Finite Group Databasebeta

← Group #13164643

Character table — Group #13164643

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1122336666666666991212121224242424272736363636112233666666666699121212122424242427273636363611223366666666669912121212242424242727363636361122336666666666991212121224242424272736363636
order123622366666666644336633664412121212226622666666666644666666664412121212226622666666666644666666664412121212226622666666666644666666664412121212
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
χ71-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i1-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i
χ81-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7
χ91-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11
χ101-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii1-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii
χ111-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ121-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ13222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000
χ14222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ15222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ162-22-22-2-12-2-1-1-111110022-2-2-1-1110000002-22-22-2-12-2-1-1-111110022-2-2-1-1110000002-22-22-2-12-2-1-1-111110022-2-2-1-1110000002-22-22-2-12-2-1-1-111110022-2-2-1-111000000
χ172-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ182-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ193333-1-13-1-1-1-1-13-1-1-13300000000-1-100003333-1-13-1-1-1-1-13-1-1-13300000000-1-100003333-1-13-1-1-1-1-13-1-1-13300000000-1-100003333-1-13-1-1-1-1-13-1-1-13300000000-1-10000
χ203333-1-13-1-1-1-1-13-1-1-1-3-3000000001100003333-1-13-1-1-1-1-13-1-1-1-3-3000000001100003333-1-13-1-1-1-1-13-1-1-1-3-3000000001100003333-1-13-1-1-1-1-13-1-1-1-3-300000000110000
χ213-33-3-113-11-1-1-1-31113i−3i00000000−ii00003-33-3-113-11-1-1-1-31113i−3i00000000−ii00003-33-3-113-11-1-1-1-31113i−3i00000000−ii00003-33-3-113-11-1-1-1-31113i−3i00000000−ii0000
χ223-33-3-113-11-1-1-1-3111−3i3i00000000i−i00003-33-3-113-11-1-1-1-3111−3i3i00000000i−i00003-33-3-113-11-1-1-1-3111−3i3i00000000i−i00003-33-3-113-11-1-1-1-3111−3i3i00000000i−i0000
χ236666-2-2-3-2-2111-311100000000000000006666-2-2-3-2-2111-311100000000000000006666-2-2-3-2-2111-311100000000000000006666-2-2-3-2-2111-31110000000000000000
χ2466-3-3660-3-30000000000000000000000066-3-3660-3-30000000000000000000000066-3-3660-3-30000000000000000000000066-3-3660-3-300000000000000000000000
χ2566-3-3-2-20114-2-204-2-2000000000000000066-3-3-2-20114-2-204-2-2000000000000000066-3-3-2-20114-2-204-2-2000000000000000066-3-3-2-20114-2-204-2-20000000000000000
χ2666-3-3-2-2011-24-20-24-2000000000000000066-3-3-2-2011-24-20-24-2000000000000000066-3-3-2-2011-24-20-24-2000000000000000066-3-3-2-2011-24-20-24-20000000000000000
χ2766-3-3-2-2011-2-240-2-24000000000000000066-3-3-2-2011-2-240-2-24000000000000000066-3-3-2-2011-2-240-2-24000000000000000066-3-3-2-2011-2-240-2-240000000000000000
χ286-66-6-22-3-221113-1-1-100000000000000006-66-6-22-3-221113-1-1-100000000000000006-66-6-22-3-221113-1-1-100000000000000006-66-6-22-3-221113-1-1-10000000000000000
χ296-6-336-60-33000000000000000000000006-6-336-60-33000000000000000000000006-6-336-60-33000000000000000000000006-6-336-60-3300000000000000000000000
χ306-6-33-2201-14-2-20-42200000000000000006-6-33-2201-14-2-20-42200000000000000006-6-33-2201-14-2-20-42200000000000000006-6-33-2201-14-2-20-4220000000000000000
χ316-6-33-2201-1-24-202-4200000000000000006-6-33-2201-1-24-202-4200000000000000006-6-33-2201-1-24-202-4200000000000000006-6-33-2201-1-24-202-420000000000000000
χ326-6-33-2201-1-2-24022-400000000000000006-6-33-2201-1-2-24022-400000000000000006-6-33-2201-1-2-24022-400000000000000006-6-33-2201-1-2-24022-40000000000000000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32
χ35111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32
χ361111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ371111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ381111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32
χ391-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i-11-11-11-1-11-1-1-11111−ii-1-111-1-111−ii−ii−ii1-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i-11-11-11-1-11-1-1-11111−ii-1-111-1-111−ii−ii−ii
χ401-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7-11-11-11-1-11-1-1-11111−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7-11-11-11-1-11-1-1-11111−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7
χ411-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11-11-11-11-1-11-1-1-11111−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11-11-11-11-1-11-1-1-11111−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ421-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii-11-11-11-1-11-1-1-11111i−i-1-111-1-111i−ii−ii−i1-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii-11-11-11-1-11-1-1-11111i−i-1-111-1-111i−ii−ii−i
χ431-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-11-11-1-11-1-1-11111i−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-11-11-1-11-1-1-11111i−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7
χ441-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-11-11-1-11-1-1-11111i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-11-11-1-11-1-1-11111i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11
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χ1001111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1
χ1011111111111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+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
χ1021111111111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−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
χ1031-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i-11-11-11-1-11-1-1-11111−ii-1-111-1-111−ii−ii−ii-11-11-11-1-11-1-1-11111−ii-1-111-1-111−ii−ii−ii1-11-11-111-1111-1-1-1-1i−i11-1-111-1-1i−ii−ii−i
χ1041-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7-11-11-11-1-11-1-1-11111−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7-11-11-11-1-11-1-1-11111−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ71-11-11-111-1111-1-1-1-1i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7
χ1051-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11-11-11-11-1-11-1-1-11111−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11-11-11-11-1-11-1-1-11111−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ111-11-11-111-1111-1-1-1-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11
χ1061-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii-11-11-11-1-11-1-1-11111i−i-1-111-1-111i−ii−ii−i-11-11-11-1-11-1-1-11111i−i-1-111-1-111i−ii−ii−i1-11-11-111-1111-1-1-1-1−ii11-1-111-1-1−ii−ii−ii
χ1071-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-11-11-1-11-1-1-11111i−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7-11-11-11-1-11-1-1-11111i−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ71-11-11-111-1111-1-1-1-1−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ1081-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-11-11-1-11-1-1-11111i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11-11-11-11-1-11-1-1-11111i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ111-11-11-111-1111-1-1-1-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ109222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000-2-2-2-2-2-21-2-2111111100-2-2-2-21111000000-2-2-2-2-2-21-2-2111111100-2-2-2-21111000000222222-122-1-1-1-1-1-1-1002222-1-1-1-1000000
χ110222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000-2-2-2-2-2-21-2-21111111001+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i32000000-2-2-2-2-2-21-2-21111111001+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i32000000222222-122-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ111222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000-2-2-2-2-2-21-2-21111111001−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i32000000-2-2-2-2-2-21-2-21111111001−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i32000000222222-122-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ1122-22-22-2-12-2-1-1-111110022-2-2-1-111000000-22-22-221-22111-1-1-1-100-2-22211-1-1000000-22-22-221-22111-1-1-1-100-2-22211-1-10000002-22-22-2-12-2-1-1-111110022-2-2-1-111000000
χ1132-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000-22-22-221-22111-1-1-1-1001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000-22-22-221-22111-1-1-1-1001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i320000002-22-22-2-12-2-1-1-1111100−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ1142-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000-22-22-221-22111-1-1-1-1001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i32000000-22-22-221-22111-1-1-1-1001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i320000002-22-22-2-12-2-1-1-1111100−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ1153333-1-13-1-1-1-1-13-1-1-13300000000-1-10000-3-3-3-311-311111-3111-3-300000000110000-3-3-3-311-311111-3111-3-3000000001100003333-1-13-1-1-1-1-13-1-1-13300000000-1-10000
χ1163333-1-13-1-1-1-1-13-1-1-1-3-300000000110000-3-3-3-311-311111-31113300000000-1-10000-3-3-3-311-311111-31113300000000-1-100003333-1-13-1-1-1-1-13-1-1-1-3-300000000110000
χ1173-33-3-113-11-1-1-1-31113i−3i00000000−ii0000-33-331-1-31-11113-1-1-1−3i3i00000000i−i0000-33-331-1-31-11113-1-1-1−3i3i00000000i−i00003-33-3-113-11-1-1-1-31113i−3i00000000−ii0000
χ1183-33-3-113-11-1-1-1-3111−3i3i00000000i−i0000-33-331-1-31-11113-1-1-13i−3i00000000−ii0000-33-331-1-31-11113-1-1-13i−3i00000000−ii00003-33-3-113-11-1-1-1-3111−3i3i00000000i−i0000
χ1196666-2-2-3-2-2111-31110000000000000000-6-6-6-622322-1-1-13-1-1-10000000000000000-6-6-6-622322-1-1-13-1-1-100000000000000006666-2-2-3-2-2111-31110000000000000000
χ12066-3-3660-3-300000000000000000000000-6-633-6-603300000000000000000000000-6-633-6-60330000000000000000000000066-3-3660-3-300000000000000000000000
χ12166-3-3-2-20114-2-204-2-20000000000000000-6-633220-1-1-4220-4220000000000000000-6-633220-1-1-4220-422000000000000000066-3-3-2-20114-2-204-2-20000000000000000
χ12266-3-3-2-2011-24-20-24-20000000000000000-6-633220-1-12-4202-420000000000000000-6-633220-1-12-4202-42000000000000000066-3-3-2-2011-24-20-24-20000000000000000
χ12366-3-3-2-2011-2-240-2-240000000000000000-6-633220-1-122-4022-40000000000000000-6-633220-1-122-4022-4000000000000000066-3-3-2-2011-2-240-2-240000000000000000
χ1246-66-6-22-3-221113-1-1-10000000000000000-66-662-232-2-1-1-1-31110000000000000000-66-662-232-2-1-1-1-311100000000000000006-66-6-22-3-221113-1-1-10000000000000000
χ1256-6-336-60-3300000000000000000000000-663-3-6603-300000000000000000000000-663-3-6603-3000000000000000000000006-6-336-60-3300000000000000000000000
χ1266-6-33-2201-14-2-20-4220000000000000000-663-32-20-11-42204-2-20000000000000000-663-32-20-11-42204-2-200000000000000006-6-33-2201-14-2-20-4220000000000000000
χ1276-6-33-2201-1-24-202-420000000000000000-663-32-20-112-420-24-20000000000000000-663-32-20-112-420-24-200000000000000006-6-33-2201-1-24-202-420000000000000000
χ1286-6-33-2201-1-2-24022-40000000000000000-663-32-20-1122-40-2-240000000000000000-663-32-20-1122-40-2-2400000000000000006-6-33-2201-1-2-24022-40000000000000000

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