Finite Group Databasebeta

← Group #11774713

Character table — Group #11774713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444334444666666121212121212121236661212121212121212121212122244881212121224242424242424242424242424242424444444668888121212121212242424242424242488121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-111ii−i−i11-1-1-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-11111−i−iii11-1-1-1-1−i−i−i−iiiiii−i-1-111ii−i−i-1-111−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-111−i−iii11-1-1-1-1−i−i−i−iiiii−ii11-1-1−i−iii11-1-1−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-11111ii−i−i11-1-1-1-1iiii−i−i−i−i−ii-1-111−i−iii-1-111ii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-1-1-1ii−i−i-1-11111iiii−i−i−i−i−ii11-1-1−i−iii-1-111−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111-1-1−i−iii-1-11111−i−i−i−iiiii−ii-1-111−i−iii11-1-1ii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-1-1-1−i−iii-1-11111−i−i−i−iiiiii−i11-1-1ii−i−i-1-111ii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111-1-1ii−i−i-1-11111iiii−i−i−i−ii−i-1-111ii−i−i11-1-1−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200-2-2-2-20000000000000000-2-20000220000-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200-2-2-2-20000000000000000220000-2-2000022-2-22200000000000000000000000000
χ19222222222-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1220000-1-10000-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-2-2-1-1-1-1-2-211-2-21111111111220000-1-10000-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2000011000011111100000000-2-20000111100000000
χ22222222222-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-2-1-1-1-1-2-211-2-21111111111-2-2000011000011111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-22-1-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200111100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-2-20000-1-1000011-1-11100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-22-1-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200111100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-2-20000-1-1000011-1-11100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-22-1-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200111100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3220000110000-1-111-1-100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-22-1-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200111100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3220000110000-1-111-1-100000000000000−i3i3−i3i300000000
χ2722222222-122222-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1002222002222000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-200-2-2-2-200000011111111001111000000000000
χ2922222222-122222-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-1-1-1-111-2-211-2-21111111100222200-2-2-2-20000001111111100-1-1-1-1000000000000
χ3022222222-122222-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-1-1-1-111-2-211-2-21111111100-2-2-2-2002222000000-1-1-1-1-1-1-1-1001111000000000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22222-2-200-2-2220000000000000000-220000220000-2-2-2-22200000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-22200-2-22200000000000000002-20000-2-200002222-2-200000000000000000000000000
χ332222-2-2-2-22-122-2-22-1-1-122-2-2-2-21111-1-1-1-1-1-111221111-2-222-2-22i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii2-20000-1-10000-1-11111000000002i−2i0000−i−iii00000000
χ342222-2-2-2-22-122-2-22-1-1-122-2-2-2-21111-1-1-1-1-1-111221111-2-222-2-2−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i2-20000-1-10000-1-1111100000000−2i2i0000ii−i−i00000000
χ352222-2-2-2-22-122-2-22-1-1-122-2-2-2-21111-1-1-1-1-1-111221111-2-2-2-2222i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii-22000011000011-1-1-1-100000000−2i2i0000ii−i−i00000000
χ362222-2-2-2-22-122-2-22-1-1-122-2-2-2-21111-1-1-1-1-1-111221111-2-2-2-222−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i-22000011000011-1-1-1-1000000002i−2i0000−i−iii00000000
χ372222-2-2-2-22-1-2-2222-1-1-122-2-2-2-21111-1-1-1-111-1-1-2-211112222-2-20011-1-1003−300−3333−3−3−3−333-220000-1-100001111-1-1000000000000003−3−3300000000
χ382222-2-2-2-22-1-2-2222-1-1-122-2-2-2-21111-1-1-1-111-1-1-2-211112222-2-20011-1-100−33003−3−3−33333−3−3-220000-1-100001111-1-100000000000000−333−300000000
χ392222-2-2-2-22-1-2-2222-1-1-122-2-2-2-21111-1-1-1-111-1-1-2-2111122-2-2220011-1-1003−300−3333−3−3−3−3332-20000110000-1-1-1-11100000000000000−333−300000000
χ402222-2-2-2-22-1-2-2222-1-1-122-2-2-2-21111-1-1-1-111-1-1-2-2111122-2-2220011-1-100−33003−3−3−33333−3−32-20000110000-1-1-1-111000000000000003−3−3300000000
χ412222-2-2-2-2-1222-2-2-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-111111100002i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii0022-2-2002i2i−2i−2i000000−i−i−i−iiiii00-1-111000000000000
χ422222-2-2-2-2-1222-2-2-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-111111100002i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii00-2-22200−2i−2i2i2i000000iiii−i−i−i−i0011-1-1000000000000
χ432222-2-2-2-2-1222-2-2-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-11111110000−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i0022-2-200−2i−2i2i2i000000iiii−i−i−i−i00-1-111000000000000
χ442222-2-2-2-2-1222-2-2-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-11111110000−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i00-2-222002i2i−2i−2i000000−i−i−i−iiiii0011-1-1000000000000
χ452-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002-22i−2i00000000000000000000000000002-21+i−1−i1−i−1+i002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000001+i−1−i1−i−1+i
χ462-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002-22i−2i00000000000000000000000000002-2−1−i1+i−1+i1−i002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000−1−i1+i−1+i1−i
χ472-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00-22−2i2i0000000000000000000000000000-221+i−1−i1−i−1+i00−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000−1−i1+i−1+i1−i
χ482-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00-22−2i2i0000000000000000000000000000-22−1−i1+i−1+i1−i00−2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000001+i−1−i1−i−1+i
χ492-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002-2−2i2i00000000000000000000000000002-21−i−1+i1+i−1−i00−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000001−i−1+i1+i−1−i
χ502-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002-2−2i2i00000000000000000000000000002-2−1+i1−i−1−i1+i00−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000−1+i1−i−1−i1+i
χ512-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00-222i−2i0000000000000000000000000000-221−i−1+i1+i−1−i002i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000−1+i1−i−1−i1+i
χ522-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00-222i−2i0000000000000000000000000000-22−1+i1−i−1−i1+i002i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000001−i−1+i1+i−1−i
χ532-2-222i−2i−2i2i222-22i−2i-2-22-2-22−2i2i2i−2i2i−2i−2i2i2-22-22-22i−2i2-2−2i2i2i−2i2i−2i0000002-22i−2i00000000000000000000000000000000000000000000000000002i−2i2-20000
χ542-2-222i−2i−2i2i222-22i−2i-2-22-2-22−2i2i2i−2i2i−2i−2i2i2-22-22-22i−2i2-2−2i2i2i−2i2i−2i0000002-22i−2i0000000000000000000000000000000000000000000000000000−2i2i-220000
χ552-2-222i−2i−2i2i22-22−2i2i-2-22-2-22−2i2i2i−2i2i−2i−2i2i2-22-2-22−2i2i-22−2i2i2i−2i−2i2i000000-22−2i2i0000000000000000002i−2i2-200000000000000000000002i−2i2-2000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-2-22-2-22−2i2i2i−2i2i−2i−2i2i2-22-2-22−2i2i-22−2i2i2i−2i−2i2i000000-22−2i2i000000000000000000−2i2i-220000000000000000000000−2i2i-22000000000000
χ572-2-222i−2i−2i2i-12-22−2i2i1-22-21-1i−i−ii2i−2i−2i2i-11-11-22−2i2i1-1i−i−iii−i0000001-1i−i−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13002i−2i2-2000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−ii-11000000000000
χ582-2-222i−2i−2i2i-12-22−2i2i1-22-21-1i−i−ii2i−2i−2i2i-11-11-22−2i2i1-1i−i−iii−i0000001-1i−i−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−2i2i-22000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300i−i1-1000000000000
χ592-2-222i−2i−2i2i-12-22−2i2i1-22-21-1i−i−ii2i−2i−2i2i-11-11-22−2i2i1-1i−i−iii−i0000001-1i−iζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13002i−2i2-2000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ii-11000000000000
χ602-2-222i−2i−2i2i-12-22−2i2i1-22-21-1i−i−ii2i−2i−2i2i-11-11-22−2i2i1-1i−i−iii−i0000001-1i−iζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−2i2i-22000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300i−i1-1000000000000
χ612-2-22−2i2i2i−2i222-2−2i2i-2-22-2-222i−2i−2i2i−2i2i2i−2i2-22-22-2−2i2i2-22i−2i−2i2i−2i2i0000002-2−2i2i00000000000000000000000000000000000000000000000000002i−2i-220000
χ622-2-22−2i2i2i−2i222-2−2i2i-2-22-2-222i−2i−2i2i−2i2i2i−2i2-22-22-2−2i2i2-22i−2i−2i2i−2i2i0000002-2−2i2i0000000000000000000000000000000000000000000000000000−2i2i2-20000
χ632-2-22−2i2i2i−2i22-222i−2i-2-22-2-222i−2i−2i2i−2i2i2i−2i2-22-2-222i−2i-222i−2i−2i2i2i−2i000000-222i−2i0000000000000000002i−2i-2200000000000000000000002i−2i-22000000000000
χ642-2-22−2i2i2i−2i22-222i−2i-2-22-2-222i−2i−2i2i−2i2i2i−2i2-22-2-222i−2i-222i−2i−2i2i2i−2i000000-222i−2i000000000000000000−2i2i2-20000000000000000000000−2i2i2-2000000000000
χ652-2-22−2i2i2i−2i-12-222i−2i1-22-21-1−iii−i−2i2i2i−2i-11-11-222i−2i1-1−iii−i−ii0000001-1−iiζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23002i−2i-22000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−ii1-1000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.