Finite Group Databasebeta

← Group #11887543

Character table — Group #11887543

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222244444444444444444444444444444446666666666668888888888888881212121212121212121212121212121212121212121212122424242424242424243636727272
order12222222334444666666121212123444666666666661212121212121212121212121212121288882424242424242424666612121212121212121212124488888812121212242424242424242424242424244661212121244444
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
χ5111111-1-111-1-11111111111111-11-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-11-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-111-1-111-11-1
χ6111111-1-111-1-11111111111111-11-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-111-1-11-11
χ7111111-1-111-1-11111111111111-11-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-111-1-11111-1-11111111111-1-1-1-11111-11-1-1-111-1-1-1-11-11
χ8111111-1-111-1-11111111111111-11-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1111-1-11111-11-1
χ91111-1-11111-1-11111111111111-1-11-1-111-1-111111-1-1-1-111-1-111-1-11111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11
χ101111-1-11111-1-11111111111111-1-11-1-111-1-111111-1-1-1-111-1-111-1-11111111111111111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1
χ111111-1-11111-1-11111111111111-1-11-1-111-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-111-1
χ121111-1-11111-1-11111111111111-1-11-1-111-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-11111-1-111-1-11
χ131111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1
χ141111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111
χ151111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-111
χ161111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1
χ17222222222222-2-2222222-2-2-2-22-2-2-22222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000002222-2-2-222-2-2-2-2-2-200000000000000000000000000000000000000
χ18222222222-1222222-12-1-12222-12222222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1000000000000222-1-1-1-1-1-100000
χ19222222222-1222222-12-1-12222-12222222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111000000000000-2-2-211111100000
χ20222222222-122-2-222-12-1-1-2-2-2-2-1-2-2-22222-1-1-1-1-1-1-122-2-211-2-2-2-2-1-11111000000000000-1-1-1-1111-1-111111100000000−i3−i3i3i3000000000000000−i3i3−i3i3−i3i300000
χ21222222222-122-2-222-12-1-1-2-2-2-2-1-2-2-22222-1-1-1-1-1-1-122-2-211-2-2-2-2-1-11111000000000000-1-1-1-1111-1-111111100000000i3i3−i3−i3000000000000000i3−i3i3−i3i3−i300000
χ2222222222-122222-1-12-122-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2322222222-122222-1-12-122-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211111111-1-1-1-1222-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011111111111100000000000000
χ2422222222-1222-2-2-1-12-1221111-1-2-2-2-1-1-1-12222-1-1-1-1-111-2-2111122111100003333−3−3−3−3-1-1-1-1-2-2-2-1-111111100000000000033−3−333−3−333−3−300000000000000
χ2522222222-1222-2-2-1-12-1221111-1-2-2-2-1-1-1-12222-1-1-1-1-111-2-211112211110000−3−3−3−33333-1-1-1-1-2-2-2-1-1111111000000000000−3−333−3−333−3−33300000000000000
χ26222222-2-222-2-2-2-2222222-2-2-2-222-2222-2-222-2-2222-2-222-2-2-2-222-2-2-2-2-2-200000000000022-2-22-22-2-222-2-22200000000000000000000000000000000000000
χ27222222-2-22-1-2-22222-12-1-12222-1-22-222-2-2-1-111-1-1-1-2-2-2-2-1-122-2-211-1-1-1-1000000000000-1-1111-111111-1-11122000000-1-1-1-1000000000000-22-211-1-11100000
χ28222222-2-22-1-2-22222-12-1-12222-1-22-222-2-2-1-111-1-1-1-2-2-2-2-1-122-2-211-1-1-1-1000000000000-1-1111-111111-1-111-2-200000011110000000000002-22-1-111-1-100000
χ29222222-2-22-1-2-2-2-222-12-1-1-2-2-2-2-12-2222-2-2-1-111-1-1-1-2-22211-2-222111111000000000000-1-111-11-111-1-111-1-100000000−i3−i3i3i3000000000000000i3−i3−i3i3i3−i300000
χ30222222-2-22-1-2-2-2-222-12-1-1-2-2-2-2-12-2222-2-2-1-111-1-1-1-2-22211-2-222111111000000000000-1-111-11-111-1-111-1-100000000i3i3−i3−i3000000000000000−i3i3i3−i3−i3i300000
χ31222222-2-2-12-2-222-1-12-122-1-1-1-1-1-22-2-1-11122-2-2-1-1-1111122-1-111-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-111-22-21111-1-11100-2-222-2-200001111-1-1-1-1111100000000000000
χ32222222-2-2-12-2-222-1-12-122-1-1-1-1-1-22-2-1-11122-2-2-1-1-1111122-1-111-2-2-1-1-1-1-2-2-2-211111111-1-111-22-21111-1-1110022-2-2220000-1-1-1-11111-1-1-1-100000000000000
χ33222222-2-2-12-2-2-2-2-1-12-1221111-12-22-1-11122-2-2-1-1-111-1-1-2-211-1-1-2-2111100003333−3−3−3−3-1-1112-2211-1-111-1-1000000000000−3−33333−3−3−3−33300000000000000
χ34222222-2-2-12-2-2-2-2-1-12-1221111-12-22-1-11122-2-2-1-1-111-1-1-2-211-1-1-2-211110000−3−3−3−33333-1-1112-2211-1-111-1-100000000000033−3−3−3−33333−3−300000000000000
χ352222-2-22222-2-2-2-2222222-2-2-2-2222-2-2-222-2-222222-2-222-2-222-2-2-2-2-2-2-2-2000000000000-2-22222-2-2-22222-2-200000000000000000000000000000000000000
χ362222-2-2222-1-2-22222-12-1-12222-1-2-22-2-22211-1-1-1-1-1-2-2-2-2-1-1-2-22211-1-1-1-100000000000011-1-111-1111111-1-122000000-1-1-1-1000000000000-2-221111-1-100000
χ372222-2-2222-1-2-22222-12-1-12222-1-2-22-2-22211-1-1-1-1-1-2-2-2-2-1-1-2-22211-1-1-1-100000000000011-1-111-1111111-1-1-2-2000000111100000000000022-2-1-1-1-11100000
χ382222-2-2222-1-2-2-2-222-12-1-1-2-2-2-2-122-2-2-22211-1-1-1-1-1-2-2221122-2-211111100000000000011-1-1-1-1111-1-1-1-11100000000−i3−i3i3i3000000000000000i3−i3i3−i3−i3i300000
χ392222-2-2222-1-2-2-2-222-12-1-1-2-2-2-2-122-2-2-22211-1-1-1-1-1-2-2221122-2-211111100000000000011-1-1-1-1111-1-1-1-11100000000i3i3−i3−i3000000000000000−i3i3−i3i3i3−i300000
χ402222-2-222-12-2-222-1-12-122-1-1-1-1-1-2-2211-1-1-2-222-1-1-111112211-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-111-1-1-2-22111111-1-100-2-2-2-222000011111111-1-1-1-100000000000000
χ412222-2-222-12-2-222-1-12-122-1-1-1-1-1-2-2211-1-1-2-222-1-1-111112211-1-1-2-2-1-1-1-1-2-2-2-21111111111-1-1-2-22111111-1-1002222-2-20000-1-1-1-1-1-1-1-1111100000000000000
χ422222-2-222-12-2-2-2-2-1-12-1221111-122-211-1-1-2-222-1-1-111-1-1-2-2-1-111-2-2111100003333−3−3−3−311-1-122-211-1-1-1-111000000000000−3−333−3−33333−3−300000000000000
χ432222-2-222-12-2-2-2-2-1-12-1221111-122-211-1-1-2-222-1-1-111-1-1-2-2-1-111-2-211110000−3−3−3−3333311-1-122-211-1-1-1-11100000000000033−3−333−3−3−3−33300000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-22-222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-2000000000000-2-2-2-2-22222-2-2222200000000000000000000000000000000000000
χ452222-2-2-2-22-1222222-12-1-12222-12-2-2-2-2-2-21111-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-10000000000001111-111-1-1-1-1111122000000-1-1-1-10000000000002-2-2-1-1111100000
χ462222-2-2-2-22-1222222-12-1-12222-12-2-2-2-2-2-21111-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-10000000000001111-111-1-1-1-11111-2-20000001111000000000000-22211-1-1-1-100000
χ472222-2-2-2-22-122-2-222-12-1-1-2-2-2-2-1-222-2-2-2-21111-1-1-122-2-2112222-1-1111100000000000011111-1-1-1-111-1-1-1-100000000−i3−i3i3i3000000000000000−i3i3i3−i3i3−i300000
χ482222-2-2-2-22-122-2-222-12-1-1-2-2-2-2-1-222-2-2-2-21111-1-1-122-2-2112222-1-1111100000000000011111-1-1-1-111-1-1-1-100000000i3i3−i3−i3000000000000000i3−i3−i3i3−i3i300000
χ492222-2-2-2-2-122222-1-12-122-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-1-1-122111122-1-1-1-12222-1-1-1-1-1-1-1-111112-2-2-1-1-1-111110022-2-2-2-20000-1-1-1-11111111100000000000000
χ502222-2-2-2-2-122222-1-12-122-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-1-1-122111122-1-1-1-1-2-2-2-21111111111112-2-2-1-1-1-1111100-2-2222200001111-1-1-1-1-1-1-1-100000000000000
χ512222-2-2-2-2-1222-2-2-1-12-1221111-1-2221111-2-2-2-2-1-1-1-1-111-2-2-1-1-1-122111100003333−3−3−3−31111-222-1-111-1-1-1-100000000000033−3−3−3−333−3−33300000000000000
χ522222-2-2-2-2-1222-2-2-1-12-1221111-1-2221111-2-2-2-2-1-1-1-1-111-2-2-1-1-1-12211110000−3−3−3−333331111-222-1-111-1-1-1-1000000000000−3−33333−3−333−3−300000000000000
χ5322-2-22-22-2222-2002-2-2-2-22000020002-22-22-22-22-2-22-2000000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22-20002-200000000−i2i2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000
χ5422-2-22-22-2222-2002-2-2-2-22000020002-22-22-22-22-2-22-2000000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-22-20002-200000000i2−i2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000
χ5522-2-22-22-2-122-200-11-21-223−33−3-1000-11-112-22-2-111-113−3003−33−32-233−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-11-11000-113−33−33−300−i2i2−i2i2−i2i20000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5622-2-22-22-2-122-200-11-21-223−33−3-1000-11-112-22-2-111-113−3003−33−32-233−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-11-11000-113−33−33−300i2−i2i2−i2i2−i20000−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ5722-2-22-22-2-122-200-11-21-22−33−33-1000-11-112-22-2-111-11−3300−33−332-2−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-11-11000-11−33−33−3300−i2i2−i2i2−i2i20000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5822-2-22-22-2-122-200-11-21-22−33−33-1000-11-112-22-2-111-11−3300−33−332-2−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-11-11000-11−33−33−3300i2−i2i2−i2i2−i20000−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ5922-2-22-2-2222-22002-2-2-2-22000020002-2-222-2-222-2-2-2200000000-220000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2-22000-2200000000i2−i2−i2i2i2−i20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ6022-2-22-2-2222-22002-2-2-2-22000020002-2-222-2-222-2-2-2200000000-220000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2-22000-2200000000−i2i2i2−i2−i2i20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ6122-2-22-2-22-12-2200-11-21-223−33−3-1000-111-12-2-22-1111-1−33003−3−33-2233−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-111-10001-1−333−3−3300i2−i2−i2i2i2−i20000−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ6222-2-22-2-22-12-2200-11-21-223−33−3-1000-111-12-2-22-1111-1−33003−3−33-2233−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-111-10001-1−333−3−3300−i2i2i2−i2−i2i20000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ6322-2-22-2-22-12-2200-11-21-22−33−33-1000-111-12-2-22-1111-13−300−333−3-22−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-111-10001-13−3−333−300i2−i2−i2i2i2−i20000−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ6422-2-22-2-22-12-2200-11-21-22−33−33-1000-111-12-2-22-1111-13−300−333−3-22−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-111-10001-13−3−333−300−i2i2i2−i2−i2i20000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+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.