Finite Group Databasebeta

← Group #13136825

Character table — Group #13136825

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111333333666666666666161616161616161616161616222222666666121212121212121212121212323232323232323232323232333333999999181818181818181818181818484848484848484848484848
order1233662266664444121212121212121299999918181818181836336666666612121212121212121212121299999918181818181822666622666644441212121212121212181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411−1−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+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ3411−1−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+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ3411−1−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+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ511−1−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−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ3411−1−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−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ3411−1−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−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ611−1−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−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ2211−1−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−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ2211−1−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−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ711−1+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−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ1411−1+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−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ1411−1+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−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ811−1+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−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ2611−1+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−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ2611−1+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−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ911−1+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−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ2611−1+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−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ2611−1+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−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ102-222-2-22-222-2-2000000000000-1-1-1-1-1-11111112-222-2-22-222-2-2000000000000-1-1-1-1-1-11111112-222-2-22-222-2-2000000000000-1-1-1-1-1-1111111
χ112-222-2-22-222-2-20000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i322-222-2-22-222-2-20000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i322-222-2-22-222-2-20000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ122-222-2-22-222-2-20000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i322-222-2-22-222-2-20000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i322-222-2-22-222-2-20000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ132-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ342-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ342-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ142-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ342-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ342-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ152-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ222-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ222-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i3000000000000ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ162-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ142-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ142-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ172-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ262-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ262-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ182-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ262-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ262-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i3000000000000ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ19333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20333333-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000333333-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000333333-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000
χ21333333-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000333333-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000333333-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000
χ22333333-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000333333-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000333333-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000
χ23333333-1-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11000000000000333333-1-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11000000000000333333-1-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11000000000000
χ2433−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ2533−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1+2i−1−2i−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ3000000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1+2i−1−2i−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ3000000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1+2i−1−2i−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ2633−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1−2i−1+2i−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ3000000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1−2i−1+2i−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ3000000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1−2i−1+2i−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ2733−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1+2i−1−2i11ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1+2i−1−2i11ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1+2i−1−2i11ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ2833−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1−2i−1+2i11ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1−2i−1+2i11ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32−1−2i−1+2i11ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ2933−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ3033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1+2i−1−2i−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ1500000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1+2i−1−2i−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ1500000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1+2i−1−2i−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000000000
χ3133−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1−2i−1+2i−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ1500000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1−2i−1+2i−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ1500000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3211−1−2i−1+2i−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15000000000000
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χ3333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32−1−2i−1+2i112ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32−1−2i−1+2i112ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32−1−2i−1+2i112ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32000000000000
χ346-666-6-6-22-2-2220000000000000000000000006-666-6-6-22-2-2220000000000000000000000006-666-6-6-22-2-222000000000000000000000000
χ356-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i30000000000000000000000006-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i30000000000000000000000006-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i3000000000000000000000000
χ366-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i30000000000000000000000006-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i30000000000000000000000006-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i3000000000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ39111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ4011−1−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+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ3411−1−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+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
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χ56333333-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000333333-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000-3-3-3-3-3-3111111-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i000000000000
χ57333333-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000333333-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000-3-3-3-3-3-3111111-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i000000000000
χ58333333-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000333333-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000-3-3-3-3-3-31111111−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-1000000000000
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χ6133−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1+2i−1−2i−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ3000000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3211−1+2i−1−2i−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i32-1-11−2i1+2i1+i321+i32−ζ6+2ζ15−ζ6−2ζ151−i321−i322ζ3−ζ30−2ζ3−ζ30000000000000
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χ10566−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3−2−4i−2+4i224ζ3+2ζ30−4ζ3+2ζ30−1+i3−1+i32ζ6+4ζ152ζ6−4ζ15−1−i3−1−i3000000000000-3-33−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i321+2i1−2i-1-1−2ζ3−ζ302ζ3−ζ301−i321−i32−ζ6−2ζ15−ζ6+2ζ151+i321+i32000000000000000000000000000000000000000000000000
χ10612-121212-12-12-44-4-444000000000000000000000000-66-6-6662-222-2-2000000000000000000000000000000000000000000000000000000000000
χ10712-12−6−6i3−6+6i36+6i36−6i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000-663+3i33−3i3−3−3i3−3+3i32-2−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000000000000000000000
χ10812-12−6+6i3−6−6i36−6i36+6i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000-663−3i33+3i3−3+3i3−3−3i32-2−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.