Finite Group Databasebeta

← Group #72220406

Character table — Group #72220406

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size18912122424363654189121224243636541891212242436365418912122424363654216182424484872721082161824244848727210821618242448487272108216182424484872721082161824244848727210821618242448487272108
order13233336642626666664262666666426266666642626666664262666666441241212121212124412412121212121244124121212121212441241212121212124
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321
χ3111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321
χ422-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-1110
χ522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320
χ622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320
χ7333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1
χ88-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-1000
χ98-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000
χ108-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000
χ11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ12111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1
χ13111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1
χ1422-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-10-2-221111-1-10-2-221111-1-10
χ1522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320
χ1622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320
χ17333000000-1333000000-1333000000-1333000000-1333000000-1333000000-1-3-3-30000001-3-3-30000001-3-3-30000001-3-3-30000001
χ188-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-1000-810-2-211000-810-2-211000-810-2-211000-810-2-211000
χ198-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000
χ208-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1
χ23111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1
χ2422-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-1022-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-10
χ2522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320
χ2622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320
χ27333000000-1333000000-1333000000-1333000000-1-3-3-30000001-3-3-30000001333000000-1333000000-1-3-3-30000001-3-3-30000001
χ288-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-1000-810-2-211000-810-2-2110008-1022-1-10008-1022-1-1000-810-2-211000-810-2-211000
χ298-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000
χ308-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321
χ33111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321
χ3422-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-10-2-221111-1-10-2-221111-1-1022-2-1-1-1-111022-2-1-1-1-1110
χ3522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320
χ3622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320
χ37333000000-1333000000-1333000000-1333000000-1-3-3-30000001-3-3-30000001-3-3-30000001-3-3-30000001333000000-1333000000-1
χ388-1022-1-10008-1022-1-10008-1022-1-10008-1022-1-1000-810-2-211000-810-2-211000-810-2-211000-810-2-2110008-1022-1-10008-1022-1-1000
χ398-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000
χ408-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ42111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1iiiζ7ζ11ζ7ζ11ζ7ζ11i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−iiiiζ7ζ11ζ7ζ11ζ7ζ11i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−i
χ43111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1iiiζ11ζ7ζ11ζ7ζ11ζ7i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−iiiiζ11ζ7ζ11ζ7ζ11ζ7i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−i
χ4422-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-1022-2-1-1-1-1110-2-221111-1-102i2i−2i−i−i−i−iii0−2i−2i2iiiii−i−i02i2i−2i−i−i−i−iii0−2i−2i2iiiii−i−i0
χ4522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i3202i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ110
χ4622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i3202i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ70
χ47333000000-1333000000-1-3-3-30000001-3-3-30000001333000000-1-3-3-300000013i3i3i000000−i−3i−3i−3i000000i3i3i3i000000−i−3i−3i−3i000000i
χ488-1022-1-10008-1022-1-1000-810-2-211000-810-2-2110008-1022-1-1000-810-2-2110008i−i02i2i−i−i000−8ii0−2i−2iii0008i−i02i2i−i−i000−8ii0−2i−2iii000
χ498-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i320008i−i02ζ72ζ11−ζ7−ζ11000−8ii0−2ζ7−2ζ11ζ7ζ110008i−i02ζ72ζ11−ζ7−ζ11000−8ii0−2ζ7−2ζ11ζ7ζ11000
χ508-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i320008i−i02ζ112ζ7−ζ11−ζ7000−8ii0−2ζ11−2ζ7ζ11ζ70008i−i02ζ112ζ7−ζ11−ζ7000−8ii0−2ζ11−2ζ7ζ11ζ7000
χ5111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ52111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−iiiiζ7ζ11ζ7ζ11ζ7ζ11i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−iiiiζ7ζ11ζ7ζ11ζ7ζ11i
χ53111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−iiiiζ11ζ7ζ11ζ7ζ11ζ7i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−iiiiζ11ζ7ζ11ζ7ζ11ζ7i
χ5422-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-1022-2-1-1-1-1110-2-221111-1-10−2i−2i2iiiii−i−i02i2i−2i−i−i−i−iii0−2i−2i2iiiii−i−i02i2i−2i−i−i−i−iii0
χ5522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110
χ5622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70
χ57333000000-1333000000-1-3-3-30000001-3-3-30000001333000000-1-3-3-30000001−3i−3i−3i000000i3i3i3i000000−i−3i−3i−3i000000i3i3i3i000000−i
χ588-1022-1-10008-1022-1-1000-810-2-211000-810-2-2110008-1022-1-1000-810-2-211000−8ii0−2i−2iii0008i−i02i2i−i−i000−8ii0−2i−2iii0008i−i02i2i−i−i000
χ598-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000−8ii0−2ζ7−2ζ11ζ7ζ110008i−i02ζ72ζ11−ζ7−ζ11000−8ii0−2ζ7−2ζ11ζ7ζ110008i−i02ζ72ζ11−ζ7−ζ11000
χ608-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000−8ii0−2ζ11−2ζ7ζ11ζ70008i−i02ζ112ζ7−ζ11−ζ7000−8ii0−2ζ11−2ζ7ζ11ζ70008i−i02ζ112ζ7−ζ11−ζ7000
χ6111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ62111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321iiiζ7ζ11ζ7ζ11ζ7ζ11i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−iiiiζ7ζ11ζ7ζ11ζ7ζ11i
χ63111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321iiiζ11ζ7ζ11ζ7ζ11ζ7i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−iiiiζ11ζ7ζ11ζ7ζ11ζ7i
χ6422-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-10-2-221111-1-1022-2-1-1-1-11102i2i−2i−i−i−i−iii0−2i−2i2iiiii−i−i0−2i−2i2iiiii−i−i02i2i−2i−i−i−i−iii0
χ6522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i3202i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110
χ6622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i3202i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70
χ67333000000-1333000000-1-3-3-30000001-3-3-30000001-3-3-30000001333000000-13i3i3i000000−i−3i−3i−3i000000i−3i−3i−3i000000i3i3i3i000000−i
χ688-1022-1-10008-1022-1-1000-810-2-211000-810-2-211000-810-2-2110008-1022-1-10008i−i02i2i−i−i000−8ii0−2i−2iii000−8ii0−2i−2iii0008i−i02i2i−i−i000
χ698-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i320008i−i02ζ72ζ11−ζ7−ζ11000−8ii0−2ζ7−2ζ11ζ7ζ11000−8ii0−2ζ7−2ζ11ζ7ζ110008i−i02ζ72ζ11−ζ7−ζ11000
χ708-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i320008i−i02ζ112ζ7−ζ11−ζ7000−8ii0−2ζ11−2ζ7ζ11ζ7000−8ii0−2ζ11−2ζ7ζ11ζ70008i−i02ζ112ζ7−ζ11−ζ7000
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ72111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i32-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−iiiiζ7ζ11ζ7ζ11ζ7ζ11iiiiζ7ζ11ζ7ζ11ζ7ζ11i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−i
χ73111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i32-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−iiiiζ11ζ7ζ11ζ7ζ11ζ7iiiiζ11ζ7ζ11ζ7ζ11ζ7i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−i
χ7422-2-1-1-1-111022-2-1-1-1-1110-2-221111-1-10-2-221111-1-10-2-221111-1-1022-2-1-1-1-1110−2i−2i2iiiii−i−i02i2i−2i−i−i−i−iii02i2i−2i−i−i−i−iii0−2i−2i2iiiii−i−i0
χ7522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i320-2-22−1+i32−1−i32−1+i32−1−i321−i321+i32022-21−i321+i321−i321+i32−1+i32−1−i320−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ1102i2i−2i−ζ7−ζ11−ζ7−ζ11ζ7ζ110−2i−2i2iζ7ζ11ζ7ζ11−ζ7−ζ110
χ7622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i320-2-22−1−i32−1+i32−1−i32−1+i321+i321−i32022-21+i321−i321+i321−i32−1−i32−1+i320−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ702i2i−2i−ζ11−ζ7−ζ11−ζ7ζ11ζ70−2i−2i2iζ11ζ7ζ11ζ7−ζ11−ζ70
χ77333000000-1333000000-1-3-3-30000001-3-3-30000001-3-3-30000001333000000-1−3i−3i−3i000000i3i3i3i000000−i3i3i3i000000−i−3i−3i−3i000000i
χ788-1022-1-10008-1022-1-1000-810-2-211000-810-2-211000-810-2-2110008-1022-1-1000−8ii0−2i−2iii0008i−i02i2i−i−i0008i−i02i2i−i−i000−8ii0−2i−2iii000
χ798-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i32000-8101−i31+i3−1+i32−1−i320008-10−1+i3−1−i31−i321+i32000−8ii0−2ζ7−2ζ11ζ7ζ110008i−i02ζ72ζ11−ζ7−ζ110008i−i02ζ72ζ11−ζ7−ζ11000−8ii0−2ζ7−2ζ11ζ7ζ11000
χ808-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i32000-8101+i31−i3−1−i32−1+i320008-10−1−i3−1+i31+i321−i32000−8ii0−2ζ11−2ζ7ζ11ζ70008i−i02ζ112ζ7−ζ11−ζ70008i−i02ζ112ζ7−ζ11−ζ7000−8ii0−2ζ11−2ζ7ζ11ζ7000
χ812222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ82222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-2-2-21−i31+i31−i31+i31−i31+i3-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-2-2-21−i31+i31−i31+i31−i31+i3-2000000000000000000000000000000000000000000000000000000000000
χ83222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-2-21+i31−i31+i31−i31+i31−i3-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-2-21+i31−i31+i31−i31+i31−i3-2000000000000000000000000000000000000000000000000000000000000
χ8444-4-2-2-2-2220-4-442222-2-2044-4-2-2-2-2220-4-442222-2-20000000000000000000000000000000000000000000000000000000000000
χ8544-41−i31+i31−i31+i3−1+i3−1−i30-4-44−1+i3−1−i3−1+i3−1−i31−i31+i3044-41−i31+i31−i31+i3−1+i3−1−i30-4-44−1+i3−1−i3−1+i3−1−i31−i31+i30000000000000000000000000000000000000000000000000000000000000
χ8644-41+i31−i31+i31−i3−1−i3−1+i30-4-44−1−i3−1+i3−1−i3−1+i31+i31−i3044-41+i31−i31+i31−i3−1−i3−1+i30-4-44−1−i3−1+i3−1−i3−1+i31+i31−i30000000000000000000000000000000000000000000000000000000000000
χ87666000000-2-6-6-60000002666000000-2-6-6-60000002000000000000000000000000000000000000000000000000000000000000
χ8816-2044-2-2000-1620-4-42200016-2044-2-2000-1620-4-422000000000000000000000000000000000000000000000000000000000000000
χ8916-20−2+2i3−2−2i31−i31+i3000-16202−2i32+2i3−1+i3−1−i300016-20−2+2i3−2−2i31−i31+i3000-16202−2i32+2i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000000
χ9016-20−2−2i3−2+2i31+i31−i3000-16202+2i32−2i3−1−i3−1+i300016-20−2−2i3−2+2i31+i31−i3000-16202+2i32−2i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000000
χ912222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000000000000000000000000000000000
χ92222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-2-2-21−i31+i31−i31+i31−i31+i3-2-2-2-21−i31+i31−i31+i31−i31+i3-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32000000000000000000000000000000000000000000000000000000000000
χ93222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-2-21+i31−i31+i31−i31+i31−i3-2-2-2-21+i31−i31+i31−i31+i31−i3-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32000000000000000000000000000000000000000000000000000000000000
χ9444-4-2-2-2-2220-4-442222-2-20-4-442222-2-2044-4-2-2-2-2220000000000000000000000000000000000000000000000000000000000000
χ9544-41−i31+i31−i31+i3−1+i3−1−i30-4-44−1+i3−1−i3−1+i3−1−i31−i31+i30-4-44−1+i3−1−i3−1+i3−1−i31−i31+i3044-41−i31+i31−i31+i3−1+i3−1−i30000000000000000000000000000000000000000000000000000000000000
χ9644-41+i31−i31+i31−i3−1−i3−1+i30-4-44−1−i3−1+i3−1−i3−1+i31+i31−i30-4-44−1−i3−1+i3−1−i3−1+i31+i31−i3044-41+i31−i31+i31−i3−1−i3−1+i30000000000000000000000000000000000000000000000000000000000000
χ97666000000-2-6-6-60000002-6-6-60000002666000000-2000000000000000000000000000000000000000000000000000000000000
χ9816-2044-2-2000-1620-4-422000-1620-4-42200016-2044-2-2000000000000000000000000000000000000000000000000000000000000000
χ9916-20−2+2i3−2−2i31−i31+i3000-16202−2i32+2i3−1+i3−1−i3000-16202−2i32+2i3−1+i3−1−i300016-20−2+2i3−2−2i31−i31+i3000000000000000000000000000000000000000000000000000000000000000
χ10016-20−2−2i3−2+2i31+i31−i3000-16202+2i32−2i3−1−i3−1+i3000-16202+2i32−2i3−1−i3−1+i300016-20−2−2i3−2+2i31+i31−i3000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.