Finite Group Databasebeta

← Group #11776196

Character table — Group #11776196

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12224444223344444466666612121212121212121212121212121212344666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242424242424242424244444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i
χ611111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111−i−i−i−iiiii
χ711111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii
χ811111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111iiii−i−i−i−i
χ91111-1-1-1-11111-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-11111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-11111-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-11111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-11111-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-11111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-11111-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-11111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2222222222222222-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-1222222222-1-1-12222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ1922222222222-1222222222-1-1-12222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2022222222222-12-2-2-2-22222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1111111111111-1-1-1-111111111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2122222222222-12-2-2-2-22222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1111111111111-1-1-1-111111111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ222222222222-12222222-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ232222222222-12222222-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ242222222222-122-2-2-2-22-1-1-1222-1-1-1-1222211111111-1-2-2-1-122-1-1-1-1-1-1-11111-1-122-2-2-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ252222222222-122-2-2-2-22-1-1-1222-1-1-1-1222211111111-1-2-2-1-122-1-1-1-1-1-1-11111-1-122-2-2-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ2622222222-2-222-22222-222222222222222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2722222222-2-22-1-22222-2222-1-1-12222-1-1-1-122222222-1-2-2-2-2111111-1-1-1-2-2-2-2-2-2111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ2822222222-2-22-1-22222-2222-1-1-12222-1-1-1-122222222-1-2-2-2-2111111-1-1-1-2-2-2-2-2-2111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2922222222-2-22-1-2-2-2-2-2-2222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2111111-1-1-12222-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3022222222-2-22-1-2-2-2-2-2-2222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2111111-1-1-12222-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3122222222-2-2-12-22222-2-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-211-2-21111-1-1-1111111-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3222222222-2-2-12-22222-2-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-211-2-21111-1-1-1111111-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3322222222-2-2-12-2-2-2-2-2-2-1-1-1222-1-1-1-1222211111111-12211-2-21111-1-1-1-1-1-1-111-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ3422222222-2-2-12-2-2-2-2-2-2-1-1-1222-1-1-1-1222211111111-12211-2-21111-1-1-1-1-1-1-111-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ352222-2-2-2-22222-2-2-222-2222222-2-2-2-2-2-2-2-2-2-2-2-222222-2222222222222-2-222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ362222-2-2-2-2222-1-222-2-2-2222-1-1-1-2-2-2-211112222-2-2-2-2-12-222-1-1-1-1-1-1-1-1-122-2-2-2-211-1-111-1-111-1-1-1-111111111-1-1-1-1111111110000000000000000000000002-22-2-1-111-1-11100000000
χ372222-2-2-2-2222-1-222-2-2-2222-1-1-1-2-2-2-211112222-2-2-2-2-12-222-1-1-1-1-1-1-1-1-122-2-2-2-211-1-111-1-111-1-1-1-111111111-1-1-1-111111111000000000000000000000000-22-2211-1-111-1-100000000
χ382222-2-2-2-2222-1-2-2-222-2222-1-1-1-2-2-2-21111-2-2-2-22222-1-2222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-111-1-111111111-1-1-1-111111111-1-1-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ392222-2-2-2-2222-1-2-2-222-2222-1-1-1-2-2-2-21111-2-2-2-22222-1-2222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-111-1-111111111-1-1-1-111111111-1-1-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ402222-2-2-2-222-12-222-2-2-2-1-1-12221111-2-2-2-2-1-1-1-11111-12-2-1-122-1-1-1-1-1-1-1-1-11111-2-222-2-222-2-2-1-1-1-111111111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ412222-2-2-2-222-12-222-2-2-2-1-1-12221111-2-2-2-2-1-1-1-11111-12-2-1-122-1-1-1-1-1-1-1-1-11111-2-222-2-222-2-2-1-1-1-111111111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ422222-2-2-2-222-12-2-2-222-2-1-1-12221111-2-2-2-21111-1-1-1-1-1-22-1-122-1-1-1-1-1-1-111-1-111-2-2-2-222-2-22211111111-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ432222-2-2-2-222-12-2-2-222-2-1-1-12221111-2-2-2-21111-1-1-1-1-1-22-1-122-1-1-1-1-1-1-111-1-111-2-2-2-222-2-22211111111-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ442222-2-2-2-2-2-222222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-22-22-2-2-2-2-2-2-2-2222-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-200000000000000000000000000000000000000000000
χ452222-2-2-2-2-2-22-1222-2-22222-1-1-1-2-2-2-211112222-2-2-2-2-1-22-2-2111111-1-1-1-2-22222-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ462222-2-2-2-2-2-22-1222-2-22222-1-1-1-2-2-2-211112222-2-2-2-2-1-22-2-2111111-1-1-1-2-22222-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ472222-2-2-2-2-2-22-12-2-2222222-1-1-1-2-2-2-21111-2-2-2-22222-12-2-2-2111111-1-1-122-2-222-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002-2-22-1-11111-1-100000000
χ482222-2-2-2-2-2-22-12-2-2222222-1-1-1-2-2-2-21111-2-2-2-22222-12-2-2-2111111-1-1-122-2-222-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000-222-211-1-1-1-11100000000
χ492222-2-2-2-2-2-2-12222-2-22-1-1-12221111-2-2-2-2-1-1-1-11111-1-2211-2-21111-1-1-111-1-1-1-122-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−300000000000000000000
χ502222-2-2-2-2-2-2-12222-2-22-1-1-12221111-2-2-2-2-1-1-1-11111-1-2211-2-21111-1-1-111-1-1-1-122-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−33300000000000000000000
χ512222-2-2-2-2-2-2-122-2-2222-1-1-12221111-2-2-2-21111-1-1-1-1-12-211-2-21111-1-1-1-1-111-1-12222-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ522222-2-2-2-2-2-2-122-2-2222-1-1-12221111-2-2-2-21111-1-1-1-1-12-211-2-21111-1-1-1-1-111-1-12222-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ5322-2-222-2-22-22220000-22-2-22-2-222-2-222-2-2000000002002-22-222-2-22-2-200002-22-200000000000022-2-20000000022-2-200002−22−22−22−22−22−22−22−22−22−22−22−200000000000000000000
χ5422-2-222-2-22-22220000-22-2-22-2-222-2-222-2-2000000002002-22-222-2-22-2-200002-22-200000000000022-2-20000000022-2-20000−22−22−22−22−22−22−22−22−22−22−22−2200000000000000000000
χ5522-2-222-2-22-2-1220000-2-1112-2-2-1-11122-2-233−3−333−3−3-100-112-2-1-111-1113−33−3-112-20000000033−3−3-1-11133−3−333−3−3-1-11133−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
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χ1214-4-444i−4i−4i4i0044000000-4-44-4-444i−4i−4i4i4i−4i−4i4i0000000040000000000-4-44000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
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χ1264-4-444i−4i−4i4i00-2-200000022-222-2−2i2i2i−2i−2i2i2i−2i−2i32i32i3−2i3−232323−2310000003-3-33-1-11000000002i3−2i3−23230000−i3i3i3−i3i−i−ii−333−3i3−i3−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000000000000000
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χ1294-4-444i−4i−4i4i00-2-200000022-222-2−2i2i2i−2i−2i2i2i−2i2i3−2i3−2i32i323−23−23231000000-333-3-1-11000000002i3−2i3−23230000−i3i3i3−i3i−i−ii−333−3−i3i3i3−i3−3i3i3i−3i−333−300000000000000000000000000000000000000000000
χ1304-4-44−4i4i4i−4i0044000000-4-44-4-44−4i4i4i−4i−4i4i4i−4i0000000040000000000-4-4400000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1314-4-44−4i4i4i−4i004-2000000-4-4422-2−4i4i4i−4i2i−2i−2i2i00000000-2000000000022-200000000−2i32i3−23230000−2i32i32i3−2i32i−2i−2i2i23−23−232300000000000000000000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i004-2000000-4-4422-2−4i4i4i−4i2i−2i−2i2i00000000-2000000000022-2000000002i3−2i323−2300002i3−2i3−2i32i32i−2i−2i2i−232323−2300000000000000000000000000000000000000000000000000000000
χ1334-4-44−4i4i4i−4i00-2400000022-2-4-442i−2i−2i2i−4i4i4i−4i−2i32i32i3−2i323−23−2323-2000000000022-2000000000000000000002i−2i−2i2i0000−2i32i32i3−2i3000023−23−232300000000000000000000000000000000000000000000
χ1344-4-44−4i4i4i−4i00-2400000022-2-4-442i−2i−2i2i−4i4i4i−4i2i3−2i3−2i32i3−232323−23-2000000000022-2000000000000000000002i−2i−2i2i00002i3−2i3−2i32i30000−232323−2300000000000000000000000000000000000000000000
χ1354-4-44−4i4i4i−4i00-2-200000022-222-22i−2i−2i2i2i−2i−2i2i−2i32i32i3−2i323−23−232310000003-3-33-1-11000000002i3−2i323−230000−i3i3i3−i3−iii−i3−3−33i3−i3−i3i3−3i3i3i−3i−333−300000000000000000000000000000000000000000000
χ1364-4-44−4i4i4i−4i00-2-200000022-222-22i−2i−2i2i2i−2i−2i2i−2i32i32i3−2i323−23−23231000000-333-3-1-1100000000−2i32i3−23230000i3−i3−i3i3−iii−i−333−3i3−i3−i3i33i−3i−3i3i−333−300000000000000000000000000000000000000000000
χ1374-4-44−4i4i4i−4i00-2-200000022-222-22i−2i−2i2i2i−2i−2i2i2i3−2i3−2i32i3−232323−2310000003-3-33-1-1100000000−2i32i3−23230000i3−i3−i3i3−iii−i−333−3−i3i3i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000000000
χ1384-4-44−4i4i4i−4i00-2-200000022-222-22i−2i−2i2i2i−2i−2i2i2i3−2i3−2i32i3−232323−231000000-333-3-1-11000000002i3−2i323−230000−i3i3i3−i3−iii−i3−3−33−i3i3i3−i33i−3i−3i3i3−3−3300000000000000000000000000000000000000000000

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