ζ7001−i3−1+i30000−2ζ72ζ70000000000000000000000000000
χ1724-44-44-40000-2−4i4i−4i4i-2222i2i−2i−2i00-2200002i−2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i300001+i3−4ζ114ζ11−4ζ114ζ111+i3−1−i3−1−i32ζ112ζ11−2ζ11−2ζ11001+i3−1−i300002ζ11−2ζ110000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i300001−i3−4ζ74ζ7−4ζ74ζ71−i3−1+i3−1+i32ζ72ζ7−2ζ7−2ζ7001−i3−1+i300002ζ7−2ζ70000000000000000000000000000
χ1734-44-4-440000-24i−4i−4i4i-222−2i−2i2i2i002-200002i−2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300001+i34ζ11−4ζ11−4ζ114ζ111+i3−1−i3−1−i3−2ζ11−2ζ112ζ112ζ1100−1−i31+i300002ζ11−2ζ110000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300001−i34ζ7−4ζ7−4ζ74ζ71−i3−1+i3−1+i3−2ζ7−2ζ72ζ72ζ700−1+i31−i300002ζ7−2ζ70000000000000000000000000000
χ1744-44-4-440000-2−4i4i4i−4i-2222i2i−2i−2i002-20000−2i2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300001+i3−4ζ114ζ114ζ11−4ζ111+i3−1−i3−1−i32ζ112ζ11−2ζ11−2ζ1100−1−i31+i30000−2ζ112ζ110000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300001−i3−4ζ74ζ74ζ7−4ζ71−i3−1+i3−1+i32ζ72ζ7−2ζ7−2ζ700−1+i31−i30000−2ζ72ζ70000000000000000000000000000
χ1754-4-44004-40040000-4-44000000004-400000000000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i300−2−2i300002+2i32+2i3−2−2i300000000−2−2i32+2i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i300−2+2i300002−2i32−2i3−2+2i300000000−2+2i32−2i300000000000000000000000000000000
χ1764-4-44004-400-2000022-2−2i32i32i3−2i30000-220000−2i32i300000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3001+i30000−1−i3−1−i31+i3−3+i33−i33−i3−3+i300001+i3−1−i30000−3+i33−i300000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3001−i30000−1+i3−1+i31−i33+i3−3−i3−3−i33+i300001−i3−1+i300003+i3−3−i300000000000000000000000000
χ1774-4-44004-400-2000022-22i3−2i3−2i32i30000-2200002i3−2i300000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3001+i30000−1−i3−1−i31+i33−i3−3+i3−3+i33−i300001+i3−1−i300003−i3−3+i300000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3001−i30000−1+i3−1+i31−i3−3−i33+i33+i3−3−i300001−i3−1+i30000−3−i33+i300000000000000000000000000
χ1784-4-4400-440040000-4-4400000000-4400000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i300−2−2i300002+2i32+2i3−2−2i3000000002+2i3−2−2i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i300−2+2i300002−2i32−2i3−2+2i3000000002−2i3−2+2i300000000000000000000000000000000
χ1794-4-4400-4400-2000022-2−2i32i32i3−2i300002-200002i3−2i300000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i3001+i30000−1−i3−1−i31+i3−3+i33−i33−i3−3+i30000−1−i31+i300003−i3−3+i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i3001−i30000−1+i3−1+i31−i33+i3−3−i3−3−i33+i30000−1+i31−i30000−3−i33+i300000000000000000000000000
χ1804-4-4400-4400-2000022-22i3−2i3−2i32i300002-20000−2i32i300000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i3001+i30000−1−i3−1−i31+i33−i3−3+i3−3+i33−i30000−1−i31+i30000−3+i33−i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i3001−i30000−1+i3−1+i31−i3−3−i33+i33+i3−3−i30000−1+i31−i300003+i3−3−i300000000000000000000000000

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