Finite Group Databasebeta

← Group #72246238

Character table — Group #72246238

Order 6048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size1144444444661616161616161616182424242433121212121212121218184848484848484848547272727233121212121212121218184848484848484848547272727277282828282828282842421121121121121121121121121261681681681687728282828282828284242112112112112112112112112126168168168168
order123333666644333366662121212127142121212142424242282821212121424242421484848484714212121214242424228282121212142424242148484848436333366661212333366666121212123633336666121233336666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32
χ31111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32
χ411−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211
χ511−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i32
χ611−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32
χ711−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211
χ811−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32
χ911−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i32
χ1033003300333-100000000-100-1-133003300333-100000000-100-1-133003300333-100000000-100-1-133003300333-100000000-100-1-133003300333-100000000-100-1-1
χ113300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i32
χ123300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i32
χ133333003300-1300000000-1-1-1003333003300-1300000000-1-1-1003333003300-1300000000-1-1-1003333003300-1300000000-1-1-1003333003300-1300000000-1-1-100
χ1433−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i3200
χ1533−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i3200
χ164-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-100000
χ174-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000
χ184-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200000
χ194-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000
χ204-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i3200000
χ214-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-100000
χ224-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000
χ234-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-100000
χ244-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i3200000
χ259900000000-3-300000000100009900000000-3-300000000100009900000000-3-300000000100009900000000-3-300000000100009900000000-3-30000000010000
χ26111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ271111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32
χ281111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321
χ2911−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i32
χ3011−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i3211−1+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1−i321−1−i321−1+i32−1+i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1−i32−1−i321−1+i321−1+i321−1+i321−1+i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32
χ3111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i3211−1−i32−1−i3211−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−1−i32−1−i32−1−i321−1+i32−1+i3211−1+i32−1+i321−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i321
χ3211−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−1−i32−1+i321−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32
χ3311−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i3211−1−i32−1−i321−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i321−1−i32−1−i32−1+i3211−1+i32−1+i3211−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211−1+i32
χ3411−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i3211−1−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−1−i32−1+i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1+i321−1−i321−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1+i321−1−i32−1−i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321
χ3533003300333-100000000-100-1-133003300333-100000000-100-1-133003300333-100000000-100-1-1−3+3i32−3+3i3200−3+3i32−3+3i3200−3+3i32−3+3i32−3+3i321−i32000000001−i32001−i321−i32−3−3i32−3−3i3200−3−3i32−3−3i3200−3−3i32−3−3i32−3−3i321+i32000000001+i32001+i321+i32
χ363300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i323300−3+3i32−3−3i3200−3+3i32−3−3i323-100000000-1001−i321+i32−3+3i32−3+3i3200−3−3i32300−3−3i323−3+3i321−i32000000001−i32001+i32-1−3−3i32−3−3i32003−3+3i32003−3+3i32−3−3i321+i32000000001+i3200-11−i32
χ373300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i323300−3−3i32−3+3i3200−3−3i32−3+3i323-100000000-1001+i321−i32−3+3i32−3+3i32003−3−3i32003−3−3i32−3+3i321−i32000000001−i3200-11+i32−3−3i32−3−3i3200−3+3i32300−3+3i323−3−3i321+i32000000001+i32001−i32-1
χ383333003300-1300000000-1-1-1003333003300-1300000000-1-1-1003333003300-1300000000-1-1-100−3+3i32−3+3i32−3+3i32−3+3i3200−3+3i32−3+3i32001−i32−3+3i32000000001−i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i3200−3−3i32−3−3i32001+i32−3−3i32000000001+i321+i321+i3200
χ3933−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i320033−3+3i32−3−3i3200−3+3i32−3−3i3200-1300000000-11−i321+i3200−3+3i32−3+3i32−3−3i32300−3−3i323001−i32−3+3i32000000001−i321+i32-100−3−3i32−3−3i323−3+3i32003−3+3i32001+i32−3−3i32000000001+i32-11−i3200
χ4033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i320033−3−3i32−3+3i3200−3−3i32−3+3i3200-1300000000-11+i321−i3200−3+3i32−3+3i323−3−3i32003−3−3i32001−i32−3+3i32000000001−i32-11+i3200−3−3i32−3−3i32−3+3i32300−3+3i323001+i32−3−3i32000000001+i321−i32-100
χ414-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-1000004-4-2-2-2-22222001111-1-1-1-100000−2+2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000−2−2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000
χ424-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000004-4-2-21−i31+i322−1+i3−1−i300−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000−2+2i32−2i31−i31−i31+i3-2−1+i3−1+i3−1−i3200−1−i32−1−i32111+i321+i32-1-100000−2−2i32+2i31+i31+i3-21−i3−1−i3−1−i32−1+i30011−1+i32−1+i32-1-11−i321−i3200000
χ434-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000004-4-2-21+i31−i322−1−i3−1+i300−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200000−2+2i32−2i31−i31−i3-21+i3−1+i3−1+i32−1−i30011−1−i32−1−i32-1-11+i321+i3200000−2−2i32+2i31+i31+i31−i3-2−1−i3−1−i3−1+i3200−1+i32−1+i32111−i321−i32-1-100000
χ444-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000004-41−i31+i3-2-2−1+i3−1−i32200−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000−2+2i32−2i31+i3-21−i31−i3−1−i32−1+i3−1+i300−1−i321−1−i3211+i32-11+i32-100000−2−2i32+2i3-21−i31+i31+i32−1+i3−1−i3−1−i3001−1+i321−1+i32-11−i32-11−i3200000
χ454-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i32000004-41−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−1−i3211−1+i321+i32-1-11−i3200000−2+2i32−2i31+i3-21+i3-2−1−i32−1−i32001−1+i32−1+i32−1−i32-11−i321−i321+i3200000−2−2i32+2i3-21−i3-21−i32−1+i32−1+i300−1+i32−1−i32−1−i3211−i321+i321+i32-100000
χ464-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-1000004-41−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3001−1+i32−1−i321-11−i321+i32-100000−2+2i32−2i31+i3-2-21+i3−1−i322−1−i300−1+i32−1−i321−1+i321−i321+i32-11−i3200000−2−2i32+2i3-21−i31−i3-22−1+i3−1+i3200−1−i321−1+i32−1−i321+i32-11−i321+i3200000
χ474-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000004-41+i31−i3-2-2−1−i3−1+i32200−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000−2+2i32−2i3-21+i31−i31−i32−1−i3−1+i3−1+i3001−1−i321−1−i32-11+i32-11+i3200000−2−2i32+2i31−i3-21+i31+i3−1+i32−1−i3−1−i300−1+i321−1+i3211−i32-11−i32-100000
χ484-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-1000004-41+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3001−1−i32−1+i321-11+i321−i32-100000−2+2i32−2i3-21+i31+i3-22−1−i3−1−i3200−1+i321−1−i32−1+i321−i32-11+i321−i3200000−2−2i32+2i31−i3-2-21−i3−1+i322−1+i300−1−i32−1+i321−1−i321+i321−i32-11+i3200000
χ494-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i32000004-41+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−1+i3211−1−i321−i32-1-11+i3200000−2+2i32−2i3-21+i3-21+i32−1−i32−1−i300−1−i32−1+i32−1+i3211+i321−i321−i32-100000−2−2i32+2i31−i3-21−i3-2−1+i32−1+i32001−1−i32−1−i32−1+i32-11+i321+i321−i3200000
χ509900000000-3-300000000100009900000000-3-300000000100009900000000-3-30000000010000−9+9i32−9+9i32000000003−3i323−3i3200000000−1+i320000−9−9i32−9−9i32000000003+3i323+3i3200000000−1−i320000
χ51111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ521111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321
χ531111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32
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χ12212-123+3i33−3i3-6-6−3−3i3−3+3i36600−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000−2+2i72−2i7−2ζ5−2ζ17−2ζ20−2ζ10−2ζ13−2ζ191−i71−i72ζ5+2ζ17+2ζ202ζ10+2ζ13+2ζ19−1+i7−1+i700ζ5+ζ17+ζ20ζ10+ζ13+ζ19ζ5+ζ17+ζ20ζ10+ζ13+ζ19−ζ5−ζ17−ζ20−ζ10−ζ13−ζ19−ζ5−ζ17−ζ20−ζ10−ζ13−ζ1900000−2−2i72+2i7−2ζ2−2ζ8−2ζ11−2ζ−2ζ4−2ζ161+i71+i72ζ2+2ζ8+2ζ112ζ+2ζ4+2ζ16−1−i7−1−i700ζ2+ζ8+ζ11ζ+ζ4+ζ16ζ2+ζ8+ζ11ζ+ζ4+ζ16−ζ2−ζ8−ζ11−ζ−ζ4−ζ16−ζ2−ζ8−ζ11−ζ−ζ4−ζ160000000000000000000000000000000000000000000000000000000
χ12312-123+3i33−3i33−3i33+3i3−3−3i3−3+3i3−3+3i3−3−3i3003−3−3i32−3+3i323-33+3i323−3i32-300000−2+2i72−2i7−2ζ5−2ζ17−2ζ20−2ζ10−2ζ13−2ζ19−2ζ10−2ζ13−2ζ19−2ζ5−2ζ17−2ζ202ζ5+2ζ17+2ζ202ζ10+2ζ13+2ζ192ζ10+2ζ13+2ζ192ζ5+2ζ17+2ζ2000−1+i72ζ5+ζ17+ζ20ζ10+ζ13+ζ19−1+i721−i72−ζ5−ζ17−ζ20−ζ10−ζ13−ζ191−i7200000−2−2i72+2i7−2ζ2−2ζ8−2ζ11−2ζ−2ζ4−2ζ16−2ζ−2ζ4−2ζ16−2ζ2−2ζ8−2ζ112ζ2+2ζ8+2ζ112ζ+2ζ4+2ζ162ζ+2ζ4+2ζ162ζ2+2ζ8+2ζ1100−1−i72ζ2+ζ8+ζ11ζ+ζ4+ζ16−1−i721+i72−ζ2−ζ8−ζ11−ζ−ζ4−ζ161+i720000000000000000000000000000000000000000000000000000000
χ12412-123+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i300−3+3i3233−3−3i323−3i32-3-33+3i3200000−2+2i72−2i7−2ζ5−2ζ17−2ζ20−2ζ10−2ζ13−2ζ19−2ζ5−2ζ17−2ζ20−2ζ10−2ζ13−2ζ192ζ5+2ζ17+2ζ202ζ10+2ζ13+2ζ192ζ5+2ζ17+2ζ202ζ10+2ζ13+2ζ1900ζ10+ζ13+ζ19−1+i72−1+i72ζ5+ζ17+ζ20−ζ10−ζ13−ζ191−i721−i72−ζ5−ζ17−ζ2000000−2−2i72+2i7−2ζ2−2ζ8−2ζ11−2ζ−2ζ4−2ζ16−2ζ2−2ζ8−2ζ11−2ζ−2ζ4−2ζ162ζ2+2ζ8+2ζ112ζ+2ζ4+2ζ162ζ2+2ζ8+2ζ112ζ+2ζ4+2ζ1600ζ+ζ4+ζ16−1−i72−1−i72ζ2+ζ8+ζ11−ζ−ζ4−ζ161+i721+i72−ζ2−ζ8−ζ110000000000000000000000000000000000000000000000000000000
χ125272700000000-9-90000000030000−9+9i72−9+9i72000000003−3i723−3i7200000000−1+i720000−9−9i72−9−9i72000000003+3i723+3i7200000000−1−i72000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 21 (ζ21 = 1); i = ζ5.