Finite Group Databasebeta

← Group #11774776

Character table — Group #11774776

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444223344444444446666661212121212121212366666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888888888884444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ1722222222222222-2-2-2-2-2-2-2-222222222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ1822222222222-12222222222222-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ1922222222222-12222222222222-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ2022222222222-122-2-2-2-2-2-2-2-2222-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-2-2111111111111-1-1-1-111111111-1-1-1-11111000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2122222222222-122-2-2-2-2-2-2-2-2222-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-2-2111111111111-1-1-1-111111111-1-1-1-11111000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ222222222222-122222222222-1-1-1222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ232222222222-122222222222-1-1-1222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ242222222222-1222-2-2-2-2-2-2-2-2-1-1-1222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1111111-1-12211-2-2-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-1111100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ252222222222-1222-2-2-2-2-2-2-2-2-1-1-1222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1111111-1-12211-2-2-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-1111100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ2622222222-2-222-2-2-2-22222-2-2222222222222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2722222222-2-22-1-2-222-2-2-2-222222-1-1-122-1-1-1-122-1-2-2111111-1-1-12222-2-2-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000022-2-20000-1-1-1-1111100000000
χ2822222222-2-22-1-2-222-2-2-2-222222-1-1-122-1-1-1-122-1-2-2111111-1-1-12222-2-2-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000-2-22200001111-1-1-1-100000000
χ2922222222-2-22-1-2-2-2-22222-2-2222-1-1-122-1-1-1-122-1-2-2111111-1-1-1-2-2-2-222-2-211221111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-2-22-1-2-2-2-22222-2-2222-1-1-122-1-1-1-122-1-2-2111111-1-1-1-2-2-2-222-2-211221111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3122222222-2-2-12-2-222-2-2-2-222-1-1-1222-1-12222-1-1-111-2-21111-1-1-1-1-1-1-11111-2-2112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000022-2-200000000-1-1-1-11111
χ3222222222-2-2-12-2-222-2-2-2-222-1-1-1222-1-12222-1-1-111-2-21111-1-1-1-1-1-1-11111-2-2112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000-2-222000000001111-1-1-1-1
χ3322222222-2-2-12-2-2-2-22222-2-2-1-1-1222-1-12222-1-1-111-2-21111-1-1-11111-1-111-2-2-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ3422222222-2-2-12-2-2-2-22222-2-2-1-1-1222-1-12222-1-1-111-2-21111-1-1-11111-1-111-2-2-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ352222-2-2-2-22222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ362222-2-2-2-2222-1-2-22222-2-2-2-2222-1-1-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-122-2-222-2-211-2-2-1-111-1-111-1-1-1-111111111-1-1-1-11111111100000000000000002-22-20000-1-111-1-11100000000
χ372222-2-2-2-2222-1-2-22222-2-2-2-2222-1-1-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-122-2-222-2-211-2-2-1-111-1-111-1-1-1-111111111-1-1-1-1111111110000000000000000-22-22000011-1-111-1-100000000
χ382222-2-2-2-2222-1-2-2-2-2-2-22222222-1-1-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2112211-1-111-1-111111111-1-1-1-111111111-1-1-1-1000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ392222-2-2-2-2222-1-2-2-2-2-2-22222222-1-1-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2112211-1-111-1-111111111-1-1-1-111111111-1-1-1-1000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ402222-2-2-2-222-12-2-22222-2-2-2-2-1-1-122211-2-2-2-211-1-1-122-1-1-1-1-1-1-1-1-111-1-111-2-21122-2-222-2-2-1-1-1-111111111-1-1-1-111111111000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ412222-2-2-2-222-12-2-22222-2-2-2-2-1-1-122211-2-2-2-211-1-1-122-1-1-1-1-1-1-1-1-111-1-111-2-21122-2-222-2-2-1-1-1-111111111-1-1-1-11111111100000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ422222-2-2-2-222-12-2-2-2-2-2-22222-1-1-122211-2-2-2-211-1-1-122-1-1-1-1-1-1-111-1-11111-2-2-1-1-2-222-2-22211111111-1-1-1-111111111-1-1-1-1000000000000000000000000000000003−3−333−3−33
χ432222-2-2-2-222-12-2-2-2-2-2-22222-1-1-122211-2-2-2-211-1-1-122-1-1-1-1-1-1-111-1-11111-2-2-1-1-2-222-2-22211111111-1-1-1-111111111-1-1-1-100000000000000000000000000000000−333−3−333−3
χ442222-2-2-2-2-2-22222-2-222-2-222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ452222-2-2-2-2-2-22-12222-2-222-2-2222-1-1-1-2-21111-2-2-1-2-2111111-1-1-122-2-2-2-222-1-122-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000002-2-220000-1-11111-1-100000000
χ462222-2-2-2-2-2-22-12222-2-222-2-2222-1-1-1-2-21111-2-2-1-2-2111111-1-1-122-2-2-2-222-1-122-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000-222-2000011-1-1-1-11100000000
χ472222-2-2-2-2-2-22-122-2-222-2-222222-1-1-1-2-21111-2-2-1-2-2111111-1-1-1-2-2222222-1-1-2-211-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ482222-2-2-2-2-2-22-122-2-222-2-222222-1-1-1-2-21111-2-2-1-2-2111111-1-1-1-2-2222222-1-1-2-211-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ492222-2-2-2-2-2-2-122222-2-222-2-2-1-1-122211-2-2-2-211-111-2-21111-1-1-1-1-11111-1-122-1-122-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ502222-2-2-2-2-2-2-122222-2-222-2-2-1-1-122211-2-2-2-211-111-2-21111-1-1-1-1-11111-1-122-1-122-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ512222-2-2-2-2-2-2-1222-2-222-2-222-1-1-122211-2-2-2-211-111-2-21111-1-1-111-1-1-1-1-1-12211-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000003−3−33−333−3
χ522222-2-2-2-2-2-2-1222-2-222-2-222-1-1-122211-2-2-2-211-111-2-21111-1-1-111-1-1-1-1-1-12211-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000000000−333−33−3−33
χ5322-2-222-2-22-2222-2000000002-2-22-2-22222-2-2-2-222-22-222-2-22-2-20000002-22-20000000000000022-2-20000000022-2-2000022−2−222−2−222−2−222−2−2000000000000000000000000
χ5422-2-222-2-22-2222-2000000002-2-22-2-22222-2-2-2-222-22-222-2-22-2-20000002-22-20000000000000022-2-20000000022-2-20000−2−222−2−222−2−222−2−222000000000000000000000000
χ5522-2-222-2-2-2222-22000000002-2-22-2-22222-2-2-2-22-22-22-2-2222-2-2000000-22-220000000000000022-2-200000000-2-222000022−2−222−2−2−2−222−2−222000000000000000000000000
χ5622-2-222-2-2-2222-22000000002-2-22-2-22222-2-2-2-22-22-22-2-2222-2-2000000-22-220000000000000022-2-200000000-2-2220000−2−222−2−22222−2−222−2−2000000000000000000000000
χ5722-2-2-2-2222-222-22000000002-2-22-2-2-2-2-2-2222222-22-222-2-22-2-2000000-22-2200000000000000-2-22200000000-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ5822-2-2-2-2222-222-22000000002-2-22-2-2-2-2-2-2222222-22-222-2-22-2-2000000-22-2200000000000000-2-22200000000-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ5922-2-2-2-222-22222-2000000002-2-22-2-2-2-2-2-222222-22-22-2-2222-2-20000002-22-200000000000000-2-2220000000022-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ6022-2-2-2-222-22222-2000000002-2-22-2-2-2-2-2-222222-22-22-2-2222-2-20000002-22-200000000000000-2-2220000000022-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ612-22-22i−2i2i−2i002200002i−2i2-200-22-2-22-22i−2i2i−2i2i−2i2i−2i200000000-22-200002i−2i00002-200002i−2i2-200002i−2i2i−2i00002i2i−2i−2i000022-2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
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χ1314-4-44−4i4i4i−4i00-2-200-4400004i−4i22-222-22i−2i2i−2i−2i2i−2i2i100003-3-33-1-112-2−2i2i000000002-2−2i2i0000-1-111−iii−iii−i−i-333-3−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i00-2-200-4400004i−4i22-222-22i−2i2i−2i−2i2i−2i2i10000-333-3-1-112-2−2i2i000000002-2−2i2i0000-1-111−iii−iii−i−i3-3-333i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000

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