Finite Group Databasebeta

← Group #11721503

Character table — Group #11721503

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122222222222333366666666666666666666666666666636363636363611222222222223333666666666666666666666666666666363636363636
order12346881212242424243366333666121212121212121224242424242424242424242424242424246612122264688121224242424666666666612121212121212122424242424242424242424242424242424661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ41111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i321111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ51111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ61111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i321111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ711111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ811111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ911111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1−1−i32−1+i321+i321−i3211111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1011111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-111+i321−i32−1−i32−1+i3211111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-111+i321−i32−1−i32−1+i32
χ1111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1−1+i32−1−i321−i321+i3211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-111−i321+i32−1+i32−1−i3211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1322222222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000022222222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000
χ142222222222222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i320000002222222222222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32000000
χ152222222222222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i320000002222222222222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32000000
χ1622222-2-222-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-11111-2-21111-2-2111100000022222-2-222-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-11111-2-21111-2-21111000000
χ1722222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i3211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000022222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i3211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ1822222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i3211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000022222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i3211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ19222-2200-2-200002222222222-2-2-2-2-2-2-2-20000000000000000000000222-2200-2-200002222222222-2-2-2-2-2-2-2-20000000000000000000000
χ20222-2200-2-200002222-1-1-1-1-1-1-2-211111133−3−30033−3−30033−3−3000000222-2200-2-200002222-1-1-1-1-1-1-2-211111133−3−30033−3−30033−3−3000000
χ21222-2200-2-200002222-1-1-1-1-1-1-2-2111111−3−33300−3−33300−3−333000000222-2200-2-200002222-1-1-1-1-1-1-2-2111111−3−33300−3−33300−3−333000000
χ22222-2200-2-20000−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i30000000000000000000000222-2200-2-20000−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i30000000000000000000000
χ23222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000
χ24222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000
χ25222-2200-2-20000−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i30000000000000000000000222-2200-2-20000−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i30000000000000000000000
χ26222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000
χ27222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000
χ282-220-2−i2i200−i2−i2i2i222-2-2222-2-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000002-220-2−i2i200−i2−i2i2i222-2-2222-2-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ292-220-2−i2i200−i2−i2i2i222-2-2-1-1-1111003−33−33−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-2−i2i200−i2−i2i2i222-2-2-1-1-1111003−33−33−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ302-220-2−i2i200−i2−i2i2i222-2-2-1-1-111100−33−33−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-2−i2i200−i2−i2i2i222-2-2-1-1-111100−33−33−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ312-220-2−i2i200−i2−i2i2i2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i300000000−i2i2−i2i2ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000002-220-2−i2i200−i2−i2i2i2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i300000000−i2i2−i2i2ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000
χ322-220-2−i2i200−i2−i2i2i2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32003−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ7+ζ13−ζ7−ζ13−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ130000002-220-2−i2i200−i2−i2i2i2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32003−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ7+ζ13−ζ7−ζ13−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13000000
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χ342-220-2−i2i200−i2−i2i2i2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i300000000−i2i2−i2i2ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000002-220-2−i2i200−i2−i2i2i2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i300000000−i2i2−i2i2ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000
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χ77222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000-2-2-22-2002200001+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i3233−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000
χ78222-2200-2-20000−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i30000000000000000000000-2-2-22-2002200001−i31+i31−i31+i3-21−i31+i3-21−i31+i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i30000000000000000000000
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χ80222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000-2-2-22-2002200001−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i3233−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000
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χ972-220-2i2−i200i2i2−i2−i2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32003−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ23ζ5+ζ23ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23000000-22-202−i2i200−i2−i2i2i21−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i3200−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23000000
χ982-220-2i2−i200i2i2−i2−i2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i3200−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ23ζ5+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ23−ζ7−ζ13ζ7+ζ13−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23000000-22-202−i2i200−i2−i2i2i21−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32003−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ23−ζ5−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ23ζ7+ζ13−ζ7−ζ13ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ23000000
χ9966-36-366-3-3-3-3-3-30000000000000000000000000000000000000000-6-63-63-6-63333330000000000000000000000000000000000000000
χ10066-36-3-6-6-3-333330000000000000000000000000000000000000000-6-63-636633-3-3-3-30000000000000000000000000000000000000000
χ10166-3-6-3003333−3333−330000000000000000000000000000000000000000-6-636300-3-3−3333−33330000000000000000000000000000000000000000
χ10266-3-6-30033−3333−33330000000000000000000000000000000000000000-6-636300-3-333−3333−330000000000000000000000000000000000000000
χ1036-6-303−3i23i233−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ230000000000000000000000000000000000000000-6630-33i2−3i2−3333−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ230000000000000000000000000000000000000000
χ1046-6-303−3i23i2−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ70000000000000000000000000000000000000000-6630-33i2−3i233−33−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ70000000000000000000000000000000000000000
χ1056-6-3033i2−3i233−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ230000000000000000000000000000000000000000-6630-3−3i23i2−33333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ230000000000000000000000000000000000000000
χ1066-6-3033i2−3i2−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ70000000000000000000000000000000000000000-6630-3−3i23i233−333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ70000000000000000000000000000000000000000

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