Finite Group Databasebeta

← Group #13147342

Character table — Group #13147342

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order122233666666441212121244121212124444121212121212121233666666448888888812121212242424242424242424242424242424241212121212121212121212122466888812122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii11−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111ii−i−i11iiii−i−i−i−i
χ9111111111111-1-1-1-1-1-11-111-1-111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11-11111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-111-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11-1111-1-111-1-111
χ11111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111-111i−i−ii-1-1ii−i−i−i−iii
χ12111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111-111−iii−i-1-1−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-11-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-11-11-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-11-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1111-11-1-1-111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-11-1-1−iii−i11−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-11-1-1i−i−ii11ii−i−i−i−iii
χ1722-2-22222-2-2-2-20000000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2-2-22200002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000000000
χ1822-2-22222-2-2-2-20000000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2-2-2220000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000000000
χ1922-2-22222-2-2-2-2000000000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2-2-2220000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000000000
χ2022-2-22222-2-2-2-2000000000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2-2-22200002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000000000
χ212-22-222-2-222-2-22i−2i2i2i−2i−2i0000002-22-222-2-222-2-222-2-222-2-22i−2i000000002i2i−2i−2i000000000000000000002i2i−2i−2i0000000000000000000000
χ222-22-222-2-222-2-22i−2i2i2i−2i−2i000000-22-22-2-222-2-22222-2-222-2-2−2i2i00000000−2i−2i2i2i000000000000000000002i2i−2i−2i0000000000000000000000
χ232-22-222-2-222-2-2−2i2i−2i−2i2i2i0000002-22-222-2-222-2-222-2-222-2-2−2i2i00000000−2i−2i2i2i00000000000000000000−2i−2i2i2i0000000000000000000000
χ242-22-222-2-222-2-2−2i2i−2i−2i2i2i000000-22-22-2-222-2-22222-2-222-2-22i−2i000000002i2i−2i−2i00000000000000000000−2i−2i2i2i0000000000000000000000
χ252-2-2222-2-2-2-2220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2222-2-2-2-2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000
χ262-2-2222-2-2-2-2220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2222-2-2-2-200−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ272-2-2222-2-2-2-222000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2222-2-2-2-200−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ282-2-2222-2-2-2-222000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000000000
χ293333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ2200000000000011−1−i32−1+i32ii−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ303333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ2200000000000011−1−i32−1+i32−i−iii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ313333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i32000000000000-1-11+i321−i3211111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000-1-11+i321−i32-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22000000000000-1-11+i321−i32−i−iii1+i321−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ343333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22000000000000-1-11+i321−i32ii−i−i1+i321−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ353333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i3200000000000011−1−i32−1+i32-1-1-1-1−1−i32−1+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ363333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000011−1−i32−1+i321111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ373333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1ii−i−i−i−iii1+i321−i321+i321−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000000000-111+i321−i32i−i−ii−1−i32−1+i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
χ383333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1−i−iiiii−i−i1+i321−i321+i321−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000000000-111+i321−i32−iii−i−1−i32−1+i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ393333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001111-1-111-1-1−1−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+i320000000000001-1−1−i32−1+i321-11-11+i321−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ403333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000011-1-111-1-111−1−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−i320000000000001-1−1−i32−1+i32-11-111+i321−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ413333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1ii−i−i−i−iii1+i321−i321+i321−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000000000001-1−1−i32−1+i32−iii−i1+i321−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ423333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1−i−iiiii−i−i1+i321−i321+i321−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000000000001-1−1−i32−1+i32i−i−ii1+i321−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
χ433333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001111-1-111-1-1−1−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+i32000000000000-111+i321−i32-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ443333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000011-1-111-1-111−1−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−i32000000000000-111+i321−i321-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ453333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ1400000000000011−1+i32−1−i32ii−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
χ463333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ1400000000000011−1+i32−1−i32−i−iii−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
χ473333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1111111111−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+i32000000000000-1-11−i321+i3211111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ483333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000000-1-11−i321+i32-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ493333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14000000000000-1-11−i321+i32−i−iii1−i321+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
χ503333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14000000000000-1-11−i321+i32ii−i−i1−i321+i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
χ513333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1111111111−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+i3200000000000011−1+i32−1−i32-1-1-1-1−1+i32−1−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ523333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000011−1+i32−1−i321111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ533333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-1ii−i−i−i−iii1−i321+i321−i321+i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000000000-111−i321+i32i−i−ii−1+i32−1−i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ543333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-1−i−iiiii−i−i1−i321+i321−i321+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000000000-111−i321+i32−iii−i−1+i32−1−i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ553333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001111-1-111-1-1−1+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−i320000000000001-1−1+i32−1−i321-11-11−i321+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ563333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000011-1-111-1-111−1+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+i320000000000001-1−1+i32−1−i32-11-111−i321+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ573333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-1ii−i−i−i−iii1−i321+i321−i321+i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000000000001-1−1+i32−1−i32−iii−i1−i321+i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ583333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-1−i−iiiii−i−i1−i321+i321−i321+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000000000001-1−1+i32−1−i32i−i−ii1−i321+i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ593333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001111-1-111-1-1−1+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−i32000000000000-111−i321+i32-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ603333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000011-1-111-1-111−1+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+i32000000000000-111−i321+i321-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ614444444444444444444444440000000000001-21-21-21-200000000000000000000000000000011-2-21-21-211-2-2000000000000000000
χ62444444444444444444444444000000000000-21-21-21-21000000000000000000000000000000-2-211-21-21-2-211000000000000000000
χ63444444444444444444-4-4-4-4-4-40000000000001-21-21-21-2000000000000000000000000000000-1-1221-21-2-1-122000000000000000000
χ64444444444444444444-4-4-4-4-4-4000000000000-21-21-21-2100000000000000000000000000000022-1-1-21-2122-1-1000000000000000000
χ65444444444444-4-4-4-4-4-44-444-4-40000000000001-21-21-21-2000000000000000000000000000000-1-122-12-1211-2-2000000000000000000
χ66444444444444-4-4-4-4-4-44-444-4-4000000000000-21-21-21-2100000000000000000000000000000022-1-12-12-1-2-211000000000000000000
χ67444444444444-4-4-4-4-4-4-44-4-4440000000000001-21-21-21-200000000000000000000000000000011-2-2-12-12-1-122000000000000000000
χ68444444444444-4-4-4-4-4-4-44-4-444000000000000-21-21-21-21000000000000000000000000000000-2-2112-12-122-1-1000000000000000000
χ694-44-444-4-444-4-44i−4i4i4i−4i−4i0000000000000000001-2-121-2-120000000000000000000000000000003-300i−2i−i2i3i−3i00000000000000000000
χ704-44-444-4-444-4-44i−4i4i4i−4i−4i0000000000000000001-2-121-2-12000000000000000000000000000000-3300i−2i−i2i−3i3i00000000000000000000
χ714-44-444-4-444-4-44i−4i4i4i−4i−4i000000000000000000-212-1-212-1000000000000000000000000000000003-3−2ii2i−i003i−3i000000000000000000
χ724-44-444-4-444-4-44i−4i4i4i−4i−4i000000000000000000-212-1-212-100000000000000000000000000000000-33−2ii2i−i00−3i3i000000000000000000
χ734-44-444-4-444-4-4−4i4i−4i−4i4i4i0000000000000000001-2-121-2-120000000000000000000000000000003-300−i2ii−2i−3i3i00000000000000000000
χ744-44-444-4-444-4-4−4i4i−4i−4i4i4i0000000000000000001-2-121-2-12000000000000000000000000000000-3300−i2ii−2i3i−3i00000000000000000000
χ754-44-444-4-444-4-4−4i4i−4i−4i4i4i000000000000000000-212-1-212-1000000000000000000000000000000003-32i−i−2ii00−3i3i000000000000000000
χ764-44-444-4-444-4-4−4i4i−4i−4i4i4i000000000000000000-212-1-212-100000000000000000000000000000000-332i−i−2ii003i−3i000000000000000000
χ7766-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000002i2i−2i−2i2ζ222ζ142ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ14000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000002ζ52ζ13−2ζ5−2ζ130000−2ζ23−2ζ72ζ232ζ7000000000000000000000000000000
χ7866-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000002i2i−2i−2i2ζ222ζ142ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ140000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ5−2ζ132ζ52ζ1300002ζ232ζ7−2ζ23−2ζ7000000000000000000000000000000
χ7966-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000−2i−2i2i2i−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ142ζ222ζ140000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ23−2ζ72ζ232ζ700002ζ52ζ13−2ζ5−2ζ13000000000000000000000000000000
χ8066-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000−2i−2i2i2i−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ142ζ222ζ14000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000002ζ232ζ7−2ζ23−2ζ70000−2ζ5−2ζ132ζ52ζ13000000000000000000000000000000
χ8166-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000002i2i−2i−2i2ζ142ζ222ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ22000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000002ζ132ζ5−2ζ13−2ζ50000−2ζ7−2ζ232ζ72ζ23000000000000000000000000000000
χ8266-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000002i2i−2i−2i2ζ142ζ222ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ220000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ13−2ζ52ζ132ζ500002ζ72ζ23−2ζ7−2ζ23000000000000000000000000000000
χ8366-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000−2i−2i2i2i−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ222ζ142ζ220000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ7−2ζ232ζ72ζ2300002ζ132ζ5−2ζ13−2ζ5000000000000000000000000000000
χ8466-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000−2i−2i2i2i−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ222ζ142ζ22000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000002ζ72ζ23−2ζ7−2ζ230000−2ζ13−2ζ52ζ132ζ5000000000000000000000000000000
χ856-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36i−6i6ζ226ζ14−6ζ22−6ζ140000002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3000000002i−2i000000002ζ222ζ14−2ζ22−2ζ140000000000000000000000000000000000000000000000
χ866-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36i−6i6ζ226ζ14−6ζ22−6ζ14000000-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i300000000−2i2i00000000−2ζ22−2ζ142ζ222ζ140000000000000000000000000000000000000000000000
χ876-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6i6i−6ζ22−6ζ146ζ226ζ140000002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300000000−2i2i00000000−2ζ22−2ζ142ζ222ζ140000000000000000000000000000000000000000000000
χ886-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6i6i−6ζ22−6ζ146ζ226ζ14000000-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000002i−2i000000002ζ222ζ14−2ζ22−2ζ140000000000000000000000000000000000000000000000
χ896-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36i−6i6ζ146ζ22−6ζ14−6ζ220000002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3000000002i−2i000000002ζ142ζ22−2ζ14−2ζ220000000000000000000000000000000000000000000000
χ906-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36i−6i6ζ146ζ22−6ζ14−6ζ22000000-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i300000000−2i2i00000000−2ζ14−2ζ222ζ142ζ220000000000000000000000000000000000000000000000
χ916-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6i6i−6ζ14−6ζ226ζ146ζ220000002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300000000−2i2i00000000−2ζ14−2ζ222ζ142ζ220000000000000000000000000000000000000000000000
χ926-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6i6i−6ζ14−6ζ226ζ146ζ22000000-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000002i−2i000000002ζ142ζ22−2ζ14−2ζ220000000000000000000000000000000000000000000000
χ936-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000002i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ140000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000002ζ52ζ13−2ζ5−2ζ130000−2ζ23−2ζ72ζ232ζ70000000000000000000000000000000000
χ946-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000002i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ1400000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000−2ζ5−2ζ132ζ52ζ1300002ζ232ζ7−2ζ23−2ζ70000000000000000000000000000000000
χ956-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ1400000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000−2ζ23−2ζ72ζ232ζ700002ζ52ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ966-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ140000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000002ζ232ζ7−2ζ23−2ζ70000−2ζ5−2ζ132ζ52ζ130000000000000000000000000000000000
χ976-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000002i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ220000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000002ζ132ζ5−2ζ13−2ζ50000−2ζ7−2ζ232ζ72ζ230000000000000000000000000000000000
χ986-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000002i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ2200000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000−2ζ13−2ζ52ζ132ζ500002ζ72ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ996-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ2200000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000−2ζ7−2ζ232ζ72ζ2300002ζ132ζ5−2ζ13−2ζ50000000000000000000000000000000000
χ1006-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ220000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000002ζ72ζ23−2ζ7−2ζ230000−2ζ13−2ζ52ζ132ζ50000000000000000000000000000000000
χ10188-8-88888-8-8-8-80000000000000000000000002-4-24-242-4000000000000000000000000000000000000000000000000000000000000
χ10288-8-88888-8-8-8-8000000000000000000000000-424-24-2-42000000000000000000000000000000000000000000000000000000000000
χ1038-8-8888-8-8-8-8880000000000000000000000002-42-4-24-24000000000000000000000000000000000000000000000000000000000000
χ1048-8-8888-8-8-8-888000000000000000000000000-42-424-24-2000000000000000000000000000000000000000000000000000000000000

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