Finite Group Databasebeta

← Group #13132394

Character table — Group #13132394

Order 1680.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1144555555667777777777242428282828282828282828303030303030353535353535353535353535353535353535353535353535353535353535
order125104488887143344661212121235701515202030306060606028285656565622666688881212121224242424242424242424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111111-1-11+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ5111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ6111111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111111-1-11−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ7111111-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ10111111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1-1-1-1-1-11+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ11111111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ12111111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211-1-1-1-1-1-11−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1ii−i−i111111111111111111111111-1-1ii−i−i-1-1-1-1-1-1ii−i−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ141111-1-1ii−i−i1111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1ii−i−i111111−i−iii-1-1-1-1ii−i−iii−i−i−i−iii−i−iii
χ151111-1-1ii−i−i11−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1ii−i−i-1-11+i321+i321−i321−i32ii−i−i1+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ161111-1-1ii−i−i11−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1ii−i−i11−1−i32−1−i32−1+i32−1+i32−i−iii1+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ171111-1-1ii−i−i11−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1ii−i−i-1-11−i321−i321+i321+i32ii−i−i1−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ181111-1-1ii−i−i11−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1ii−i−i11−1+i32−1+i32−1−i32−1−i32−i−iii1−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ191111-1-1−i−iii111111111111111111111111-1-1−i−iii-1-1-1-1-1-1−i−iii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ201111-1-1−i−iii1111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1−i−iii111111ii−i−i-1-1-1-1−i−iii−i−iiiii−i−iii−i−i
χ211111-1-1−i−iii11−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1−i−iii-1-11+i321+i321−i321−i32−i−iii1+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ221111-1-1−i−iii11−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1−i−iii11−1−i32−1−i32−1+i32−1+i32ii−i−i1+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ231111-1-1−i−iii11−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1−i−iii-1-11−i321−i321+i321+i32−i−iii1−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ241111-1-1−i−iii11−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1−i−iii11−1+i32−1+i32−1−i32−1−i32ii−i−i1−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ251-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-111i−i-1-1i−ii−i1-111i−i-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-11-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ261-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-111−ii-1-1−ii−ii1-111−ii-1-1−ii−iii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ271-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1−i321+i32−1+i321−i32−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ22−ζ22ζ14−ζ14−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23
χ281-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-111+i32−1−i321−i32−1+i32ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ22−ζ22ζ14−ζ14−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23
χ291-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1+i321−i32−1−i321+i32−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ14−ζ14ζ22−ζ22−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7
χ301-11-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-111−i32−1+i321+i32−1−i32ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ14−ζ14ζ22−ζ22−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7
χ311-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-111i−i-1-1i−ii−i1-111i−i-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-11-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ321-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-111−ii-1-1−ii−ii1-111−ii-1-1−ii−iii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ331-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1−i321+i32−1+i321−i32ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ22−ζ22ζ14−ζ14ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23
χ341-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-111+i32−1−i321−i32−1+i32−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ22−ζ22ζ14−ζ14ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23
χ351-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1+i321−i32−1−i321+i32ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ14−ζ14ζ22−ζ22ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7
χ361-11-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-111−i32−1+i321+i32−1−i32−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ14−ζ14ζ22−ζ22ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7
χ371-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-111i−i-1-1i−ii−i1-111i−i-1-1i−ii−i−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ381-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-111−ii-1-1−ii−ii1-111−ii-1-1−ii−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-11-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ391-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-111+i32−1−i321−i32−1+i32−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ22ζ22−ζ14ζ14ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
χ401-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1−i321+i32−1+i321−i32ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ22ζ22−ζ14ζ14ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ411-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-111−i32−1+i321+i32−1−i32−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ14ζ14−ζ22ζ22ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
χ421-11-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−1+i321−i32−1−i321+i32ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ14ζ14−ζ22ζ22ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13
χ431-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-111i−i-1-1i−ii−i1-111i−i-1-1i−ii−i−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ441-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-111−ii-1-1−ii−ii1-111−ii-1-1−ii−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-11-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ451-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-111+i32−1−i321−i32−1+i32ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ22ζ22−ζ14ζ14−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ461-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1−i321+i32−1+i321−i32−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ22ζ22−ζ14ζ14−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
χ471-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-111−i32−1+i321+i32−1−i32ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ14ζ14−ζ22ζ22−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13
χ481-11-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−1+i321−i32−1−i321+i32−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ14ζ14−ζ22ζ22−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
χ4944-1-1000000444444444444-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5044-1-10000004444-4-444-4-4-4-4-1-1-1-111-1-11111000000000000000000000000000000000000
χ5144-1-100000044−2−2i3−2+2i344−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i3-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32000000000000000000000000000000000000
χ5244-1-100000044−2−2i3−2+2i3-4-4−2−2i3−2+2i32+2i32+2i32−2i32−2i3-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000
χ5344-1-100000044−2+2i3−2−2i344−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i3-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32000000000000000000000000000000000000
χ5444-1-100000044−2+2i3−2−2i3-4-4−2+2i3−2−2i32−2i32−2i32+2i32+2i3-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32000000000000000000000000000000000000
χ554-4-110000004-4444i−4i-4-44i−4i4i−4i-11-1-1−ii11−ii−ii000000000000000000000000000000000000
χ564-4-110000004-444−4i4i-4-4−4i4i−4i4i-11-1-1i−i11i−ii−i000000000000000000000000000000000000
χ574-4-110000004-4−2−2i3−2+2i34i−4i2+2i32−2i34ζ22−4ζ224ζ14−4ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14000000000000000000000000000000000000
χ584-4-110000004-4−2−2i3−2+2i3−4i4i2+2i32−2i3−4ζ224ζ22−4ζ144ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14000000000000000000000000000000000000
χ594-4-110000004-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ14−4ζ144ζ22−4ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22000000000000000000000000000000000000
χ604-4-110000004-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ144ζ14−4ζ224ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22000000000000000000000000000000000000
χ616666666666-1-10000000000-1-10000000000-1-1-1-1-1-1000000000000000000000000000000
χ62666666-6-6-6-6-1-10000000000-1-10000000000-1-11111000000000000000000000000000000
χ636666-6-66i6i−6i−6i-1-10000000000-1-1000000000011−i−iii000000000000000000000000000000
χ646666-6-6−6i−6i6i6i-1-10000000000-1-1000000000011ii−i−i000000000000000000000000000000
χ656-66-66i−6i6ζ7+6ζ23−6ζ7−6ζ23−6ζ5−6ζ136ζ5+6ζ13-110000000000-110000000000−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000000000000000000000000000
χ666-66-66i−6i−6ζ7−6ζ236ζ7+6ζ236ζ5+6ζ13−6ζ5−6ζ13-110000000000-110000000000−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000000000000000000000000000
χ676-66-6−6i6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ23-110000000000-110000000000i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000000000000000000000000000
χ686-66-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ23-110000000000-110000000000i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000000000000000000000000000
χ692424-6-6000000-4-40000000000110000000000000000000000000000000000000000000000
χ7024-24-66000000-4400000000001-10000000000000000000000000000000000000000000000

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