Finite Group Databasebeta

← Group #11774721

Character table — Group #11774721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222444433444466666612121212121212123666888812121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444442244888812121212121212122424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111-1-111i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1-1-111−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-11111-1-1−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1-111-1-111−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-11111-1-1-1-111i−i−ii-1-11111-1-1ii−i−i−i−iii-11ii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-11111-1-1i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii
χ172222222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-122222-122-1-122-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000220000-1-1-1-10000-1-1-1-1000000
χ20222222222-122222-122-1-122-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000111100001111000000
χ21222222222-122222-122-1-122-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100002222000000-2-20000-1-1-1-100001111000000
χ22222222222-122222-122-1-122-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-200000022000011110000-1-1-1-1000000
χ2322222222-122222-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000002200-1-1-1-10000-1-1-1-10000000000
χ2422222222-122222-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111000011110000000000
χ2522222222-122222-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111222200000000-2-200-1-1-1-1000011110000000000
χ2622222222-122222-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-200000000220011110000-1-1-1-10000000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ292222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-1-1-12i2i−2i−2i22-1-1-1-1-1-11111-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii000022-2-20000002i−2i0000-1-1110000−i−iii000000
χ302222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-1-1-12i2i−2i−2i22-1-1-1-1-1-11111-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000-2-222000000−2i2i000011-1-10000ii−i−i000000
χ312222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-1-1-1−2i−2i2i2i22-1-1-1-1-1-11111-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000022-2-2000000−2i2i0000-1-1110000ii−i−i000000
χ322222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-1-1-1−2i−2i2i2i22-1-1-1-1-1-11111-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000-2-2220000002i−2i000011-1-10000−i−iii000000
χ332222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-1-1-12i2i−2i−2i-1-122-1-1-1-1111111-2-21111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii22-2-2000000002i−2i00-1-1110000−i−iii0000000000
χ342222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-1-1-12i2i−2i−2i-1-122-1-1-1-1111111-2-21111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-2-22200000000−2i2i0011-1-10000ii−i−i0000000000
χ352222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-1-1-1−2i−2i2i2i-1-122-1-1-1-1111111-2-21111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i22-2-200000000−2i2i00-1-1110000ii−i−i0000000000
χ362222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-1-1-1−2i−2i2i2i-1-122-1-1-1-1111111-2-21111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-2-222000000002i−2i0011-1-10000−i−iii0000000000
χ372-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-21+i−1−i1−i−1+i000000002i2i−2i−2i000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i000000002-22i−2i00000000000000000000001+i−1−i1−i−1+i
χ382-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-21+i−1−i1−i−1+i000000002i2i−2i−2i000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i00000000-22−2i2i0000000000000000000000−1−i1+i−1+i1−i
χ392-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-2−1−i1+i−1+i1−i000000002i2i−2i−2i00000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i000000002-22i−2i0000000000000000000000−1−i1+i−1+i1−i
χ402-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-2−1−i1+i−1+i1−i000000002i2i−2i−2i00000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i00000000-22−2i2i00000000000000000000001+i−1−i1−i−1+i
χ412-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-21−i−1+i1+i−1−i00000000−2i−2i2i2i000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i000000002-2−2i2i00000000000000000000001−i−1+i1+i−1−i
χ422-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-21−i−1+i1+i−1−i00000000−2i−2i2i2i000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i00000000-222i−2i0000000000000000000000−1+i1−i−1−i1+i
χ432-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−1+i1−i−1−i1+i00000000−2i−2i2i2i00000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i000000002-2−2i2i0000000000000000000000−1+i1−i−1−i1+i
χ442-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−1+i1−i−1−i1+i00000000−2i−2i2i2i00000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i00000000-222i−2i00000000000000000000001−i−1+i1+i−1−i
χ452-2-222i−2i2i−2i222-22i−2i-2-2-22-222i−2i−2i2i−2i2i2i−2i2-22-200002-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000002i−2i2-20000000000002i−2i2-2000000000000000000
χ462-2-222i−2i2i−2i222-22i−2i-2-2-22-222i−2i−2i2i−2i2i2i−2i2-22-200002-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000−2i2i-22000000000000−2i2i-22000000000000000000
χ472-2-222i−2i2i−2i22-22−2i2i-2-2-22-222i−2i−2i2i−2i2i2i−2i2-22-20000-22-22-2-2222i−2i2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000002i−2i2-20000000000002i−2i2-200000000000000
χ482-2-222i−2i2i−2i22-22−2i2i-2-2-22-222i−2i−2i2i−2i2i2i−2i2-22-20000-22-22-2-2222i−2i2i−2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000−2i2i-22000000000000−2i2i-2200000000000000
χ492-2-222i−2i2i−2i2-1-22−2i2i-21-221-12i−2ii−i−2i2i−ii-11-110000-221-111-1-1−ii−ii−2i2ii−iii−i−i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300002i−2i2-2000000000000−ii-110000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ502-2-222i−2i2i−2i2-1-22−2i2i-21-221-12i−2ii−i−2i2i−ii-11-110000-221-111-1-1−ii−ii−2i2ii−iii−i−i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000−2i2i-22000000000000i−i1-10000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ512-2-222i−2i2i−2i2-1-22−2i2i-21-221-12i−2ii−i−2i2i−ii-11-110000-221-111-1-1−ii−ii−2i2ii−iii−i−i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300002i−2i2-2000000000000−ii-110000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.