Finite Group Databasebeta

← Group #11921353

Character table — Group #11921353

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222266666666333333336666666666666666666618181818181818184444444488888888888888888888242424242424242444444444888888888888888888882424242424242424
order122244442234466666661212121212121212888888882222444422644666666612121212121212128888888836661212121266312126666666121212121212121224242424242424243666121212126631212666666612121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1
χ411111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ61111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ71111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii
χ81111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i
χ911-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1011-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i1-11i−i1-111-1-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1111-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1211-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i-111−ii1-1-1-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1411-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii1-11−ii1-111-1-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1511-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1611-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii-111i−i1-1-1-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ172222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222222-2-2-1-2-2-1-11111-1-1-1-1-111110000000022222222-2-2-1-2-2-1-11111-1-1-1-1-111110000000022222222-2-2-1-2-2-1-11111-1-1-1-1-111110000000022222222-2-2-1-2-2-1-11111-1-1-1-1-1111100000000
χ192222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111100000000
χ202222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-100000000
χ2122-2-22i2i−2i−2i2-2-12i−2i-11-1-1111−i−iii−i−iii0000000022-2-22i2i−2i−2i2-2-12i−2i-11-1-1111−i−iii−i−iii0000000022-2-22i2i−2i−2i2-2-12i−2i-11-1-1111−i−iii−i−iii0000000022-2-22i2i−2i−2i2-2-12i−2i-11-1-1111−i−iii−i−iii00000000
χ2222-2-22i2i−2i−2i-22-1−2i2i-1111-1-11−i−iiiii−i−i0000000022-2-22i2i−2i−2i-22-1−2i2i-1111-1-11−i−iiiii−i−i0000000022-2-22i2i−2i−2i-22-1−2i2i-1111-1-11−i−iiiii−i−i0000000022-2-22i2i−2i−2i-22-1−2i2i-1111-1-11−i−iiiii−i−i00000000
χ2322-2-2−2i−2i2i2i2-2-1−2i2i-11-1-1111ii−i−iii−i−i0000000022-2-2−2i−2i2i2i2-2-1−2i2i-11-1-1111ii−i−iii−i−i0000000022-2-2−2i−2i2i2i2-2-1−2i2i-11-1-1111ii−i−iii−i−i0000000022-2-2−2i−2i2i2i2-2-1−2i2i-11-1-1111ii−i−iii−i−i00000000
χ2422-2-2−2i−2i2i2i-22-12i−2i-1111-1-11ii−i−i−i−iii0000000022-2-2−2i−2i2i2i-22-12i−2i-1111-1-11ii−i−i−i−iii0000000022-2-2−2i−2i2i2i-22-12i−2i-1111-1-11ii−i−i−i−iii0000000022-2-2−2i−2i2i2i-22-12i−2i-1111-1-11ii−i−i−i−iii00000000
χ252-22-22i−2i2i−2i00200-220000-22i−2i2i−2i0000000000002-22-22i−2i2i−2i00200-220000-22i−2i2i−2i0000000000002-22-22i−2i2i−2i00200-220000-22i−2i2i−2i0000000000002-22-22i−2i2i−2i00200-220000-22i−2i2i−2i000000000000
χ262-22-22i−2i2i−2i00-1001-1−i3i3−i3i31−ii−ii3−33−3000000002-22-22i−2i2i−2i00-1001-1−i3i3−i3i31−ii−ii3−33−3000000002-22-22i−2i2i−2i00-1001-1−i3i3−i3i31−ii−ii3−33−3000000002-22-22i−2i2i−2i00-1001-1−i3i3−i3i31−ii−ii3−33−300000000
χ272-22-22i−2i2i−2i00-1001-1i3−i3i3−i31−ii−ii−33−33000000002-22-22i−2i2i−2i00-1001-1i3−i3i3−i31−ii−ii−33−33000000002-22-22i−2i2i−2i00-1001-1i3−i3i3−i31−ii−ii−33−33000000002-22-22i−2i2i−2i00-1001-1i3−i3i3−i31−ii−ii−33−3300000000
χ282-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i000000000000
χ292-22-2−2i2i−2i2i00-1001-1−i3i3−i3i31i−ii−i−33−33000000002-22-2−2i2i−2i2i00-1001-1−i3i3−i3i31i−ii−i−33−33000000002-22-2−2i2i−2i2i00-1001-1−i3i3−i3i31i−ii−i−33−33000000002-22-2−2i2i−2i2i00-1001-1−i3i3−i3i31i−ii−i−33−3300000000
χ302-22-2−2i2i−2i2i00-1001-1i3−i3i3−i31i−ii−i3−33−3000000002-22-2−2i2i−2i2i00-1001-1i3−i3i3−i31i−ii−i3−33−3000000002-22-2−2i2i−2i2i00-1001-1i3−i3i3−i31i−ii−i3−33−3000000002-22-2−2i2i−2i2i00-1001-1i3−i3i3−i31i−ii−i3−33−300000000
χ312-2-222-2-2200200-2-2000022-2-220000000000002-2-222-2-2200200-2-2000022-2-220000000000002-2-222-2-2200200-2-2000022-2-220000000000002-2-222-2-2200200-2-2000022-2-22000000000000
χ322-2-222-2-2200-10011−i3i3i3−i3-1-111-1−i3i3i3−i3000000002-2-222-2-2200-10011−i3i3i3−i3-1-111-1−i3i3i3−i3000000002-2-222-2-2200-10011−i3i3i3−i3-1-111-1−i3i3i3−i3000000002-2-222-2-2200-10011−i3i3i3−i3-1-111-1−i3i3i3−i300000000
χ332-2-222-2-2200-10011i3−i3−i3i3-1-111-1i3−i3−i3i3000000002-2-222-2-2200-10011i3−i3−i3i3-1-111-1i3−i3−i3i3000000002-2-222-2-2200-10011i3−i3−i3i3-1-111-1i3−i3−i3i3000000002-2-222-2-2200-10011i3−i3−i3i3-1-111-1i3−i3−i3i300000000
χ342-2-22-222-200200-2-200002-222-20000000000002-2-22-222-200200-2-200002-222-20000000000002-2-22-222-200200-2-200002-222-20000000000002-2-22-222-200200-2-200002-222-2000000000000
χ352-2-22-222-200-10011−i3i3i3−i3-11-1-11i3−i3−i3i3000000002-2-22-222-200-10011−i3i3i3−i3-11-1-11i3−i3−i3i3000000002-2-22-222-200-10011−i3i3i3−i3-11-1-11i3−i3−i3i3000000002-2-22-222-200-10011−i3i3i3−i3-11-1-11i3−i3−i3i300000000
χ362-2-22-222-200-10011i3−i3−i3i3-11-1-11−i3i3i3−i3000000002-2-22-222-200-10011i3−i3−i3i3-11-1-11−i3i3i3−i3000000002-2-22-222-200-10011i3−i3−i3i3-11-1-11−i3i3i3−i3000000002-2-22-222-200-10011i3−i3−i3i3-11-1-11−i3i3i3−i300000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1−1+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
χ3911111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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
χ4011111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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
χ411111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ421111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ431111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ441111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
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χ532222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
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χ552222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ562222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
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χ771111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ781111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ791111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ801111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.