Finite Group Databasebeta

← Group #13166725

Character table — Group #13166725

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444444488889912121212121212121818182424242424242424363636361122244444444888899121212121212121218181824242424242424243636363611222444444448888991212121212121212181818242424242424242436363636
order122443366661212612121244224444442246612121212121288883661212336666121261212121212661212121212126612661212121212122424242436612123366661212612121212126612121212121266126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ5111-1-1111111-1-11-1-1-1111-11-111-1-1-1-111-11-111-1-111-1-1111-1-1111111-1-11-1-1-1111-11-111-1-1-1-111-11-111-1-111-1-1111-1-1111111-1-11-1-1-1111-11-111-1-1-1-111-11-111-1-111-1-1
χ6111-1-1111111-1-11-1-1-1111-11-1-1-111-1-111-11-1-1-111-1-111111-1-1111111-1-11-1-1-1111-11-1-1-111-1-111-11-1-1-111-1-111111-1-1111111-1-11-1-1-1111-11-1-1-111-1-111-11-1-1-111-1-111
χ7111-1-1111111-1-11-1-1-111-11-1111-1-1-1-11-11-1111-1-1-1-111111-1-1111111-1-11-1-1-111-11-1111-1-1-1-11-11-1111-1-1-1-111111-1-1111111-1-11-1-1-111-11-1111-1-1-1-11-11-1111-1-1-1-111
χ8111-1-1111111-1-11-1-1-111-11-11-1-111-1-11-11-11-1-11111-1-1111-1-1111111-1-11-1-1-111-11-11-1-111-1-11-11-11-1-11111-1-1111-1-1111111-1-11-1-1-111-11-11-1-111-1-11-11-11-1-11111-1-1
χ911-11-111-111-111-11-1-1-1-11-1-11i−ii−i1-111-1-11i−ii−ii−ii−i11-11-111-111-111-11-1-1-1-11-1-11i−ii−i1-111-1-11i−ii−ii−ii−i11-11-111-111-111-11-1-1-1-11-1-11i−ii−i1-111-1-11i−ii−ii−ii−i
χ1011-11-111-111-111-11-1-1-1-11-1-11−ii−ii1-111-1-11−ii−ii−ii−ii11-11-111-111-111-11-1-1-1-11-1-11−ii−ii1-111-1-11−ii−ii−ii−ii11-11-111-111-111-11-1-1-1-11-1-11−ii−ii1-111-1-11−ii−ii−ii−ii
χ1111-11-111-111-111-11-1-1-1-1-111-1i−ii−i1-11-111-1i−ii−i−ii−ii11-11-111-111-111-11-1-1-1-1-111-1i−ii−i1-11-111-1i−ii−i−ii−ii11-11-111-111-111-11-1-1-1-1-111-1i−ii−i1-11-111-1i−ii−i−ii−ii
χ1211-11-111-111-111-11-1-1-1-1-111-1−ii−ii1-11-111-1−ii−iii−ii−i11-11-111-111-111-11-1-1-1-1-111-1−ii−ii1-11-111-1−ii−iii−ii−i11-11-111-111-111-11-1-1-1-1-111-1−ii−ii1-11-111-1−ii−iii−ii−i
χ1311-1-1111-111-1-1-1-1-111-1-111-1-1i−i−ii-11111-1-1i−i−iii−i−ii11-1-1111-111-1-1-1-1-111-1-111-1-1i−i−ii-11111-1-1i−i−iii−i−ii11-1-1111-111-1-1-1-1-111-1-111-1-1i−i−ii-11111-1-1i−i−iii−i−ii
χ1411-1-1111-111-1-1-1-1-111-1-111-1-1−iii−i-11111-1-1−iii−i−iii−i11-1-1111-111-1-1-1-1-111-1-111-1-1−iii−i-11111-1-1−iii−i−iii−i11-1-1111-111-1-1-1-1-111-1-111-1-1−iii−i-11111-1-1−iii−i−iii−i
χ1511-1-1111-111-1-1-1-1-111-1-1-1-111i−i−ii-111-1-111i−i−ii−iii−i11-1-1111-111-1-1-1-1-111-1-1-1-111i−i−ii-111-1-111i−i−ii−iii−i11-1-1111-111-1-1-1-1-111-1-1-1-111i−i−ii-111-1-111i−i−ii−iii−i
χ1611-1-1111-111-1-1-1-1-111-1-1-1-111−iii−i-111-1-111−iii−ii−i−ii11-1-1111-111-1-1-1-1-111-1-1-1-111−iii−i-111-1-111−iii−ii−i−ii11-1-1111-111-1-1-1-1-111-1-1-1-111−iii−i-111-1-111−iii−ii−i−ii
χ1722222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-2000000000000
χ18222-2-2222222-2-22-2-2-2-2-20000000022-2000000000000222-2-2222222-2-22-2-2-2-2-20000000022-2000000000000222-2-2222222-2-22-2-2-2-2-20000000022-2000000000000
χ1922-22-222-222-222-22-2-22200000000-22-200000000000022-22-222-222-222-22-2-22200000000-22-200000000000022-22-222-222-222-22-2-22200000000-22-2000000000000
χ2022-2-2222-222-2-2-2-2-22222000000002-2-200000000000022-2-2222-222-2-2-2-2-22222000000002-2-200000000000022-2-2222-222-2-2-2-2-22222000000002-2-2000000000000
χ21444441-211-21-2-2-211-200000022220000000-1-1-1-10000444441-211-21-2-2-211-200000022220000000-1-1-1-10000444441-211-21-2-2-211-200000022220000000-1-1-1-10000
χ22444441-211-21-2-2-211-2000000-2-2-2-2000000011110000444441-211-21-2-2-211-2000000-2-2-2-2000000011110000444441-211-21-2-2-211-2000000-2-2-2-2000000011110000
χ2344444-21-2-21-2111-2-210022220000000-1-1-1-10000000044444-21-2-21-2111-2-210022220000000-1-1-1-10000000044444-21-2-21-2111-2-210022220000000-1-1-1-100000000
χ2444444-21-2-21-2111-2-2100-2-2-2-2000000011110000000044444-21-2-21-2111-2-2100-2-2-2-2000000011110000000044444-21-2-21-2111-2-2100-2-2-2-20000000111100000000
χ25444-4-41-211-2122-2-1-1200000022-2-20000000-1-1110000444-4-41-211-2122-2-1-1200000022-2-20000000-1-1110000444-4-41-211-2122-2-1-1200000022-2-20000000-1-1110000
χ26444-4-41-211-2122-2-1-12000000-2-222000000011-1-10000444-4-41-211-2122-2-1-12000000-2-222000000011-1-10000444-4-41-211-2122-2-1-12000000-2-222000000011-1-10000
χ27444-4-4-21-2-21-2-1-1122-1002-22-20000000-11-1100000000444-4-4-21-2-21-2-1-1122-1002-22-20000000-11-1100000000444-4-4-21-2-21-2-1-1122-1002-22-20000000-11-1100000000
χ28444-4-4-21-2-21-2-1-1122-100-22-2200000001-11-100000000444-4-4-21-2-21-2-1-1122-100-22-2200000001-11-100000000444-4-4-21-2-21-2-1-1122-100-22-2200000001-11-100000000
χ2944-44-41-2-11-2-1-2-221-120000002i−2i2i−2i0000000−ii−ii000044-44-41-2-11-2-1-2-221-120000002i−2i2i−2i0000000−ii−ii000044-44-41-2-11-2-1-2-221-120000002i−2i2i−2i0000000−ii−ii0000
χ3044-44-41-2-11-2-1-2-221-12000000−2i2i−2i2i0000000i−ii−i000044-44-41-2-11-2-1-2-221-12000000−2i2i−2i2i0000000i−ii−i000044-44-41-2-11-2-1-2-221-12000000−2i2i−2i2i0000000i−ii−i0000
χ3144-44-4-212-21211-1-22-1002-2-220000000-111-10000000044-44-4-212-21211-1-22-1002-2-220000000-111-10000000044-44-4-212-21211-1-22-1002-2-220000000-111-100000000
χ3244-44-4-212-21211-1-22-100-222-200000001-1-110000000044-44-4-212-21211-1-22-100-222-200000001-1-110000000044-44-4-212-21211-1-22-100-222-200000001-1-1100000000
χ3344-4-441-2-11-2-1222-11-20000002i−2i−2i2i0000000−iii−i000044-4-441-2-11-2-1222-11-20000002i−2i−2i2i0000000−iii−i000044-4-441-2-11-2-1222-11-20000002i−2i−2i2i0000000−iii−i0000
χ3444-4-441-2-11-2-1222-11-2000000−2i2i2i−2i0000000i−i−ii000044-4-441-2-11-2-1222-11-2000000−2i2i2i−2i0000000i−i−ii000044-4-441-2-11-2-1222-11-2000000−2i2i2i−2i0000000i−i−ii0000
χ3544-4-44-212-212-1-1-12-210022-2-20000000-1-1110000000044-4-44-212-212-1-1-12-210022-2-20000000-1-1110000000044-4-44-212-212-1-1-12-210022-2-20000000-1-11100000000
χ3644-4-44-212-212-1-1-12-2100-2-222000000011-1-10000000044-4-44-212-212-1-1-12-2100-2-222000000011-1-10000000044-4-44-212-212-1-1-12-2100-2-222000000011-1-100000000
χ374-4000440-4-400000004i−4i000000000000000000000004-4000440-4-400000004i−4i000000000000000000000004-4000440-4-400000004i−4i00000000000000000000000
χ384-4000440-4-40000000−4i4i000000000000000000000004-4000440-4-40000000−4i4i000000000000000000000004-4000440-4-40000000−4i4i00000000000000000000000
χ398-80002-46-24-600000000000000000000000000000008-80002-46-24-600000000000000000000000000000008-80002-46-24-60000000000000000000000000000000
χ408-80002-4-6-24600000000000000000000000000000008-80002-4-6-24600000000000000000000000000000008-80002-4-6-2460000000000000000000000000000000
χ418-8000-4204-206i−6i000000000000000000000000000008-8000-4204-206i−6i000000000000000000000000000008-8000-4204-206i−6i00000000000000000000000000000
χ428-8000-4204-20−6i6i000000000000000000000000000008-8000-4204-20−6i6i000000000000000000000000000008-8000-4204-20−6i6i00000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+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+i32−1+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+i32−1+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−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32
χ4411111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+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−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ461111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ47111-1-1111111-1-11-1-1-1111-11-111-1-1-1-111-11-111-1-111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ48111-1-1111111-1-11-1-1-1111-11-1-1-111-1-111-11-1-1-111-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ49111-1-1111111-1-11-1-1-111-11-1111-1-1-1-11-11-1111-1-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ50111-1-1111111-1-11-1-1-111-11-11-1-111-1-11-11-11-1-11111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5111-11-111-111-111-11-1-1-1-11-1-11i−ii−i1-111-1-11i−ii−ii−ii−i−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
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χ10422-2-2222-222-2-2-2-2-22222000000002-2-2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000−1−i31+i31+i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000−1+i31−i31−i3000000000000
χ105444441-211-21-2-2-211-200000022220000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i321+i3000000−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i321−i3000000−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i320000
χ106444441-211-21-2-2-211-2000000-2-2-2-2000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i321+i30000001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i321−i30000001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i320000
χ10744444-21-2-21-2111-2-210022220000000-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i3−1−i3200−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i3−1+i3200−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i3200000000
χ10844444-21-2-21-2111-2-2100-2-2-2-20000000111100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i3−1−i32001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i3−1+i32001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i3200000000
χ109444-4-41-211-2122-2-1-1200000022-2-20000000-1-1110000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i3−1−i31+i31+i321+i32−1−i3000000−1−i3−1−i31+i31+i300000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i3−1+i31−i31−i321−i32−1+i3000000−1+i3−1+i31−i31−i300000001−i321−i32−1+i32−1+i320000
χ110444-4-41-211-2122-2-1-12000000-2-222000000011-1-10000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i3−1−i31+i31+i321+i32−1−i30000001+i31+i3−1−i3−1−i30000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i3−1+i31−i31−i321−i32−1+i30000001−i31−i3−1+i3−1+i30000000−1+i32−1+i321−i321−i320000
χ111444-4-4-21-2-21-2-1-1122-1002-22-20000000-11-1100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i321+i31+i321+i32−1−i32−1−i3−1−i31+i3200−1−i31+i3−1−i31+i300000001+i32−1−i321+i32−1−i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i321−i31−i321−i32−1+i32−1+i3−1+i31−i3200−1+i31−i3−1+i31−i300000001−i32−1+i321−i32−1+i3200000000
χ112444-4-4-21-2-21-2-1-1122-100-22-2200000001-11-100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i321+i31+i321+i32−1−i32−1−i3−1−i31+i32001+i3−1−i31+i3−1−i30000000−1−i321+i32−1−i321+i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i321−i31−i321−i32−1+i32−1+i3−1+i31−i32001−i3−1+i31−i3−1+i30000000−1+i321−i32−1+i321−i3200000000
χ11344-44-41-2-11-2-1-2-221-120000002i−2i2i−2i0000000−ii−ii0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i321+i31+i321+i31+i3−1−i3−1−i321+i32−1−i30000002ζ11−2ζ112ζ11−2ζ110000000−ζ11ζ11−ζ11ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i321−i31−i321−i31−i3−1+i3−1+i321−i32−1+i30000002ζ7−2ζ72ζ7−2ζ70000000−ζ7ζ7−ζ7ζ70000
χ11444-44-41-2-11-2-1-2-221-12000000−2i2i−2i2i0000000i−ii−i0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i321+i31+i321+i31+i3−1−i3−1−i321+i32−1−i3000000−2ζ112ζ11−2ζ112ζ110000000ζ11−ζ11ζ11−ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i321−i31−i321−i31−i3−1+i3−1+i321−i32−1+i3000000−2ζ72ζ7−2ζ72ζ70000000ζ7−ζ7ζ7−ζ70000
χ11544-44-4-212-21211-1-22-1002-2-220000000-111-100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i3−1−i32−1−i3−1−i32−1−i321+i321+i3−1−i31+i3200−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i3−1+i32−1+i3−1+i32−1+i321−i321−i3−1+i31−i3200−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i3200000000
χ11644-44-4-212-21211-1-22-100-222-200000001-1-1100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i3−1−i32−1−i3−1−i32−1−i321+i321+i3−1−i31+i32001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i3−1+i32−1+i3−1+i32−1+i321−i321−i3−1+i31−i32001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i3200000000
χ11744-4-441-2-11-2-1222-11-20000002i−2i−2i2i0000000−iii−i0000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i321+i31+i32−1−i3−1−i3−1−i31+i32−1−i321+i30000002ζ11−2ζ11−2ζ112ζ110000000−ζ11ζ11ζ11−ζ110000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i321−i31−i32−1+i3−1+i3−1+i31−i32−1+i321−i30000002ζ7−2ζ7−2ζ72ζ70000000−ζ7ζ7ζ7−ζ70000
χ11844-4-441-2-11-2-1222-11-2000000−2i2i2i−2i0000000i−i−ii0000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i321+i31+i32−1−i3−1−i3−1−i31+i32−1−i321+i3000000−2ζ112ζ112ζ11−2ζ110000000ζ11−ζ11−ζ11ζ110000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i321−i31−i32−1+i3−1+i3−1+i31−i32−1+i321−i3000000−2ζ72ζ72ζ7−2ζ70000000ζ7−ζ7−ζ7ζ70000
χ11944-4-44-212-212-1-1-12-210022-2-20000000-1-11100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i3−1−i32−1−i31+i321+i321+i32−1−i31+i3−1−i3200−1−i3−1−i31+i31+i300000001+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i3−1+i32−1+i31−i321−i321−i32−1+i31−i3−1+i3200−1+i3−1+i31−i31−i300000001−i321−i32−1+i32−1+i3200000000
χ12044-4-44-212-212-1-1-12-2100-2-222000000011-1-100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i3−1−i32−1−i31+i321+i321+i32−1−i31+i3−1−i32001+i31+i3−1−i3−1−i30000000−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i3−1+i32−1+i31−i321−i321−i32−1+i31−i3−1+i32001−i31−i3−1+i3−1+i30000000−1+i32−1+i321−i321−i3200000000
χ1214-4000440-4-400000004i−4i00000000000000000000000−2−2i32+2i3000−2−2i3−2−2i302+2i32+2i300000004ζ11−4ζ1100000000000000000000000−2+2i32−2i3000−2+2i3−2+2i302−2i32−2i300000004ζ7−4ζ700000000000000000000000
χ1224-4000440-4-40000000−4i4i00000000000000000000000−2−2i32+2i3000−2−2i3−2−2i302+2i32+2i30000000−4ζ114ζ1100000000000000000000000−2+2i32−2i3000−2+2i3−2+2i302−2i32−2i30000000−4ζ74ζ700000000000000000000000
χ1238-80002-46-24-60000000000000000000000000000000−4−4i34+4i3000−1−i32+2i3−3−3i31+i3−2−2i33+3i30000000000000000000000000000000−4+4i34−4i3000−1+i32−2i3−3+3i31−i3−2+2i33−3i30000000000000000000000000000000
χ1248-80002-4-6-2460000000000000000000000000000000−4−4i34+4i3000−1−i32+2i33+3i31+i3−2−2i3−3−3i30000000000000000000000000000000−4+4i34−4i3000−1+i32−2i33−3i31−i3−2+2i3−3+3i30000000000000000000000000000000
χ1258-8000-4204-206i−6i00000000000000000000000000000−4−4i34+4i30002+2i3−1−i30−2−2i31+i306ζ11−6ζ1100000000000000000000000000000−4+4i34−4i30002−2i3−1+i30−2+2i31−i306ζ7−6ζ700000000000000000000000000000
χ1268-8000-4204-20−6i6i00000000000000000000000000000−4−4i34+4i30002+2i3−1−i30−2−2i31+i30−6ζ116ζ1100000000000000000000000000000−4+4i34−4i30002−2i3−1+i30−2+2i31−i30−6ζ76ζ700000000000000000000000000000

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