Finite Group Databasebeta

← Group #72247361

Character table — Group #72247361

Order 2160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11223333666666999999448812121212242424242424363636363636551010151515153030303030304545454545455510101515151530303030303045454545454555101015151515303030303030454545454545
order123633669991818184412121212510153015153030454545909090202060606060226666661818181818184412121212441212121212123636363636364412121212441212121212123636363636364412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ41111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32
χ51111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ61111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32
χ71-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i
χ81-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii
χ91-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7
χ101-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11
χ121-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ1322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000
χ142222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000
χ152222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32000000
χ162-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000
χ172-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32000000
χ182-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32000000
χ1966-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-30000000000000000
χ206-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-330000000000000000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32
χ241111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ251111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32
χ261111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32
χ271-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i-11-11-1-111-1-1-1111−ii−ii−ii-11-11-1-111-1-1-1111−ii−ii−ii
χ281-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−i-11-11-1-111-1-1-1111i−ii−ii−i
χ291-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7
χ301-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7
χ311-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ321-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ3322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2111111000000-2-2-2-2-2-2-2-2111111000000
χ342222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32000000
χ352222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32000000
χ362-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000-22-22-2-222111-1-1-1000000-22-22-2-222111-1-1-1000000
χ372-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32000000
χ382-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32000000
χ3966-3-3000000000000000066-3-3000000000000000066-3-30000000000000000-6-6330000000000000000-6-6330000000000000000
χ406-6-3300000000000000006-6-3300000000000000006-6-330000000000000000-663-30000000000000000-663-30000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ4211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ431111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32iiiiζ11ζ7ζ11ζ7iζ11ζ7iζ11ζ7iiζ11ζ11ζ7ζ7−i−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ7−ζ7
χ441111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32iiiiζ11ζ7ζ11ζ7iζ11ζ7iζ11ζ7−i−i−ζ11−ζ11−ζ7−ζ7−i−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7iiζ11ζ11ζ7ζ7
χ451111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32iiiiζ7ζ11ζ7ζ11iζ7ζ11iζ7ζ11iiζ7ζ7ζ11ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ11−ζ11
χ461111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32iiiiζ7ζ11ζ7ζ11iζ7ζ11iζ7ζ11−i−i−ζ7−ζ7−ζ11−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11iiζ7ζ7ζ11ζ11
χ471-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i-11-11-1-111-1-1-1111−ii−ii−iii−ii−iii−i−iiii−i−i−i-11-11-11−ii−ii−i−iii−i−i−iiii1-11-11-1
χ481-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−ii−ii−iii−i−iiii−i−i−i1-11-11-1−ii−ii−i−iii−i−i−iiii-11-11-11
χ491-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−ii−iζ11ζ7−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7-111+i32−1−i321−i32−1+i32−ii−ii−ζ11−ζ7ζ11ζ7−i−ζ11−ζ7iζ11ζ71-1−1−i321+i32−1+i321−i32
χ501-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7i−ii−iζ11ζ7−ζ11−ζ7iζ11ζ7−i−ζ11−ζ71-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ7ζ11ζ7−i−ζ11−ζ7iζ11ζ7-111+i32−1−i321−i32−1+i32
χ511-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−ii−iζ7ζ11−ζ7−ζ11iζ7ζ11−i−ζ7−ζ11-111−i32−1+i321+i32−1−i32−ii−ii−ζ7−ζ11ζ7ζ11−i−ζ7−ζ11iζ7ζ111-1−1+i321−i32−1−i321+i32
χ521-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11i−ii−iζ7ζ11−ζ7−ζ11iζ7ζ11−i−ζ7−ζ111-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ11ζ7ζ11−i−ζ7−ζ11iζ7ζ11-111−i32−1+i321+i32−1−i32
χ5322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-21111110000002i2i2i2i2i2i2i2i−i−i−i−i−i−i000000−2i−2i−2i−2i−2i−2i−2i−2iiiiiii000000
χ542222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i320000002i2i2i2i2ζ112ζ72ζ112ζ7−i−ζ11−ζ7−i−ζ11−ζ7000000−2i−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7iζ11ζ7iζ11ζ7000000
χ552222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i320000002i2i2i2i2ζ72ζ112ζ72ζ11−i−ζ7−ζ11−i−ζ7−ζ11000000−2i−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11iζ7ζ11iζ7ζ11000000
χ562-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000-22-22-2-222111-1-1-10000002i−2i2i−2i2i2i−2i−2i−i−i−iiii000000−2i2i−2i2i−2i−2i2i2iiii−i−i−i000000
χ572-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i320000002i−2i2i−2i2ζ112ζ7−2ζ11−2ζ7−i−ζ11−ζ7iζ11ζ7000000−2i2i−2i2i−2ζ11−2ζ72ζ112ζ7iζ11ζ7−i−ζ11−ζ7000000
χ582-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i320000002i−2i2i−2i2ζ72ζ11−2ζ7−2ζ11−i−ζ7−ζ11iζ7ζ11000000−2i2i−2i2i−2ζ7−2ζ112ζ72ζ11iζ7ζ11−i−ζ7−ζ11000000
χ5966-3-3000000000000000066-3-30000000000000000-6-63300000000000000006i6i−3i−3i0000000000000000−6i−6i3i3i0000000000000000
χ606-6-3300000000000000006-6-330000000000000000-663-300000000000000006i−6i−3i3i0000000000000000−6i6i3i−3i0000000000000000
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii
χ6211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ631111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−i−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ7−ζ7iiiiζ11ζ7ζ11ζ7iζ11ζ7iζ11ζ7iiζ11ζ11ζ7ζ7
χ641111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−i−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7iiζ11ζ11ζ7ζ7iiiiζ11ζ7ζ11ζ7iζ11ζ7iζ11ζ7−i−i−ζ11−ζ11−ζ7−ζ7
χ651111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ11−ζ11iiiiζ7ζ11ζ7ζ11iζ7ζ11iζ7ζ11iiζ7ζ7ζ11ζ11
χ661111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11iiζ7ζ7ζ11ζ11iiiiζ7ζ11ζ7ζ11iζ7ζ11iζ7ζ11−i−i−ζ7−ζ7−ζ11−ζ11
χ671-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i-11-11-1-111-1-1-1111−ii−ii−ii−ii−ii−i−iii−i−i−iiii1-11-11-1i−ii−iii−i−iiii−i−i−i-11-11-11
χ681-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−i−ii−ii−i−iii−i−i−iiii-11-11-11i−ii−iii−i−iiii−i−i−i1-11-11-1
χ691-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7−ii−ii−ζ11−ζ7ζ11ζ7−i−ζ11−ζ7iζ11ζ71-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ7−ζ11−ζ7iζ11ζ7−i−ζ11−ζ7-111+i32−1−i321−i32−1+i32
χ701-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ii−ζ11−ζ7ζ11ζ7−i−ζ11−ζ7iζ11ζ7-111+i32−1−i321−i32−1+i32i−ii−iζ11ζ7−ζ11−ζ7iζ11ζ7−i−ζ11−ζ71-1−1−i321+i32−1+i321−i32
χ711-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11−ii−ii−ζ7−ζ11ζ7ζ11−i−ζ7−ζ11iζ7ζ111-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ11−ζ7−ζ11iζ7ζ11−i−ζ7−ζ11-111−i32−1+i321+i32−1−i32
χ721-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ii−ζ7−ζ11ζ7ζ11−i−ζ7−ζ11iζ7ζ11-111−i32−1+i321+i32−1−i32i−ii−iζ7ζ11−ζ7−ζ11iζ7ζ11−i−ζ7−ζ111-1−1+i321−i32−1−i321+i32
χ7322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2111111000000−2i−2i−2i−2i−2i−2i−2i−2iiiiiii0000002i2i2i2i2i2i2i2i−i−i−i−i−i−i000000
χ742222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32000000−2i−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7iζ11ζ7iζ11ζ70000002i2i2i2i2ζ112ζ72ζ112ζ7−i−ζ11−ζ7−i−ζ11−ζ7000000
χ752222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32000000−2i−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11iζ7ζ11iζ7ζ110000002i2i2i2i2ζ72ζ112ζ72ζ11−i−ζ7−ζ11−i−ζ7−ζ11000000
χ762-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000-22-22-2-222111-1-1-1000000−2i2i−2i2i−2i−2i2i2iiii−i−i−i0000002i−2i2i−2i2i2i−2i−2i−i−i−iiii000000
χ772-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32000000−2i2i−2i2i−2ζ11−2ζ72ζ112ζ7iζ11ζ7−i−ζ11−ζ70000002i−2i2i−2i2ζ112ζ7−2ζ11−2ζ7−i−ζ11−ζ7iζ11ζ7000000
χ782-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32000000−2i2i−2i2i−2ζ7−2ζ112ζ72ζ11iζ7ζ11−i−ζ7−ζ110000002i−2i2i−2i2ζ72ζ11−2ζ7−2ζ11−i−ζ7−ζ11iζ7ζ11000000
χ7966-3-3000000000000000066-3-30000000000000000-6-6330000000000000000−6i−6i3i3i00000000000000006i6i−3i−3i0000000000000000
χ806-6-3300000000000000006-6-330000000000000000-663-30000000000000000−6i6i3i−3i00000000000000006i−6i−3i3i0000000000000000
χ8144444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ8244444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000000000000000000000000000000
χ834444−2−2i3−2+2i3−2−2i3−2+2i34−2−2i3−2+2i34−2−2i3−2+2i344−2−2i3−2−2i3−2+2i3−2+2i3-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000000000000000000000000000000000000000000000000000
χ844444−2−2i3−2+2i3−2−2i3−2+2i34−2−2i3−2+2i34−2−2i3−2+2i3-4-42+2i32+2i32−2i32−2i3-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000000000000000000000000000
χ854444−2+2i3−2−2i3−2+2i3−2−2i34−2+2i3−2−2i34−2+2i3−2−2i344−2+2i3−2+2i3−2−2i3−2−2i3-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000000000000000000000000000000000000000000000000000
χ864444−2+2i3−2−2i3−2+2i3−2−2i34−2+2i3−2−2i34−2+2i3−2−2i3-4-42−2i32−2i32+2i32+2i3-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000000000000000000000000000000000000000000000
χ874-44-444-4-4444-4-4-44i−4i4i−4i4i−4i-11-11-1-111-1-1-1111−ii−ii−ii000000000000000000000000000000000000000000000000000000000000
χ884-44-444-4-4444-4-4-4−4i4i−4i4i−4i4i-11-11-1-111-1-1-1111i−ii−ii−i000000000000000000000000000000000000000000000000000000000000
χ894-44-4−2−2i3−2+2i32+2i32−2i34−2−2i3−2+2i3-42+2i32−2i34i−4i4ζ11−4ζ114ζ7−4ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7000000000000000000000000000000000000000000000000000000000000
χ904-44-4−2−2i3−2+2i32+2i32−2i34−2−2i3−2+2i3-42+2i32−2i3−4i4i−4ζ114ζ11−4ζ74ζ7-11-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7000000000000000000000000000000000000000000000000000000000000
χ914-44-4−2+2i3−2−2i32−2i32+2i34−2+2i3−2−2i3-42−2i32+2i34i−4i4ζ7−4ζ74ζ11−4ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000000000000000000000000000000000000000000000000000000000
χ924-44-4−2+2i3−2−2i32−2i32+2i34−2+2i3−2−2i3-42−2i32+2i3−4i4i−4ζ74ζ7−4ζ114ζ11-11-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11000000000000000000000000000000000000000000000000000000000000
χ9388888888-4-4-4-4-4-4000000-2-2-2-2-2-2-2-2111111000000000000000000000000000000000000000000000000000000000000000000
χ948888−4−4i3−4+4i3−4−4i3−4+4i3-42+2i32−2i3-42+2i32−2i3000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32000000000000000000000000000000000000000000000000000000000000000000
χ958888−4+4i3−4−4i3−4+4i3−4−4i3-42−2i32+2i3-42−2i32+2i3000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32000000000000000000000000000000000000000000000000000000000000000000
χ968-88-888-8-8-4-4-4444000000-22-22-2-222111-1-1-1000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8−4−4i3−4+4i34+4i34−4i3-42+2i32−2i34−2−2i3−2+2i3000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8−4+4i3−4−4i34−4i34+4i3-42−2i32+2i34−2+2i3−2−2i3000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32000000000000000000000000000000000000000000000000000000000000000000
χ992424-12-120000000000000000-6-6330000000000000000000000000000000000000000000000000000000000000000000000000000
χ10024-24-12120000000000000000-663-30000000000000000000000000000000000000000000000000000000000000000000000000000

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