Finite Group Databasebeta

← Group #11777897

Character table — Group #11777897

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12224444334444666666121212121212121236668888121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242444668888121212121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i11-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i11-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii-1-111−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i11-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i-1-111−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i11-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii11-1-1ii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii11-1-1−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i-1-111ii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii-1-111ii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i11-1-1−i−iii
χ172222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ19222222222-122222-1-122-122-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-12200-1-10000-1-1-1-1000000000000
χ20222222222-122222-1-122-122-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-2001100001111000000000000
χ21222222222-122222-1-122-122-1-122-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21111111111111111112200-1-1-2-200-1-100001111000000000000
χ22222222222-122222-1-122-122-1-122-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-2111111111111111111-2-200112200110000-1-1-1-1000000000000
χ23222222222-1-2-2-2-22-1-122-122-1-122-1-1-1-1-1-122-2-21111-2-2-2-211111111-1-1-1-122-1-122-1-1-2-211-2-211-1-1-1-11111-1-1-1-111110000−i3i30000−i3i30000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-22-1-122-122-1-122-1-1-1-1-1-122-2-21111-2-2-2-211111111-1-1-1-122-1-122-1-1-2-211-2-211-1-1-1-11111-1-1-1-111110000i3−i30000i3−i30000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-22-1-122-122-1-122-1-1-1-1-1-1-2-2221111-2-2-2-211111111-1-1-1-1-2-211-2-21122-1-122-1-11111-1-1-1-11111-1-1-1-10000−i3i30000−i3i30000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-22-1-122-122-1-122-1-1-1-1-1-1-2-2221111-2-2-2-211111111-1-1-1-1-2-211-2-21122-1-122-1-11111-1-1-1-11111-1-1-1-10000i3−i30000i3−i30000−i3i3−i3i3000000000000
χ2722222222-122222-122-1-12-1-122-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200002200-1-1-1-10000-1-1-1-100000000
χ2822222222-122222-122-1-12-1-122-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-20011110000111100000000
χ2922222222-122222-122-1-12-1-122-1-122-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2111111111111111100220000-2-200-1-1-1-10000111100000000
χ3022222222-122222-122-1-12-1-122-1-122-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2111111111111111100-2-20000220011110000-1-1-1-100000000
χ3122222222-12-2-2-2-2-122-1-12-1-122-1-122-1-1-1-122-2-2-2-2-2-2111111111111-1-1-1-1-1-122-1-12211-2-211-2-2-1-1-1-11111-1-1-1-11111000000000000−i3i3−i3i30000−i3i3−i3i300000000
χ3222222222-12-2-2-2-2-122-1-12-1-122-1-122-1-1-1-122-2-2-2-2-2-2111111111111-1-1-1-1-1-122-1-12211-2-211-2-2-1-1-1-11111-1-1-1-11111000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ3322222222-12-2-2-2-2-122-1-12-1-122-1-122-1-1-1-1-2-222-2-2-2-2111111111111-1-1-1-111-2-211-2-2-1-122-1-1221111-1-1-1-11111-1-1-1-1000000000000−i3i3−i3i30000i3−i3i3−i300000000
χ3422222222-12-2-2-2-2-122-1-12-1-122-1-122-1-1-1-1-2-222-2-2-2-2111111111111-1-1-1-111-2-211-2-2-1-122-1-1221111-1-1-1-11111-1-1-1-1000000000000i3−i3i3−i30000−i3i3−i3i300000000
χ352222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222222i−2i−2i2i-2-222-2-222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ362222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222−2i2i2i−2i-2-222-2-222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ372222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-12i−2i2i−2i-1-11122-2-2-1-1-1-1111111112i2i−i−i−2i−2iii2i2i−i−i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii2-200-1-12i−2i00110000−i−iii000000000000
χ382222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-12i−2i2i−2i-1-11122-2-2-1-1-1-1111111112i2i−i−i−2i−2iii2i2i−i−i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii-220011−2i2i00-1-10000ii−i−i000000000000
χ392222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1−2i2i−2i2i-1-11122-2-2-1-1-1-111111111−2i−2iii2i2i−i−i−2i−2iii2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i2-200-1-1−2i2i00110000ii−i−i000000000000
χ402222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1−2i2i−2i2i-1-11122-2-2-1-1-1-111111111−2i−2iii2i2i−i−i−2i−2iii2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i-2200112i−2i00-1-10000−i−iii000000000000
χ412222-2-2-2-22-1-2-2222-1-122-1-2-211-2-211-1-1-1-12i−2i−2i2i11-1-1-2-2221111-1-1-1-111112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i−i−i−i−iiiiiiiii−i−i−i−i0000−i3i30000i3−i300003−3−33000000000000
χ422222-2-2-2-22-1-2-2222-1-122-1-2-211-2-211-1-1-1-12i−2i−2i2i11-1-1-2-2221111-1-1-1-111112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i−i−i−i−iiiiiiiii−i−i−i−i0000i3−i30000−i3i30000−333−3000000000000
χ432222-2-2-2-22-1-2-2222-1-122-1-2-211-2-211-1-1-1-1−2i2i2i−2i11-1-1-2-2221111-1-1-1-11111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iiiiiii−i−i−i−i−i−i−i−iiiii0000−i3i30000i3−i30000−333−3000000000000
χ442222-2-2-2-22-1-2-2222-1-122-1-2-211-2-211-1-1-1-1−2i2i2i−2i11-1-1-2-2221111-1-1-1-11111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iiiiiii−i−i−i−i−i−i−i−iiiii0000i3−i30000−i3i300003−3−33000000000000
χ452222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-12i−2i2i−2i22-2-2-1-111-1-1-1-111111111−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii002-200002i−2i00-1-1110000−i−iii00000000
χ462222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-12i−2i2i−2i22-2-2-1-111-1-1-1-111111111−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00-220000−2i2i0011-1-10000ii−i−i00000000
χ472222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-1−2i2i−2i2i22-2-2-1-111-1-1-1-111111111ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2iiiiiiiii−i−i−i−i−i−i−i−i002-20000−2i2i00-1-1110000ii−i−i00000000
χ482222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-1−2i2i−2i2i22-2-2-1-111-1-1-1-111111111ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2iiiiiiiii−i−i−i−i−i−i−i−i00-2200002i−2i0011-1-10000−i−iii00000000
χ492222-2-2-2-2-12-2-222-122-1-1211-2-211-2-2-1-1-1-12i−2i−2i2i-2-22211-1-11111-1-1-1-11111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000−i3i3i3−i300003−3−3300000000
χ502222-2-2-2-2-12-2-222-122-1-1211-2-211-2-2-1-1-1-12i−2i−2i2i-2-22211-1-11111-1-1-1-11111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000i3−i3−i3i30000−333−300000000
χ512222-2-2-2-2-12-2-222-122-1-1211-2-211-2-2-1-1-1-1−2i2i2i−2i-2-22211-1-11111-1-1-1-11111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000−i3i3i3−i30000−333−300000000
χ522222-2-2-2-2-12-2-222-122-1-1211-2-211-2-2-1-1-1-1−2i2i2i−2i-2-22211-1-11111-1-1-1-11111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000i3−i3−i3i300003−3−3300000000
χ5322-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002-22i−2i2-22i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ5422-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002-22i−2i2-22i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ5522-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000-22−2i2i-22−2i2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002-22i−2i0000
χ5622-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000-22−2i2i-22−2i2i-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000-22−2i2i0000
χ5722-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-200002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ5822-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-200002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ5922-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000-222i−2i-222i−2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002-2−2i2i0000
χ6022-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000-222i−2i-222i−2i-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-222i−2i0000
χ6144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211114444-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ6244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-4-4-4-4-2-2-2-2-2-2-2-21111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.