Finite Group Databasebeta

← Group #13048726

Character table — Group #13048726

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111122222233333366666666999999121212121212121218181818181818181818181818182727272727271111112222223333336666666699999912121212121212121818181818181818181818181818272727272727
order12336633366644121212123333666644121212123333666612121212121212121212121212122266662266666666664412121212666666664412121212666666661212121212121212121212121212226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51-111-1-1111-1-1-1i−iii−i−i1111-1-1-1-1i−iii−i−i1111-1-1-1-1iii−i−i−iiiii−i−i−i−i1-111-1-11-111-1-1111-1-1-1i−iii−i−i1111-1-1-1-1i−iii−i−i1111-1-1-1-1iii−i−i−iiiii−i−i−i−i1-111-1-1
χ61-111-1-1111-1-1-1i−iii−i−i1111-1-1-1-1−ii−i−iii1111-1-1-1-1−i−i−iiiiiiii−i−i−i−i-11-1-1111-111-1-1111-1-1-1i−iii−i−i1111-1-1-1-1−ii−i−iii1111-1-1-1-1−i−i−iiiiiiii−i−i−i−i-11-1-111
χ71-111-1-1111-1-1-1−ii−i−iii1111-1-1-1-1i−iii−i−i1111-1-1-1-1iii−i−i−i−i−i−i−iiiii-11-1-1111-111-1-1111-1-1-1−ii−i−iii1111-1-1-1-1i−iii−i−i1111-1-1-1-1iii−i−i−i−i−i−i−iiiii-11-1-111
χ81-111-1-1111-1-1-1−ii−i−iii1111-1-1-1-1−ii−i−iii1111-1-1-1-1−i−i−iiii−i−i−i−iiiii1-111-1-11-111-1-1111-1-1-1−ii−i−iii1111-1-1-1-1−ii−i−iii1111-1-1-1-1−i−i−iiii−i−i−i−iiiii1-111-1-1
χ92222222222222222222-1-1-12-1-1-10000002-1-1-12-1-1-10000002-1-1-12-1-1-10000002222222222222222222-1-1-12-1-1-10000002-1-1-12-1-1-10000002-1-1-12-1-1-1000000
χ10222222222222222222-12-1-1-12-1-1000000-12-1-1-12-1-1000000-12-1-1-12-1-1000000222222222222222222-12-1-1-12-1-1000000-12-1-1-12-1-1000000-12-1-1-12-1-1000000
χ11222222222222222222-1-12-1-1-12-1000000-1-12-1-1-12-1000000-1-12-1-1-12-1000000222222222222222222-1-12-1-1-12-1000000-1-12-1-1-12-1000000-1-12-1-1-12-1000000
χ12222222222222222222-1-1-12-1-1-12000000-1-1-12-1-1-12000000-1-1-12-1-1-12000000222222222222222222-1-1-12-1-1-12000000-1-1-12-1-1-12000000-1-1-12-1-1-12000000
χ13222222222222-2-2-2-2-2-22-1-1-12-1-1-10000002-1-1-12-1-1-1000000-2111-2111000000222222222222-2-2-2-2-2-22-1-1-12-1-1-10000002-1-1-12-1-1-1000000-2111-2111000000
χ14222222222222-2-2-2-2-2-2-12-1-1-12-1-1000000-12-1-1-12-1-10000001-2111-211000000222222222222-2-2-2-2-2-2-12-1-1-12-1-1000000-12-1-1-12-1-10000001-2111-211000000
χ15222222222222-2-2-2-2-2-2-1-12-1-1-12-1000000-1-12-1-1-12-100000011-2111-21000000222222222222-2-2-2-2-2-2-1-12-1-1-12-1000000-1-12-1-1-12-100000011-2111-21000000
χ16222222222222-2-2-2-2-2-2-1-1-12-1-1-12000000-1-1-12-1-1-12000000111-2111-2000000222222222222-2-2-2-2-2-2-1-1-12-1-1-12000000-1-1-12-1-1-12000000111-2111-2000000
χ17222222-1-1-1-1-1-100000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000222222-1-1-1-1-1-100000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ18222222-1-1-1-1-1-100000022222222-2-2-2-2-2-2-1-1-1-1-1-1-1-111111100000000000000222222-1-1-1-1-1-100000022222222-2-2-2-2-2-2-1-1-1-1-1-1-1-111111100000000000000
χ192-222-2-2222-2-2-22i−2i2i2i−2i−2i2-1-1-1-21110000002-1-1-1-21110000002i−i−i−i−2iiii0000002-222-2-2222-2-2-22i−2i2i2i−2i−2i2-1-1-1-21110000002-1-1-1-21110000002i−i−i−i−2iiii000000
χ202-222-2-2222-2-2-22i−2i2i2i−2i−2i-12-1-11-211000000-12-1-11-211000000−i2i−i−ii−2iii0000002-222-2-2222-2-2-22i−2i2i2i−2i−2i-12-1-11-211000000-12-1-11-211000000−i2i−i−ii−2iii000000
χ212-222-2-2222-2-2-22i−2i2i2i−2i−2i-1-12-111-21000000-1-12-111-21000000−i−i2i−iii−2ii0000002-222-2-2222-2-2-22i−2i2i2i−2i−2i-1-12-111-21000000-1-12-111-21000000−i−i2i−iii−2ii000000
χ222-222-2-2222-2-2-22i−2i2i2i−2i−2i-1-1-12111-2000000-1-1-12111-2000000−i−i−i2iiii−2i0000002-222-2-2222-2-2-22i−2i2i2i−2i−2i-1-1-12111-2000000-1-1-12111-2000000−i−i−i2iiii−2i000000
χ232-222-2-2222-2-2-2−2i2i−2i−2i2i2i2-1-1-1-21110000002-1-1-1-2111000000−2iiii2i−i−i−i0000002-222-2-2222-2-2-2−2i2i−2i−2i2i2i2-1-1-1-21110000002-1-1-1-2111000000−2iiii2i−i−i−i000000
χ242-222-2-2222-2-2-2−2i2i−2i−2i2i2i-12-1-11-211000000-12-1-11-211000000i−2iii−i2i−i−i0000002-222-2-2222-2-2-2−2i2i−2i−2i2i2i-12-1-11-211000000-12-1-11-211000000i−2iii−i2i−i−i000000
χ252-222-2-2222-2-2-2−2i2i−2i−2i2i2i-1-12-111-21000000-1-12-111-21000000ii−2ii−i−i2i−i0000002-222-2-2222-2-2-2−2i2i−2i−2i2i2i-1-12-111-21000000-1-12-111-21000000ii−2ii−i−i2i−i000000
χ262-222-2-2222-2-2-2−2i2i−2i−2i2i2i-1-1-12111-2000000-1-1-12111-2000000iii−2i−i−i−i2i0000002-222-2-2222-2-2-2−2i2i−2i−2i2i2i-1-1-12111-2000000-1-1-12111-2000000iii−2i−i−i−i2i000000
χ272-222-2-2-1-1-11110000002222-2-2-2-22i−2i2i2i−2i−2i-1-1-1-11111−i−i−iiii000000000000002-222-2-2-1-1-11110000002222-2-2-2-22i−2i2i2i−2i−2i-1-1-1-11111−i−i−iiii00000000000000
χ282-222-2-2-1-1-11110000002222-2-2-2-2−2i2i−2i−2i2i2i-1-1-1-11111iii−i−i−i000000000000002-222-2-2-1-1-11110000002222-2-2-2-2−2i2i−2i−2i2i2i-1-1-1-11111iii−i−i−i00000000000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i321−1−i32−1+i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i321−1−i32−1+i320000000011−1−i32−1+i32−1−i32−1+i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3200000000-11+i321−i32-11+i321−i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3200000000-11+i321−i32-11+i321−i3200000000-1-11+i321−i321+i321−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i321−1−i32−1+i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i321−1−i32−1+i3200000000-1-11+i321−i321+i321−i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i3200000000-11+i321−i32-11+i321−i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i3200000000-11+i321−i32-11+i321−i320000000011−1−i32−1+i32−1−i32−1+i32
χ3333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i321−1+i32−1−i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i321−1+i32−1−i320000000011−1+i32−1−i32−1+i32−1−i32
χ3433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3200000000-11−i321+i32-11−i321+i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3200000000-11−i321+i32-11−i321+i3200000000-1-11−i321+i321−i321+i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i321−1+i32−1−i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i321−1+i32−1−i3200000000-1-11−i321+i321−i321+i32
χ3633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+i3200000000-11−i321+i32-11−i321+i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+i3200000000-11−i321+i32-11−i321+i320000000011−1+i32−1−i32−1+i32−1−i32
χ373-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i323i−3i3ζ113ζ7−3ζ11−3ζ700000000i−iζ11ζ7−ζ11−ζ700000000iζ11ζ7−i−ζ11−ζ7000000001-1−1−i32−1+i321+i321−i323-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i323i−3i3ζ113ζ7−3ζ11−3ζ700000000i−iζ11ζ7−ζ11−ζ700000000iζ11ζ7−i−ζ11−ζ7000000001-1−1−i32−1+i321+i321−i32
χ383-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i323i−3i3ζ113ζ7−3ζ11−3ζ700000000−ii−ζ11−ζ7ζ11ζ700000000−i−ζ11−ζ7iζ11ζ700000000-111+i321−i32−1−i32−1+i323-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i323i−3i3ζ113ζ7−3ζ11−3ζ700000000−ii−ζ11−ζ7ζ11ζ700000000−i−ζ11−ζ7iζ11ζ700000000-111+i321−i32−1−i32−1+i32
χ393-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32−3i3i−3ζ11−3ζ73ζ113ζ700000000i−iζ11ζ7−ζ11−ζ700000000iζ11ζ7−i−ζ11−ζ700000000-111+i321−i32−1−i32−1+i323-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32−3i3i−3ζ11−3ζ73ζ113ζ700000000i−iζ11ζ7−ζ11−ζ700000000iζ11ζ7−i−ζ11−ζ700000000-111+i321−i32−1−i32−1+i32
χ403-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32−3i3i−3ζ11−3ζ73ζ113ζ700000000−ii−ζ11−ζ7ζ11ζ700000000−i−ζ11−ζ7iζ11ζ7000000001-1−1−i32−1+i321+i321−i323-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32−3i3i−3ζ11−3ζ73ζ113ζ700000000−ii−ζ11−ζ7ζ11ζ700000000−i−ζ11−ζ7iζ11ζ7000000001-1−1−i32−1+i321+i321−i32
χ413-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ11000000001-1−1+i32−1−i321−i321+i323-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ11000000001-1−1+i32−1−i321−i321+i32
χ423-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000-111−i321+i32−1+i32−1−i323-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000-111−i321+i32−1+i32−1−i32
χ433-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000-111−i321+i32−1+i32−1−i323-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000-111−i321+i32−1+i32−1−i32
χ443-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ11000000001-1−1+i32−1−i321−i321+i323-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ11000000001-1−1+i32−1−i321−i321+i32
χ45444444-2-2-2-2-2-20000004-2-2-24-2-2-2000000-2111-211100000000000000000000444444-2-2-2-2-2-20000004-2-2-24-2-2-2000000-2111-211100000000000000000000
χ46444444-2-2-2-2-2-2000000-24-2-2-24-2-20000001-2111-21100000000000000000000444444-2-2-2-2-2-2000000-24-2-2-24-2-20000001-2111-21100000000000000000000
χ47444444-2-2-2-2-2-2000000-2-24-2-2-24-200000011-2111-2100000000000000000000444444-2-2-2-2-2-2000000-2-24-2-2-24-200000011-2111-2100000000000000000000
χ48444444-2-2-2-2-2-2000000-2-2-24-2-2-24000000111-2111-200000000000000000000444444-2-2-2-2-2-2000000-2-2-24-2-2-24000000111-2111-200000000000000000000
χ494-444-4-4-2-2-22220000004-2-2-2-4222000000-21112-1-1-1000000000000000000004-444-4-4-2-2-22220000004-2-2-2-4222000000-21112-1-1-100000000000000000000
χ504-444-4-4-2-2-2222000000-24-2-22-4220000001-211-12-1-1000000000000000000004-444-4-4-2-2-2222000000-24-2-22-4220000001-211-12-1-100000000000000000000
χ514-444-4-4-2-2-2222000000-2-24-222-4200000011-21-1-12-1000000000000000000004-444-4-4-2-2-2222000000-2-24-222-4200000011-21-1-12-100000000000000000000
χ524-444-4-4-2-2-2222000000-2-2-24222-4000000111-2-1-1-12000000000000000000004-444-4-4-2-2-2222000000-2-2-24222-4000000111-2-1-1-1200000000000000000000
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χ1013-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ11000000001-1−1+i32−1−i321−i321+i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000-111−i321+i32−1+i32−1−i32
χ1023-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000-111−i321+i32−1+i32−1−i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ11000000001-1−1+i32−1−i321−i321+i32
χ1033-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000-111−i321+i32−1+i32−1−i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ11000000001-1−1+i32−1−i321−i321+i32
χ1043-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32−3i3i−3ζ7−3ζ113ζ73ζ1100000000−ii−ζ7−ζ11ζ7ζ1100000000−i−ζ7−ζ11iζ7ζ11000000001-1−1+i32−1−i321−i321+i32-333−3i323+3i32−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i323i−3i3ζ73ζ11−3ζ7−3ζ1100000000i−iζ7ζ11−ζ7−ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000-111−i321+i32−1+i32−1−i32
χ105444444-2-2-2-2-2-20000004-2-2-24-2-2-2000000-2111-211100000000000000000000-4-4-4-4-4-4222222000000-4222-42220000002-1-1-12-1-1-100000000000000000000
χ106444444-2-2-2-2-2-2000000-24-2-2-24-2-20000001-2111-21100000000000000000000-4-4-4-4-4-42222220000002-4222-422000000-12-1-1-12-1-100000000000000000000
χ107444444-2-2-2-2-2-2000000-2-24-2-2-24-200000011-2111-2100000000000000000000-4-4-4-4-4-422222200000022-4222-42000000-1-12-1-1-12-100000000000000000000
χ108444444-2-2-2-2-2-2000000-2-2-24-2-2-24000000111-2111-200000000000000000000-4-4-4-4-4-4222222000000222-4222-4000000-1-1-12-1-1-1200000000000000000000
χ1094-444-4-4-2-2-22220000004-2-2-2-4222000000-21112-1-1-100000000000000000000-44-4-444222-2-2-2000000-42224-2-2-20000002-1-1-1-211100000000000000000000
χ1104-444-4-4-2-2-2222000000-24-2-22-4220000001-211-12-1-100000000000000000000-44-4-444222-2-2-20000002-422-24-2-2000000-12-1-11-21100000000000000000000
χ1114-444-4-4-2-2-2222000000-2-24-222-4200000011-21-1-12-100000000000000000000-44-4-444222-2-2-200000022-42-2-24-2000000-1-12-111-2100000000000000000000
χ1124-444-4-4-2-2-2222000000-2-2-24222-4000000111-2-1-1-1200000000000000000000-44-4-444222-2-2-2000000222-4-2-2-24000000-1-1-12111-200000000000000000000
χ11366−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000022−1−i3−1+i3−1−i3−1+i300000000-11+i321−i32-11+i321−i3200000000000000-6-63+3i33−3i33+3i33−3i33−3−3i32−3+3i323−3−3i32−3+3i3200000000000000-2-21+i31−i31+i31−i3000000001−1−i32−1+i321−1−i32−1+i3200000000000000
χ11466−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i3200000000000000-2-21+i31−i31+i31−i3000000001−1−i32−1+i321−1−i32−1+i3200000000000000-6-63+3i33−3i33+3i33−3i33−3−3i32−3+3i323−3−3i32−3+3i320000000000000022−1−i3−1+i3−1−i3−1+i300000000-11+i321−i32-11+i321−i3200000000000000
χ11566−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000022−1+i3−1−i3−1+i3−1−i300000000-11−i321+i32-11−i321+i3200000000000000-6-63−3i33+3i33−3i33+3i33−3+3i32−3−3i323−3+3i32−3−3i3200000000000000-2-21−i31+i31−i31+i3000000001−1+i32−1−i321−1+i32−1−i3200000000000000
χ11666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i3200000000000000-2-21−i31+i31−i31+i3000000001−1+i32−1−i321−1+i32−1−i3200000000000000-6-63−3i33+3i33−3i33+3i33−3+3i32−3−3i323−3+3i32−3−3i320000000000000022−1+i3−1−i3−1+i3−1−i300000000-11−i321+i32-11−i321+i3200000000000000
χ1176-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i32000000000000002i−2i2ζ112ζ7−2ζ11−2ζ700000000−i−ζ11−ζ7iζ11ζ700000000000000-663+3i33−3i3−3−3i3−3+3i33−3−3i32−3+3i32-33+3i323−3i3200000000000000−2i2i−2ζ11−2ζ72ζ112ζ700000000iζ11ζ7−i−ζ11−ζ700000000000000
χ1186-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i3200000000000000−2i2i−2ζ11−2ζ72ζ112ζ700000000iζ11ζ7−i−ζ11−ζ700000000000000-663+3i33−3i3−3−3i3−3+3i33−3−3i32−3+3i32-33+3i323−3i32000000000000002i−2i2ζ112ζ7−2ζ11−2ζ700000000−i−ζ11−ζ7iζ11ζ700000000000000
χ1196-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i32000000000000002i−2i2ζ72ζ11−2ζ7−2ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000000000-663−3i33+3i3−3+3i3−3−3i33−3+3i32−3−3i32-33−3i323+3i3200000000000000−2i2i−2ζ7−2ζ112ζ72ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000000000
χ1206-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i3200000000000000−2i2i−2ζ7−2ζ112ζ72ζ1100000000iζ7ζ11−i−ζ7−ζ1100000000000000-663−3i33+3i3−3+3i3−3−3i33−3+3i32−3−3i32-33−3i323+3i32000000000000002i−2i2ζ72ζ11−2ζ7−2ζ1100000000−i−ζ7−ζ11iζ7ζ1100000000000000

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