Finite Group Databasebeta

← Group #11857360

Character table — Group #11857360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424243333333366666666666612121212121212121212121212121212181818181818181836363636
order122244442234466612121212668888121224242424242424242222444488883666121212126631212666121212126624242424121224242424242424246666121212122424242422224444226446661212121266888812122424242424242424222244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ611111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ711111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ811111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i1111-1-1-1-1i−ii−i1111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i1111-1-1-1-1i−ii−i1111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i1111-1-1-1-1i−ii−i
χ101111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i-1-1-1-11111−ii−ii1111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i-1-1-1-11111−ii−ii1111-1-1-1-1111-1-1111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i-1-1-1-11111−ii−ii
χ111111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii1111-1-1-1-1−ii−ii1111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii1111-1-1-1-1−ii−ii1111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii1111-1-1-1-1−ii−ii
χ121111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii-1-1-1-11111i−ii−i1111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii-1-1-1-11111i−ii−i1111-1-1-1-1111-1-1111-1-1-1-111−ii−ii-1-1−i−iii−i−iii-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-1-1-111i−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-1-1-111i−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-1-1-111i−i−ii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii-1-11111-1-1−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii-1-11111-1-1−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii-1-11111-1-1−iii−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11-1-1-1-111−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11-1-1-1-111−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11-1-1-1-111−iii−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i-1-11111-1-1i−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i-1-11111-1-1i−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i-1-11111-1-1i−i−ii
χ172222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000
χ1922222222-2-2-1-2-2-1-1-1-1-1-1-11122-2-211-1-1-1-1111100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-11122-2-211-1-1-1-1111100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-11122-2-211-1-1-1-11111000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-111-2-222111111-1-1-1-100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111-2-222111111-1-1-1-100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111-2-222111111-1-1-1-1000000000000
χ212222-2-2-2-222-1-2-2-1-1-11111-1-12i−2i2i−2i11−i−iii−i−iii0000000000002222-2-2-2-222-1-2-2-1-1-11111-1-12i−2i2i−2i11−i−iii−i−iii0000000000002222-2-2-2-222-1-2-2-1-1-11111-1-12i−2i2i−2i11−i−iii−i−iii000000000000
χ222222-2-2-2-222-1-2-2-1-1-11111-1-1−2i2i−2i2i11ii−i−iii−i−i0000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1−2i2i−2i2i11ii−i−iii−i−i0000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1−2i2i−2i2i11ii−i−iii−i−i000000000000
χ232222-2-2-2-2-2-2-122-1-1-11111112i−2i−2i2i-1-1−i−iiiii−i−i0000000000002222-2-2-2-2-2-2-122-1-1-11111112i−2i−2i2i-1-1−i−iiiii−i−i0000000000002222-2-2-2-2-2-2-122-1-1-11111112i−2i−2i2i-1-1−i−iiiii−i−i000000000000
χ242222-2-2-2-2-2-2-122-1-1-1111111−2i2i2i−2i-1-1ii−i−i−i−iii0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i2i2i−2i-1-1ii−i−i−i−iii0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i2i2i−2i-1-1ii−i−i−i−iii000000000000
χ2522-2-22i2i−2i−2i002002-2-22i2i−2i−2i0000000000000000002-2002i−2i000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i0000000000000000002-2002i−2i000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i0000000000000000002-2002i−2i0000
χ2622-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000-2200−2i2i000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000-2200−2i2i000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000-2200−2i2i0000
χ2722-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i0000000000000000002-200−2i2i000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i0000000000000000002-200−2i2i000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i0000000000000000002-200−2i2i0000
χ2822-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000-22002i−2i000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000-22002i−2i000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000-22002i−2i0000
χ292-22-22i−2i2i−2i2-222i−2i-22-22i−2i2i−2i2-200002i−2i000000000000000000002-22-22i−2i2i−2i2-222i−2i-22-22i−2i2i−2i2-200002i−2i000000000000000000002-22-22i−2i2i−2i2-222i−2i-22-22i−2i2i−2i2-200002i−2i00000000000000000000
χ302-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000002-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000002-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000
χ312-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000002-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000002-22-22i−2i2i−2i2-2-12i−2i1-11−ii−ii-110000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000
χ322-22-22i−2i2i−2i-222−2i2i-22-22i−2i2i−2i-220000−2i2i000000000000000000002-22-22i−2i2i−2i-222−2i2i-22-22i−2i2i−2i-220000−2i2i000000000000000000002-22-22i−2i2i−2i-222−2i2i-22-22i−2i2i−2i-220000−2i2i00000000000000000000
χ332-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000002-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000002-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000
χ342-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000002-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000002-22-22i−2i2i−2i-22-1−2i2i1-11−ii−ii1-10000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000
χ352-22-2−2i2i−2i2i2-22−2i2i-22-2−2i2i−2i2i2-20000−2i2i000000000000000000002-22-2−2i2i−2i2i2-22−2i2i-22-2−2i2i−2i2i2-20000−2i2i000000000000000000002-22-2−2i2i−2i2i2-22−2i2i-22-2−2i2i−2i2i2-20000−2i2i00000000000000000000
χ362-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000002-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000002-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000
χ372-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000002-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000002-22-2−2i2i−2i2i2-2-1−2i2i1-11i−ii−i-110000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000
χ382-22-2−2i2i−2i2i-2222i−2i-22-2−2i2i−2i2i-2200002i−2i000000000000000000002-22-2−2i2i−2i2i-2222i−2i-22-2−2i2i−2i2i-2200002i−2i000000000000000000002-22-2−2i2i−2i2i-2222i−2i-22-2−2i2i−2i2i-2200002i−2i00000000000000000000
χ392-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000002-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000002-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000
χ402-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000002-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000002-22-2−2i2i−2i2i-22-12i−2i1-11i−ii−i1-10000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000
χ412-2-222-2-2200200-2-222-2-2200000000000000002-2002-20000002-2-222-2-2200200-2-222-2-2200000000000000002-2002-20000002-2-222-2-2200200-2-222-2-2200000000000000002-2002-2000000
χ422-2-222-2-2200200-2-222-2-220000000000000000-2200-220000002-2-222-2-2200200-2-222-2-220000000000000000-2200-220000002-2-222-2-2200200-2-222-2-220000000000000000-2200-22000000
χ432-2-22-222-200200-2-22-222-200000000000000002-200-220000002-2-22-222-200200-2-22-222-200000000000000002-200-220000002-2-22-222-200200-2-22-222-200000000000000002-200-22000000
χ442-2-22-222-200200-2-22-222-20000000000000000-22002-20000002-2-22-222-200200-2-22-222-20000000000000000-22002-20000002-2-22-222-200200-2-22-222-20000000000000000-22002-2000000
χ4544-4-44i4i−4i−4i00-200-222−2i−2i2i2i000000000000000000000000000044-4-44i4i−4i−4i00-200-222−2i−2i2i2i000000000000000000000000000044-4-44i4i−4i−4i00-200-222−2i−2i2i2i0000000000000000000000000000
χ4644-4-4−4i−4i4i4i00-200-2222i2i−2i−2i000000000000000000000000000044-4-4−4i−4i4i4i00-200-2222i2i−2i−2i000000000000000000000000000044-4-4−4i−4i4i4i00-200-2222i2i−2i−2i0000000000000000000000000000
χ474-4-444-4-4400-20022-2-222-200000000000000000000000000004-4-444-4-4400-20022-2-222-200000000000000000000000000004-4-444-4-4400-20022-2-222-20000000000000000000000000000
χ484-4-44-444-400-20022-22-2-2200000000000000000000000000004-4-44-444-400-20022-22-2-2200000000000000000000000000004-4-44-444-400-20022-22-2-220000000000000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
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χ521111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.