Finite Group Databasebeta

← Group #13147151

Character table — Group #13147151

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1122336666666666991212121224242424272736363636112233666666666699121212122424242427273636363611223366666666669912121212242424242727363636361122336666666666991212121224242424272736363636
order1236226691818181818181844336699181844121212124412124412123636363636363636441212121236363636441212121222662266181818181818181844666618181818441212121244121244121236363636363636364412121212363636364412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ41111111111111111-1-111111111-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1
χ51111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32
χ61111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32
χ71-11-11-11-11111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-11-11111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-11-11111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-11-11111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i
χ81-11-11-11-11111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−i−ζ15ζ15−ζ3ζ31-11-11-11-11111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−i−ζ15ζ15−ζ3ζ31-11-11-11-11111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−i−ζ15ζ15−ζ3ζ31-11-11-11-11111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−i−ζ15ζ15−ζ3ζ3
χ91-11-11-11-11111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−i−ζ3ζ3−ζ15ζ151-11-11-11-11111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−i−ζ3ζ3−ζ15ζ151-11-11-11-11111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−i−ζ3ζ3−ζ15ζ151-11-11-11-11111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−i−ζ3ζ3−ζ15ζ15
χ101-11-11-11-11111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-11-11111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-11-11111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-11-11111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii
χ111-11-11-11-11111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−iiζ15−ζ15ζ3−ζ31-11-11-11-11111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−iiζ15−ζ15ζ3−ζ31-11-11-11-11111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−iiζ15−ζ15ζ3−ζ31-11-11-11-11111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−iiζ15−ζ15ζ3−ζ3
χ121-11-11-11-11111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−iiζ3−ζ3ζ15−ζ151-11-11-11-11111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−iiζ3−ζ3ζ15−ζ151-11-11-11-11111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−iiζ3−ζ3ζ15−ζ151-11-11-11-11111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−iiζ3−ζ3ζ15−ζ15
χ1322222222-1-1-1-1-1-1-1-1002222-1-1-1-100000022222222-1-1-1-1-1-1-1-1002222-1-1-1-100000022222222-1-1-1-1-1-1-1-1002222-1-1-1-100000022222222-1-1-1-1-1-1-1-1002222-1-1-1-1000000
χ1422222222-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222222-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222222-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222222-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ1522222222-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222222-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222222-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222222-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ162-22-22-22-2-1-1-1-111110022-2-2-1-1110000002-22-22-22-2-1-1-1-111110022-2-2-1-1110000002-22-22-22-2-1-1-1-111110022-2-2-1-1110000002-22-22-22-2-1-1-1-111110022-2-2-1-111000000
χ172-22-22-22-2-1-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-22-2-1-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-22-2-1-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-22-2-1-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ182-22-22-22-2-1-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-22-2-1-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-22-2-1-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-22-2-1-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ193333-1-1-1-13-1-1-13-1-1-13300000000-1-100003333-1-1-1-13-1-1-13-1-1-13300000000-1-100003333-1-1-1-13-1-1-13-1-1-13300000000-1-100003333-1-1-1-13-1-1-13-1-1-13300000000-1-10000
χ203333-1-1-1-13-1-1-13-1-1-1-3-3000000001100003333-1-1-1-13-1-1-13-1-1-1-3-3000000001100003333-1-1-1-13-1-1-13-1-1-1-3-3000000001100003333-1-1-1-13-1-1-13-1-1-1-3-300000000110000
χ213-33-3-11-113-1-1-1-31113i−3i00000000−ii00003-33-3-11-113-1-1-1-31113i−3i00000000−ii00003-33-3-11-113-1-1-1-31113i−3i00000000−ii00003-33-3-11-113-1-1-1-31113i−3i00000000−ii0000
χ223-33-3-11-113-1-1-1-3111−3i3i00000000i−i00003-33-3-11-113-1-1-1-3111−3i3i00000000i−i00003-33-3-11-113-1-1-1-3111−3i3i00000000i−i00003-33-3-11-113-1-1-1-3111−3i3i00000000i−i0000
χ236666-2-2-2-2-3111-311100000000000000006666-2-2-2-2-3111-311100000000000000006666-2-2-2-2-3111-311100000000000000006666-2-2-2-2-3111-31110000000000000000
χ2466-3-366-3-300000000000000000000000066-3-366-3-300000000000000000000000066-3-366-3-300000000000000000000000066-3-366-3-3000000000000000000000000
χ2566-3-3-2-21102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000066-3-3-2-21102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000066-3-3-2-21102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000066-3-3-2-21102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340000000000000000
χ2666-3-3-2-2110−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000066-3-3-2-2110−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000066-3-3-2-2110−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000066-3-3-2-2110−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340000000000000000
χ2766-3-3-2-21102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000066-3-3-2-21102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000066-3-3-2-21102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000066-3-3-2-21102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220000000000000000
χ286-66-6-22-22-31113-1-1-100000000000000006-66-6-22-22-31113-1-1-100000000000000006-66-6-22-22-31113-1-1-100000000000000006-66-6-22-22-31113-1-1-10000000000000000
χ296-6-336-6-330000000000000000000000006-6-336-6-330000000000000000000000006-6-336-6-330000000000000000000000006-6-336-6-33000000000000000000000000
χ306-6-33-221-102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000000000006-6-33-221-102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000000000006-6-33-221-102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000000000006-6-33-221-102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340000000000000000
χ316-6-33-221-10−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000000000006-6-33-221-10−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000000000006-6-33-221-10−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000000000006-6-33-221-10−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340000000000000000
χ326-6-33-221-102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000000000006-6-33-221-102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000000000006-6-33-221-102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000000000006-6-33-221-102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ220000000000000000
χ3311111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32iiiiiiiiiiiiiiiiii−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3ii−ζ15−ζ15−ζ3−ζ3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iζ15ζ3ζ15ζ3ζ15ζ3ζ15ζ3−i−iζ15ζ15ζ3ζ3
χ35111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32iiiiiiiiiiiiiiiiii−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15ii−ζ3−ζ3−ζ15−ζ15-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iζ3ζ15ζ3ζ15ζ3ζ15ζ3ζ15−i−iζ3ζ3ζ15ζ15
χ361111111111111111-1-111111111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−iiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iiiiiii
χ371111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32iiiiiiiiiiiiiiii−i−i−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3−i−iζ15ζ15ζ3ζ3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiζ15ζ3ζ15ζ3ζ15ζ3ζ15ζ3ii−ζ15−ζ15−ζ3−ζ3
χ381111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32iiiiiiiiiiiiiiii−i−i−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15−ζ3−ζ15−i−iζ3ζ3ζ15ζ15-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiζ3ζ15ζ3ζ15ζ3ζ15ζ3ζ15ii−ζ3−ζ3−ζ15−ζ15
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χ12166-3-3-2-21102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340000000000000000−6i−6i3i3i2i2i−i−i0−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ350−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ350000000000000000-6-63322-1-10−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000000000006i6i−3i−3i−2i−2iii02ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ3502ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ350000000000000000
χ12266-3-3-2-2110−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340000000000000000−6i−6i3i3i2i2i−i−i02ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ3502ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ350000000000000000-6-63322-1-102ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000000000006i6i−3i−3i−2i−2iii0−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ350−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ350000000000000000
χ12366-3-3-2-21102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220000000000000000−6i−6i3i3i2i2i−i−i02ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ3102ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ310000000000000000-6-63322-1-10−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000000000006i6i−3i−3i−2i−2iii0−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ310−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ310000000000000000
χ1246-66-6-22-22-31113-1-1-10000000000000000−6i6i−6i6i2i−2i2i−2i3i−i−i−i−3iiii0000000000000000-66-662-22-23-1-1-1-311100000000000000006i−6i6i−6i−2i2i−2i2i−3iiii3i−i−i−i0000000000000000
χ1256-6-336-6-33000000000000000000000000−6i6i3i−3i−6i6i3i−3i000000000000000000000000-663-3-663-30000000000000000000000006i−6i−3i3i6i−6i−3i3i000000000000000000000000
χ1266-6-33-221-102ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340000000000000000−6i6i3i−3i2i−2i−ii0−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ3502ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ350000000000000000-663-32-2-110−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3402ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000000000006i−6i−3i3i−2i2ii−i02ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ350−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ350000000000000000
χ1276-6-33-221-10−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3402ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340000000000000000−6i6i3i−3i2i−2i−ii02ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ350−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ350000000000000000-663-32-2-1102ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000000000006i−6i−3i3i−2i2ii−i0−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ3502ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ350000000000000000
χ1286-6-33-221-102ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ220000000000000000−6i6i3i−3i2i−2i−ii02ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ310−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ310000000000000000-663-32-2-110−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2202ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000000000006i−6i−3i3i−2i2ii−i0−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ3102ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ310000000000000000

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