Finite Group Databasebeta

← Group #11723081

Character table — Group #11723081

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122444444444444444499991818181818181818181811112244444444444444449999181818181818181818181111224444444444444444999918181818181818181818
order122244336666661212121212121212222244444444443666121233666666121212121212121266661212121212121212121236661212336666661212121212121212666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii
χ51111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i1-1i−i1-1i−i
χ1011-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i-11−ii-11−ii
χ1111-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−iii−i-11−ii1-111-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−iii−i-11−ii1-111-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−iii−i-11−ii1-1
χ1211-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i-11
χ1311-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii1-1−ii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii1-1−ii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii1-1−ii
χ1411-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii-11i−i-11i−i11-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii-11i−i-11i−i11-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii-11i−i-11i−i
χ1511-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1-1−ii-1111-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1-1−ii-1111-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1-1−ii-11
χ1611-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−i−ii-11i−i1-111-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−i−ii-11i−i1-111-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−i−ii-11i−i1-1
χ172-22-20022-2-222-2-20000000022-2-200000000002-22-20022-2-222-2-20000000022-2-200000000002-22-20022-2-222-2-20000000022-2-20000000000
χ182-22-20022-2-222-2-200000000-2-22200000000002-22-20022-2-222-2-200000000-2-22200000000002-22-20022-2-222-2-200000000-2-2220000000000
χ192-2-220022-2-2-2-222000000002-2-2200000000002-2-220022-2-2-2-222000000002-2-2200000000002-2-220022-2-2-2-222000000002-2-220000000000
χ202-2-220022-2-2-2-22200000000-222-200000000002-2-220022-2-2-2-22200000000-222-200000000002-2-220022-2-2-2-22200000000-222-20000000000
χ214444441-21-21-21-211-2-211-2-2000000000000004444441-21-21-21-211-2-211-2-2000000000000004444441-21-21-21-211-2-211-2-200000000000000
χ22444444-21-21-21-21-2-211-2-21100000000000000444444-21-21-21-21-2-211-2-21100000000000000444444-21-21-21-21-2-211-2-21100000000000000
χ234444-4-41-21-21-21-2-1-122-1-122000000000000004444-4-41-21-21-21-2-1-122-1-122000000000000004444-4-41-21-21-21-2-1-122-1-12200000000000000
χ244444-4-4-21-21-21-2122-1-122-1-1000000000000004444-4-4-21-21-21-2122-1-122-1-1000000000000004444-4-4-21-21-21-2122-1-122-1-100000000000000
χ2544-4-44i−4i1-21-2-12-12ii−2i−2i−i−i2i2i0000000000000044-4-44i−4i1-21-2-12-12ii−2i−2i−i−i2i2i0000000000000044-4-44i−4i1-21-2-12-12ii−2i−2i−i−i2i2i00000000000000
χ2644-4-44i−4i-21-212-12-1−2i−2iii2i2i−i−i0000000000000044-4-44i−4i-21-212-12-1−2i−2iii2i2i−i−i0000000000000044-4-44i−4i-21-212-12-1−2i−2iii2i2i−i−i00000000000000
χ2744-4-4−4i4i1-21-2-12-12−i−i2i2iii−2i−2i0000000000000044-4-4−4i4i1-21-2-12-12−i−i2i2iii−2i−2i0000000000000044-4-4−4i4i1-21-2-12-12−i−i2i2iii−2i−2i00000000000000
χ2844-4-4−4i4i-21-212-12-12i2i−i−i−2i−2iii0000000000000044-4-4−4i4i-21-212-12-12i2i−i−i−2i−2iii0000000000000044-4-4−4i4i-21-212-12-12i2i−i−i−2i−2iii00000000000000
χ294-44-4001-2-121-2-123i−3i003i−3i00000000000000004-44-4001-2-121-2-123i−3i003i−3i00000000000000004-44-4001-2-121-2-123i−3i003i−3i0000000000000000
χ304-44-4001-2-121-2-12−3i3i00−3i3i00000000000000004-44-4001-2-121-2-12−3i3i00−3i3i00000000000000004-44-4001-2-121-2-12−3i3i00−3i3i0000000000000000
χ314-44-400-212-1-212-1003i−3i003i−3i000000000000004-44-400-212-1-212-1003i−3i003i−3i000000000000004-44-400-212-1-212-1003i−3i003i−3i00000000000000
χ324-44-400-212-1-212-100−3i3i00−3i3i000000000000004-44-400-212-1-212-100−3i3i00−3i3i000000000000004-44-400-212-1-212-100−3i3i00−3i3i00000000000000
χ334-4-44001-2-12-121-23-300-3300000000000000004-4-44001-2-12-121-23-300-3300000000000000004-4-44001-2-12-121-23-300-330000000000000000
χ344-4-44001-2-12-121-2-33003-300000000000000004-4-44001-2-12-121-2-33003-300000000000000004-4-44001-2-12-121-2-33003-30000000000000000
χ354-4-4400-212-12-1-21003-300-33000000000000004-4-4400-212-12-1-21003-300-33000000000000004-4-4400-212-12-1-21003-300-3300000000000000
χ364-4-4400-212-12-1-2100-33003-3000000000000004-4-4400-212-12-1-2100-33003-3000000000000004-4-4400-212-12-1-2100-33003-300000000000000
χ37111111111111111111111111111111111111−1+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
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ391111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i−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−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1−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+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11
χ401111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii−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−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1−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+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11
χ411111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ421111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ431111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ441111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ4511-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i1-1i−i1-1i−i−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32ζ11−ζ11−1−i321+i32ζ11−ζ11
χ4611-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i-11−ii-11−ii−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i32−ζ7ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i32−ζ11ζ111+i32−1−i32−ζ11ζ11
χ4711-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−iii−i-11−ii1-1−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−1+i321−i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−1−i321+i32
χ4811-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i-11−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32ζ7−ζ71−i32−1+i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32ζ11−ζ111+i32−1−i32
χ4911-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii1-1−ii−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−ζ7ζ7−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−ζ11ζ11−1−i321+i32−ζ11ζ11
χ5011-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii-11i−i-11i−i−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i32ζ7−ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i32ζ11−ζ111+i32−1−i32ζ11−ζ11
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χ8311-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−iii−i-11−ii1-1−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−1+i321−i32
χ8411-1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i-11−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32ζ11−ζ111+i32−1−i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32ζ7−ζ71−i32−1+i32
χ8511-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii1-1−ii−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−ζ7ζ7−1+i321−i32−ζ7ζ7
χ8611-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii-11i−i-11i−i−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i32ζ11−ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i32ζ7−ζ71−i32−1+i32ζ7−ζ7
χ8711-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1-1−ii-11−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−ζ11ζ111+i32−1−i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−ζ7ζ71−i32−1+i32
χ8811-1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11i−i−ii-11i−i1-1−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−1−i321+i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−1+i321−i32
χ892-22-20022-2-222-2-20000000022-2-20000000000−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000−1−i3−1−i31+i31+i30000000000−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000−1+i3−1+i31−i31−i30000000000
χ902-22-20022-2-222-2-200000000-2-2220000000000−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000001+i31+i3−1−i3−1−i30000000000−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000001−i31−i3−1+i3−1+i30000000000
χ912-2-220022-2-2-2-222000000002-2-220000000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i31+i3−1−i30000000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i31−i3−1+i30000000000
χ922-2-220022-2-2-2-22200000000-222-20000000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i30000000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i30000000000
χ934444441-21-21-21-211-2-211-2-200000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i300000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i300000000000000
χ94444444-21-21-21-21-2-211-2-21100000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000000000
χ954444-4-41-21-21-21-2-1-122-1-12200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i300000000000000
χ964444-4-4-21-21-21-2122-1-122-1-100000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i3200000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i3200000000000000
χ9744-4-44i−4i1-21-2-12-12ii−2i−2i−i−i2i2i00000000000000−2−2i3−2−2i32+2i32+2i34ζ11−4ζ11−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3ζ11ζ11−2ζ11−2ζ11−ζ11−ζ112ζ112ζ1100000000000000−2+2i3−2+2i32−2i32−2i34ζ7−4ζ7−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3ζ7ζ7−2ζ7−2ζ7−ζ7−ζ72ζ72ζ700000000000000
χ9844-4-44i−4i-21-212-12-1−2i−2iii2i2i−i−i00000000000000−2−2i3−2−2i32+2i32+2i34ζ11−4ζ111+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−2ζ11−2ζ11ζ11ζ112ζ112ζ11−ζ11−ζ1100000000000000−2+2i3−2+2i32−2i32−2i34ζ7−4ζ71−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−2ζ7−2ζ7ζ7ζ72ζ72ζ7−ζ7−ζ700000000000000
χ9944-4-4−4i4i1-21-2-12-12−i−i2i2iii−2i−2i00000000000000−2−2i3−2−2i32+2i32+2i3−4ζ114ζ11−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−ζ11−ζ112ζ112ζ11ζ11ζ11−2ζ11−2ζ1100000000000000−2+2i3−2+2i32−2i32−2i3−4ζ74ζ7−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−ζ7−ζ72ζ72ζ7ζ7ζ7−2ζ7−2ζ700000000000000
χ10044-4-4−4i4i-21-212-12-12i2i−i−i−2i−2iii00000000000000−2−2i3−2−2i32+2i32+2i3−4ζ114ζ111+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ112ζ11−ζ11−ζ11−2ζ11−2ζ11ζ11ζ1100000000000000−2+2i3−2+2i32−2i32−2i3−4ζ74ζ71−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ72ζ7−ζ7−ζ7−2ζ7−2ζ7ζ7ζ700000000000000
χ1014-44-4001-2-121-2-123i−3i003i−3i0000000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i33ζ11−3ζ11003ζ11−3ζ110000000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i33ζ7−3ζ7003ζ7−3ζ70000000000000000
χ1024-44-4001-2-121-2-12−3i3i00−3i3i0000000000000000−2−2i32+2i3−2−2i32+2i300−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3−3ζ113ζ1100−3ζ113ζ110000000000000000−2+2i32−2i3−2+2i32−2i300−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3−3ζ73ζ700−3ζ73ζ70000000000000000
χ1034-44-400-212-1-212-1003i−3i003i−3i00000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32003ζ11−3ζ11003ζ11−3ζ1100000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32003ζ7−3ζ7003ζ7−3ζ700000000000000
χ1044-44-400-212-1-212-100−3i3i00−3i3i00000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i3200−3ζ113ζ1100−3ζ113ζ1100000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i3200−3ζ73ζ700−3ζ73ζ700000000000000
χ1054-4-44001-2-12-121-23-300-330000000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i3−3−3i323+3i32003+3i32−3−3i320000000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i3−3+3i323−3i32003−3i32−3+3i320000000000000000
χ1064-4-44001-2-12-121-2-33003-30000000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i33+3i32−3−3i3200−3−3i323+3i320000000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i33−3i32−3+3i3200−3+3i323−3i320000000000000000
χ1074-4-4400-212-12-1-21003-300-3300000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i3200−3−3i323+3i32003+3i32−3−3i3200000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i3200−3+3i323−3i32003−3i32−3+3i3200000000000000
χ1084-4-4400-212-12-1-2100-33003-300000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i32003+3i32−3−3i3200−3−3i323+3i3200000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i32003−3i32−3+3i3200−3+3i323−3i3200000000000000

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