Finite Group Databasebeta

← Group #11793152

Character table — Group #11793152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666688881212121224242424242424242244666612121212224488884444366666663121212126666666242424241212121224242424242424246612126666121212126612122424242412121212366666663121212126666666242424241212121224242424242424246612126666121212126612122424242412121212
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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
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χ135222-2-22-2-22000022-2-2-2-2222−2−200002222−2−2−2−2000000000000002i−2i−i2−i2i2i20000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3−1−i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13000000000000002ζ22−2ζ22ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3−1+i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23000000000000002ζ14−2ζ14ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000
χ136222-2-22-2-22000022-2-2-2-2222−2−200002222−2−2−2−200000000000000−2i2ii2i2−i2−i20000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3−1−i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ1300000000000000−2ζ222ζ22−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3−1+i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ2300000000000000−2ζ142ζ14−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000
χ137222-2-22-2-22000022-2-2-2-22−2−2220000−2−2−2−22222000000000000002i−2ii2i2−i2−i20000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3−1−i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13000000000000002ζ22−2ζ22−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3−1+i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23000000000000002ζ14−2ζ14−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000
χ138222-2-22-2-22000022-2-2-2-22−2−2220000−2−2−2−2222200000000000000−2i2i−i2−i2i2i20000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3−1−i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ1300000000000000−2ζ222ζ22ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3−1+i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ2300000000000000−2ζ142ζ14ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000
χ13922-22-2-22-222-22-22-22-2-22-200002-2-220000000000000000000000000000002i−2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30000000000000000000000000000002ζ22−2ζ22−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30000000000000000000000000000002ζ14−2ζ14
χ14022-22-2-22-222-22-22-22-2-22-200002-2-22000000000000000000000000000000−2i2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000000000000000000000000000000−2ζ222ζ22−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000000000000000000000000000000−2ζ142ζ14
χ14122-22-2-22-22-22-222-22-2-22-20000-222-200000000002i−2i00002i2i−2i−2i000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300000000002ζ22−2ζ2200002ζ222ζ22−2ζ22−2ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300000000002ζ14−2ζ1400002ζ142ζ14−2ζ14−2ζ14000000000000
χ14222-22-2-22-22-22-222-22-2-22-20000-222-20000000000−2i2i0000−2i−2i2i2i000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000000−2ζ222ζ220000−2ζ22−2ζ222ζ222ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000000−2ζ142ζ140000−2ζ14−2ζ142ζ142ζ14000000000000
χ14322-22-2-22-2-1-22-22-11-111-1100001-1-1133−3−333−3−3002i−2i−i3−i3i3i3−i−iii000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i321+i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ22−2ζ22−3+i32−3+i323−i323−i32−ζ22−ζ22ζ22ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i321−i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14−2ζ143+i323+i32−3−i32−3−i32−ζ14−ζ14ζ14ζ14000000000000
χ14422-22-2-22-2-1-22-22-11-111-1100001-1-1133−3−333−3−300−2i2ii3i3−i3−i3ii−i−i000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i321+i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ222ζ223−i323−i32−3+i32−3+i32ζ22ζ22−ζ22−ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i321−i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−2ζ142ζ14−3−i32−3−i323+i323+i32ζ14ζ14−ζ14−ζ14000000000000
χ14522-22-2-22-2-1-22-22-11-111-1100001-1-11−3−333−3−333002i−2ii3i3−i3−i3−i−iii000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i321+i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ22−2ζ223−i323−i32−3+i32−3+i32−ζ22−ζ22ζ22ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i321−i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22002ζ14−2ζ14−3−i32−3−i323+i323+i32−ζ14−ζ14ζ14ζ14000000000000
χ14622-22-2-22-2-1-22-22-11-111-1100001-1-11−3−333−3−33300−2i2i−i3−i3i3i3ii−i−i000000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i320000−1−i321+i321+i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ222ζ22−3+i32−3+i323−i323−i32ζ22ζ22−ζ22−ζ22000000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i320000−1+i321−i321−i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ142ζ143+i323+i32−3−i32−3−i32ζ14ζ14−ζ14−ζ14000000000000
χ1472-22-2-2-22222-2-22-22-22-22-2000022-2-2000000002-2002-22-20000000000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300000000−1−i31+i300−1−i31+i3−1−i31+i30000000000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300000000−1+i31−i300−1+i31−i3−1+i31−i30000000000000000
χ1482-22-2-2-22222-2-22-22-22-22-2000022-2-200000000-2200-22-220000000000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i3000000001+i3−1−i3001+i3−1−i31+i3−1−i30000000000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i3000000001−i3−1+i3001−i3−1+i31−i3−1+i30000000000000000
χ1492-22-2-2-2222-222-2-22-22-22-20000-2-22200000000000000000000000000002-200−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i30000000000000000000000000000−1−i31+i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i30000000000000000000000000000−1+i31−i300
χ1502-22-2-2-2222-222-2-22-22-22-20000-2-2220000000000000000000000000000-2200−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i300000000000000000000000000001+i3−1−i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i300000000000000000000000000001−i3−1+i300
χ1512-22-2-2-222-12-2-221-11-11-110000-1-1113−33−33−33−32-200-11-113−33−3000000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200001+i321+i32−1−i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−1−i31+i3001+i32−1−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200001−i321−i32−1+i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−1+i31−i3001−i32−1+i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
χ1522-22-2-2-222-12-2-221-11-11-110000-1-1113−33−33−33−3-22001-11-1−33−33000000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200001+i321+i32−1−i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i3−1−i300−1−i321+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200001−i321−i32−1+i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i3−1+i300−1+i321−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
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χ1764-4444-4-4-4-200002-2-22-22200000000−66−666−66−6000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i31+i30000−1−i31+i31+i3−1−i31+i3−1−i3−1−i3000000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i31−i30000−1+i31−i31−i3−1+i31−i3−1+i3−1+i300000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000000000000000
χ1774-44-4-4-444-2-444-42-22-22-22000022-2-200000000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i300000000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i300000000000000000000000000000000
χ1784-4-44-44-44-2000022-2-222-222−2222−220000−222−22−2−22000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ130000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i32ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ230000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000000000000000000000
χ1794-4-44-44-44-2000022-2-222-2−2222−222200002−2−22−222−2000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i32ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ130000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ230000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000000000000000000000
χ1804-4-4-4444-4-244-4-42222-2-2-20000-22-2200000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i31+i3−2−2i3−2−2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300001+i3−1−i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i31−i3−2+2i3−2+2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300001−i3−1+i31−i3−1+i300000000000000000000000000000000

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