Finite Group Databasebeta

← Group #10623960

Character table — Group #10623960

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112233445555558810101010101012121515151515151122334455555588101010101010121215151515151511223344555555881010101010101212151515151515
order12364451044888815301212242424242020228888363612121530121224242424153012122424242460606624242424363612121530121224242424153012122424242460606624242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ311111111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11111111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11111111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ411111111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11111111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11111111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii
χ51111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii1111-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii1111-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii
χ81111-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i1111-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i1111-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i
χ91-11-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13i−i1-1ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-11-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13i−i1-1ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-11-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13i−i1-1ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ101-11-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13i−i1-1−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-11-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13i−i1-1−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-11-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13i−i1-1−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ111-11-1i−i1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23i−i-11−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-11-1i−i1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23i−i-11−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-11-1i−i1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23i−i-11−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ121-11-1i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-11-1i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-11-1i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ131-11-1−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-11-1−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-11-1−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ141-11-1−ii1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ii-11ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-11-1−ii1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ii-11ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-11-1−ii1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ii-11ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ151-11-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ii1-1ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-11-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ii1-1ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-11-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ii1-1ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ161-11-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ii1-1−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-11-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ii1-1−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-11-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ii1-1−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1722-1-10022222222-1-1-1-1-1-1-1-10000000022-1-10022222222-1-1-1-1-1-1-1-10000000022-1-10022222222-1-1-1-1-1-1-1-100000000
χ1822-1-1002222-2-2-2-2-1-1-1-111110000000022-1-1002222-2-2-2-2-1-1-1-111110000000022-1-1002222-2-2-2-2-1-1-1-1111100000000
χ1922-1-10022-2-22i2i−2i−2i-1-111−i−iii0000000022-1-10022-2-22i2i−2i−2i-1-111−i−iii0000000022-1-10022-2-22i2i−2i−2i-1-111−i−iii00000000
χ2022-1-10022-2-2−2i−2i2i2i-1-111ii−i−i0000000022-1-10022-2-2−2i−2i2i2i-1-111ii−i−i0000000022-1-10022-2-2−2i−2i2i2i-1-111ii−i−i00000000
χ212-2-11002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000002-2-11002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000002-2-11002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1300000000
χ222-2-11002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000002-2-11002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000002-2-11002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1300000000
χ232-2-11002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000002-2-11002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000002-2-11002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2300000000
χ242-2-11002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000002-2-11002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000002-2-11002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2300000000
χ25444444-1-1000000-1-1000000-1-1000000444444-1-1000000-1-1000000-1-1000000444444-1-1000000-1-1000000-1-1000000
χ264444-4-4-1-1000000-1-1000000110000004444-4-4-1-1000000-1-1000000110000004444-4-4-1-1000000-1-100000011000000
χ274-44-44i−4i-11000000-11000000−ii0000004-44-44i−4i-11000000-11000000−ii0000004-44-44i−4i-11000000-11000000−ii000000
χ284-44-4−4i4i-11000000-11000000i−i0000004-44-4−4i4i-11000000-11000000i−i0000004-44-4−4i4i-11000000-11000000i−i000000
χ2988-4-400-2-2000000110000000000000088-4-400-2-2000000110000000000000088-4-400-2-20000001100000000000000
χ308-8-4400-220000001-1000000000000008-8-4400-220000001-1000000000000008-8-4400-220000001-100000000000000
χ31111111111111111111111111111111−1+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
χ321111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+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
χ3311111111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ3411111111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ351111-1-11111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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
χ361111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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
χ371111-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ381111-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ391-11-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13i−i1-1ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5ζ14−ζ14−1+i321−i32−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13ζ22−ζ22−1−i321+i32−ζ13ζ13−ζ7ζ7
χ401-11-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13i−i1-1−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ14−ζ14−1+i321−i32ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ22−ζ22−1−i321+i32ζ13−ζ13ζ7−ζ7
χ411-11-1i−i1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23i−i-11−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23ζ14−ζ141−i32−1+i32ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7ζ22−ζ221+i32−1−i32ζ7−ζ7ζ13−ζ13
χ421-11-1i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ14−ζ141−i32−1+i32−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ22−ζ221+i32−1−i32−ζ7ζ7−ζ13ζ13
χ431-11-1−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ14ζ141−i32−1+i32ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ22ζ221+i32−1−i32ζ13−ζ13ζ7−ζ7
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χ4822-1-1002222-2-2-2-2-1-1-1-1111100000000−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ4922-1-10022-2-22i2i−2i−2i-1-111−i−iii00000000−1+i3−1+i31−i321−i3200−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ1400000000−1−i3−1−i31+i321+i3200−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ2200000000
χ5022-1-10022-2-2−2i−2i2i2i-1-111ii−i−i00000000−1+i3−1+i31−i321−i3200−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ1400000000−1−i3−1−i31+i321+i3200−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ2200000000
χ512-2-11002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1300000000−1+i31−i31−i32−1+i3200−1+i31−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ51−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ500000000−1−i31+i31+i32−1−i3200−1−i31+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ131+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ1300000000
χ522-2-11002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1300000000−1+i31−i31−i32−1+i3200−1+i31−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ51−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ500000000−1−i31+i31+i32−1−i3200−1−i31+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ131+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ1300000000
χ532-2-11002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2300000000−1+i31−i31−i32−1+i3200−1+i31−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ231−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ2300000000−1−i31+i31+i32−1−i3200−1−i31+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ71+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ700000000
χ542-2-11002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2300000000−1+i31−i31−i32−1+i3200−1+i31−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ2300000000−1−i31+i31+i32−1−i3200−1−i31+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ700000000
χ55444444-1-1000000-1-1000000-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i320000001−i321−i320000001−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i320000001+i321+i320000001+i321+i32000000
χ564444-4-4-1-1000000-1-100000011000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i320000001−i321−i32000000−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i320000001+i321+i32000000−1−i32−1−i32000000
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χ584-44-4−4i4i-11000000-11000000i−i000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i32−1+i320000001−i32−1+i32000000ζ14−ζ14000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i32−1−i320000001+i32−1−i32000000ζ22−ζ22000000
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χ608-8-4400-220000001-100000000000000−4+4i34−4i32−2i3−2+2i3001−i3−1+i3000000−1+i321−i3200000000000000−4−4i34+4i32+2i3−2−2i3001+i3−1−i3000000−1−i321+i3200000000000000
χ61111111111111111111111111111111−1−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
χ621111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−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
χ6311111111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14
χ6411111111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14
χ651111-1-11111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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
χ661111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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
χ671111-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ681111-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
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χ721-11-1i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ22−ζ221+i32−1−i32−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ14−ζ141−i32−1+i32−ζ23ζ23−ζ5ζ5
χ731-11-1−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ22ζ221+i32−1−i32ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ14ζ141−i32−1+i32ζ5−ζ5ζ23−ζ23
χ741-11-1−ii1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ii-11ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−ζ22ζ221+i32−1−i32−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−ζ14ζ141−i32−1+i32−ζ5ζ5−ζ23ζ23
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χ761-11-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ii1-1−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−ζ22ζ22−1−i321+i32ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−ζ14ζ14−1+i321−i32ζ23−ζ23ζ5−ζ5
χ7722-1-10022222222-1-1-1-1-1-1-1-100000000−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ7822-1-1002222-2-2-2-2-1-1-1-1111100000000−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ7922-1-10022-2-22i2i−2i−2i-1-111−i−iii00000000−1−i3−1−i31+i321+i3200−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ2200000000−1+i3−1+i31−i321−i3200−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ1400000000
χ8022-1-10022-2-2−2i−2i2i2i-1-111ii−i−i00000000−1−i3−1−i31+i321+i3200−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ2200000000−1+i3−1+i31−i321−i3200−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ1400000000
χ812-2-11002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1300000000−1−i31+i31+i32−1−i3200−1−i31+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ131+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ1300000000−1+i31−i31−i32−1+i3200−1+i31−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ51−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ500000000
χ822-2-11002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1300000000−1−i31+i31+i32−1−i3200−1−i31+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ131+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ1300000000−1+i31−i31−i32−1+i3200−1+i31−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ51−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ500000000
χ832-2-11002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2300000000−1−i31+i31+i32−1−i3200−1−i31+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ71+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ700000000−1+i31−i31−i32−1+i3200−1+i31−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ231−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ2300000000
χ842-2-11002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2300000000−1−i31+i31+i32−1−i3200−1−i31+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ700000000−1+i31−i31−i32−1+i3200−1+i31−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ2300000000
χ85444444-1-1000000-1-1000000-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i320000001+i321+i320000001+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i320000001−i321−i320000001−i321−i32000000
χ864444-4-4-1-1000000-1-100000011000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i320000001+i321+i32000000−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i320000001−i321−i32000000−1+i32−1+i32000000
χ874-44-44i−4i-11000000-11000000−ii000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i32−1−i320000001+i32−1−i32000000−ζ22ζ22000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i32−1+i320000001−i32−1+i32000000−ζ14ζ14000000
χ884-44-4−4i4i-11000000-11000000i−i000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i32−1−i320000001+i32−1−i32000000ζ22−ζ22000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i32−1+i320000001−i32−1+i32000000ζ14−ζ14000000
χ8988-4-400-2-20000001100000000000000−4−4i3−4−4i32+2i32+2i3001+i31+i3000000−1−i32−1−i3200000000000000−4+4i3−4+4i32−2i32−2i3001−i31−i3000000−1+i32−1+i3200000000000000
χ908-8-4400-220000001-100000000000000−4−4i34+4i32+2i3−2−2i3001+i3−1−i3000000−1−i321+i3200000000000000−4+4i34−4i32−2i3−2+2i3001−i3−1+i3000000−1+i321−i3200000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.