Finite Group Databasebeta

← Group #11887409

Character table — Group #11887409

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222244444444444444444444444444444446666666666668888888888888881212121212121212121212121212121212121212121212122424242424242424243636727272
order122222334444446666661212121223446666666661212121212121212121212121212121212128888242424242424242466666121212121212121212124488888812121212242424242424242424242424244661212121222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111-1-1-1-1111111111111-11-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111111111111111-111-1-11-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111111-1-1
χ611111111-1-1-1-1111111111111-11-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111111111111111-111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-111
χ711111111-1-1-1-1111111111111-11-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-11111-1-11111111111-1-1-1-11111-1-11-1-1-1-111-1-1-111
χ811111111-1-1-1-1111111111111-11-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-11111-1-1111-1-1
χ91111-1-11111-1-111111111111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-111-11-1
χ101111-1-11111-1-111111111111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-111-1-11-11
χ111111-1-11111-1-111111111111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-11-1-1-111-1-1-1-11-11
χ121111-1-11111-1-111111111111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1111-1-11111-11-1
χ131111-1-111-1-111111111111111-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ141111-1-111-1-111111111111111-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1
χ151111-1-111-1-111111111111111-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1
χ161111-1-111-1-111111111111111-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1111111-1-11
χ17222222222222-2-2222222-2-2-2-2-22-2-222-2-22222222-2-2-2-2-2-2222222-2-2-2-2000000000000-222-2-2-2-222-2-2-2-22200000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222-2-2-2-2222-2222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022222-22-2-222-2-2-2-200000000000000000000000000000000000000
χ192222222-1222222222-1-1-122222-1222222-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1000000000000222-1-1-1-1-1-100000
χ202222222-1222222222-1-1-122222-1222222-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111000000000000-2-2-211111100000
χ212222222-12222-2-2222-1-1-1-2-2-2-2-2-1-2-222-2-2-1-1-1-1-122-2-211-2-222-1-1-1-111110000000000001-1-11111-1-11111-1-100000000−i3−i3i3i3000000000000000−i3i3−i3i3−i3i300000
χ222222222-12222-2-2222-1-1-1-2-2-2-2-2-1-2-222-2-2-1-1-1-1-122-2-211-2-222-1-1-1-111110000000000001-1-11111-1-11111-1-100000000i3i3−i3−i3000000000000000i3−i3i3−i3i3−i300000
χ232222222-1-2-2-2-222222-1-1-12222-2-1-2222-2-2-1-1-1-1-1-2-2-2-2-1-122-2-21111-1-1-1-10000000000001-1-111-111111-1-11122000000-1-1-1-1000000000000-2-221111-1-100000
χ242222222-1-2-2-2-222222-1-1-12222-2-1-2222-2-2-1-1-1-1-1-2-2-2-2-1-122-2-21111-1-1-1-10000000000001-1-111-111111-1-111-2-2000000111100000000000022-2-1-1-1-11100000
χ252222222-1-2-2-2-2-2-2222-1-1-1-2-2-2-22-12-22222-1-1-1-1-1-2-22211-2-2-2-211111111000000000000-1-1-1-1-11-111-1-1111100000000−i3−i3i3i3000000000000000i3−i3i3−i3−i3i300000
χ262222222-1-2-2-2-2-2-2222-1-1-1-2-2-2-22-12-22222-1-1-1-1-1-2-22211-2-2-2-211111111000000000000-1-1-1-1-11-111-1-1111100000000i3i3−i3−i3000000000000000−i3i3−i3i3i3−i300000
χ27222222-12222222-1-1-1222-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ28222222-12222222-1-1-1222-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011111111111100000000000000
χ29222222-122222-2-2-1-1-12221111-2-1-2-2-1-11122-1-1-1-1-111-2-211-1-12222111100003333−3−3−3−3-2-1-111-2-2-1-11111-1-100000000000033−3−333−3−333−3−300000000000000
χ30222222-122222-2-2-1-1-12221111-2-1-2-2-1-11122-1-1-1-1-111-2-211-1-1222211110000−3−3−3−33333-2-1-111-2-2-1-11111-1-1000000000000−3−333−3−333−3−33300000000000000
χ31222222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-22-1-11122-1-1-1111122-1-111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-1-1112-21111-1-11100-2-222-2-200001111-1-1-1-1111100000000000000
χ32222222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-22-1-11122-1-1-1111122-1-111-2-2-2-2-1-1-1-1-2-2-2-211111111-2-1-1112-21111-1-1110022-2-2220000-1-1-1-11111-1-1-1-100000000000000
χ33222222-12-2-2-2-2-2-2-1-1-122211112-12-2-1-1-1-122-1-1-111-1-1-2-21111-2-2-2-2111100003333−3−3−3−32-1-1-1-1-2211-1-11111000000000000−3−33333−3−3−3−33300000000000000
χ34222222-12-2-2-2-2-2-2-1-1-122211112-12-2-1-1-1-122-1-1-111-1-1-2-21111-2-2-2-211110000−3−3−3−333332-1-1-1-1-2211-1-1111100000000000033−3−3−3−33333−3−300000000000000
χ352222-2-22222-2-2-2-2222222-2-2-2-2-2222-2-2-2-2-2-2222-2-222-2-2222222-2-2-2-2-2-2000000000000-2-2-2-2-222-2-222222200000000000000000000000000000000000000
χ362222-2-222-2-222-2-2222222-2-2-2-222-22-2-222-2-222222-2-2-2-222-2-2-2-222-2-2-2-20000000000002-2-2222-222-2-222-2-200000000000000000000000000000000000000
χ372222-2-22-122-2-222222-1-1-122222-1-2-2-2-22211-1-1-1-2-2-2-2-1-1-2-222-1-111-1-1-1-1000000000000-111-1-111111111-1-122000000-1-1-1-1000000000000-22-211-1-11100000
χ382222-2-22-122-2-222222-1-1-122222-1-2-2-2-22211-1-1-1-2-2-2-2-1-1-2-222-1-111-1-1-1-1000000000000-111-1-111111111-1-1-2-200000011110000000000002-22-1-111-1-100000
χ392222-2-22-122-2-2-2-2222-1-1-1-2-2-2-2-2-122-2-2-2-211-1-1-1-2-222112222-1-111111100000000000011111-1-111-1-1-1-1-1-100000000−i3−i3i3i3000000000000000i3−i3−i3i3i3−i300000
χ402222-2-22-122-2-2-2-2222-1-1-1-2-2-2-2-2-122-2-2-2-211-1-1-1-2-222112222-1-111111100000000000011111-1-111-1-1-1-1-1-100000000i3i3−i3−i3000000000000000−i3i3i3−i3−i3i300000
χ412222-2-22-1-2-22222222-1-1-12222-2-12-2-2-2-2-211-1-1-12222-1-1-2-2-2-211-1-1-1-1-1-1000000000000111111-1-1-1-1-1111122000000-1-1-1-10000000000002-2-2-1-1111100000
χ422222-2-22-1-2-22222222-1-1-12222-2-12-2-2-2-2-211-1-1-12222-1-1-2-2-2-211-1-1-1-1-1-1000000000000111111-1-1-1-1-11111-2-20000001111000000000000-22211-1-1-1-100000
χ432222-2-22-1-2-222-2-2222-1-1-1-2-2-2-22-1-22-2-22211-1-1-122-2-21122-2-211-1-11111000000000000-111-1-1-11-1-111-1-11100000000−i3−i3i3i3000000000000000−i3i3i3−i3i3−i300000
χ442222-2-22-1-2-222-2-2222-1-1-1-2-2-2-22-1-22-2-22211-1-1-122-2-21122-2-211-1-11111000000000000-111-1-1-11-1-111-1-11100000000i3i3−i3−i3000000000000000i3−i3−i3i3−i3i300000
χ452222-2-2-1222-2-222-1-1-1222-1-1-1-12-1-2-211-1-1-2-2-1-1-111112211-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1211-1-1-2-2111111-1-100-2-2-2-222000011111111-1-1-1-100000000000000
χ462222-2-2-1222-2-222-1-1-1222-1-1-1-12-1-2-211-1-1-2-2-1-1-111112211-1-122-2-2-1-1-1-1-2-2-2-211111111211-1-1-2-2111111-1-1002222-2-20000-1-1-1-1-1-1-1-1111100000000000000
χ472222-2-2-1222-2-2-2-2-1-1-12221111-2-1221111-2-2-1-1-111-1-1-2-2-1-1-1-122-2-2111100003333−3−3−3−3-211112211-1-1-1-1-1-1000000000000−3−333−3−33333−3−300000000000000
χ482222-2-2-1222-2-2-2-2-1-1-12221111-2-1221111-2-2-1-1-111-1-1-2-2-1-1-1-122-2-211110000−3−3−3−33333-211112211-1-1-1-1-1-100000000000033−3−333−3−3−3−33300000000000000
χ492222-2-2-12-2-22222-1-1-1222-1-1-1-1-2-12-21111-2-2-1-1-1-1-1-1-1221111-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-21111-22-1-1-1-111110022-2-2-2-20000-1-1-1-11111111100000000000000
χ502222-2-2-12-2-22222-1-1-1222-1-1-1-1-2-12-21111-2-2-1-1-1-1-1-1-1221111-2-222-1-1-1-1-2-2-2-211111111-21111-22-1-1-1-1111100-2-2222200001111-1-1-1-1-1-1-1-100000000000000
χ512222-2-2-12-2-222-2-2-1-1-122211112-1-2211-1-1-2-2-1-1-1-1-111-2-2-1-111-2-222111100003333−3−3−3−3211-1-12-2-1-111-1-11100000000000033−3−3−3−333−3−33300000000000000
χ522222-2-2-12-2-222-2-2-1-1-122211112-1-2211-1-1-2-2-1-1-1-1-111-2-2-1-111-2-22211110000−3−3−3−33333211-1-12-2-1-111-1-111000000000000−3−33333−3−333−3−300000000000000
χ5322-2-22-2222i−2i2i−2i002-2-2-22-2000002002-2002-22-2-22i−2i0000002i−2i2i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-200002i−2i00002i−2i002−2−i2i22−200002−22−2−i2i2−i2i22−22−200000000000000
χ5422-2-22-2222i−2i2i−2i002-2-2-22-2000002002-2002-22-2-22i−2i0000002i−2i2i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-200002i−2i00002i−2i00−22i2−i2−220000−22−22i2−i2i2−i2−22−2200000000000000
χ5522-2-22-222−2i2i−2i2i002-2-2-22-2000002002-2002-22-2-2−2i2i000000−2i2i−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-20000−2i2i0000−2i2i00−22−i2i2−220000−22−22−i2i2−i2i2−22−2200000000000000
χ5622-2-22-222−2i2i−2i2i002-2-2-22-2000002002-2002-22-2-2−2i2i000000−2i2i−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-20000−2i2i0000−2i2i002−2i2−i22−200002−22−2i2−i2i2−i22−22−200000000000000
χ5722-2-22-2-122i−2i2i−2i00-111-22-23−33−30-100-11−i3i32-2-111−ii−i3i3003−3−ii2i−2i2i−2i33−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-11−i3i300−ii−i3i33−3−ii002−2−i2i22−20000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5822-2-22-2-122i−2i2i−2i00-111-22-23−33−30-100-11−i3i32-2-111−ii−i3i3003−3−ii2i−2i2i−2i33−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-11−i3i300−ii−i3i33−3−ii00−22i2−i2−220000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5922-2-22-2-122i−2i2i−2i00-111-22-2−33−330-100-11i3−i32-2-111−iii3−i300−33−ii2i−2i2i−2i−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70-11i3−i300−iii3−i3−33−ii002−2−i2i22−20000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ6022-2-22-2-122i−2i2i−2i00-111-22-2−33−330-100-11i3−i32-2-111−iii3−i300−33−ii2i−2i2i−2i−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70-11i3−i300−iii3−i3−33−ii00−22i2−i2−220000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ6122-2-22-2-12−2i2i−2i2i00-111-22-23−33−30-100-11i3−i32-2-111i−ii3−i3003−3i−i−2i2i−2i2i33−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-11i3−i300i−ii3−i33−3i−i00−22−i2i2−220000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ6222-2-22-2-12−2i2i−2i2i00-111-22-23−33−30-100-11i3−i32-2-111i−ii3−i3003−3i−i−2i2i−2i2i33−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-11i3−i300i−ii3−i33−3i−i002−2i2−i22−20000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.