Finite Group Databasebeta

← Group #11777692

Character table — Group #11777692

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222444433444466666612121212121212123666121212121212121212121212888844121212121212121212121212121212121212121244448888882424242424242424242424242424242488121212122424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i1-111-1-111-1-111-1-11111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i1-111-1-111-1-111-1-11111-1-1-1-1-1-111i−i-1-111ii−i−iii−i−i-1-1-1-11111i−i-1-111ii−i−i−i−iii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-11-1-111-1-11111-1-1-1-1-1-1111111-1-1i−i-1-111ii−i−iii−i−i-1-1-1-11111−ii11-1-1−i−iiiii−i−i−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-11-1-111-1-11111-1-1-1-1-1-11111-1-111i−i11-1-1ii−i−iii−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iiiii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii1-111-1-111-1-111-1-11111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii1-111-1-111-1-111-1-11111-1-1-1-1-1-111−ii-1-111−i−iii−i−iii-1-1-1-11111−ii-1-111−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-11-1-111-1-11111-1-1-1-1-1-1111111-1-1−ii-1-111−i−iii−i−iii-1-1-1-11111i−i11-1-1ii−i−i−i−iiiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-11-1-111-1-11111-1-1-1-1-1-11111-1-111−ii11-1-1−i−iii−i−iii1111-1-1-1-1i−i-1-111ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-222220000000000-2-2-2-2000000000000-2-20000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000-2-2-2-20000000000002200002222-2-2-2-200000000000000000000000000
χ19222222222-122222-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ20222222222-122222-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111001111000000000000
χ21222222222-122222-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-21111-1-1-1-111111111222200-2-2-2-2000000001111111100-1-1-1-1000000000000
χ22222222222-122222-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-200222200000000-1-1-1-1-1-1-1-1001111000000000000
χ2322222222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ2422222222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-2-21111-2-2-2-2-1-1-1-1111111110000220000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ2522222222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111111100000000-2-20000111100000000
χ2622222222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000-2-200001111111100000000220000-1-1-1-100000000
χ2722222222-12-2-2-2-2-12-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i30000-2-200001111-1-1-1-100000000000000−i3i3−i3i300000000
χ2822222222-12-2-2-2-2-12-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i30000-2-200001111-1-1-1-100000000000000i3−i3i3−i300000000
χ2922222222-12-2-2-2-2-12-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i30000220000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ3022222222-12-2-2-2-2-12-1-1222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i30000220000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-22i2i−2i−2i0000000000-2-222000000000000−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2−2i−2i2i2i0000000000-2-2220000000000002i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ332222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-2-2-1-111-1-111-1-1-1-1111122-2-20022-2-200000000-1-1-1-1111100-1-111000000000000
χ342222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-2-2-1-111-1-111-1-1-1-11111-2-22200-2-222000000001111-1-1-1-10011-1-1000000000000
χ352222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-22211-1-1-1-1111111-1-1-1-122-2-200-2-222000000001111-1-1-1-100-1-111000000000000
χ362222-2-2-2-22-122-2-22-122-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-22211-1-1-1-1111111-1-1-1-1-2-2220022-2-200000000-1-1-1-111110011-1-1000000000000
χ372222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i2-2-1-11122-2-2-1-111-1-1-1-1111100002i−2i0000−i−iii−i−iii000000002i−2i0000−i−iii00000000
χ382222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i-2211-1-1-2-222-1-1111111-1-1-1-100002i−2i0000−i−iii−i−iii00000000−2i2i0000ii−i−i00000000
χ392222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i2-2-1-11122-2-2-1-111-1-1-1-111110000−2i2i0000ii−i−iii−i−i00000000−2i2i0000ii−i−i00000000
χ402222-2-2-2-2-1222-2-2-12-1-122-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i-2211-1-1-2-222-1-1111111-1-1-1-10000−2i2i0000ii−i−iii−i−i000000002i−2i0000−i−iii00000000
χ412222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i30000−2i2i0000ii−i−i−i−iii000000000000003−3−3300000000
χ422222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i30000−2i2i0000ii−i−i−i−iii00000000000000−333−300000000
χ432222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i300002i−2i0000−i−iiiii−i−i00000000000000−333−300000000
χ442222-2-2-2-2-12-2-222-12-1-122-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i300002i−2i0000−i−iiiii−i−i000000000000003−3−3300000000
χ452-22-22i−2i2i−2i220000-2-22-22-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002−2−i2i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322−2−2−i2−i2i2i2000000000000001+i−1−i1−i−1+i
χ462-22-22i−2i2i−2i220000-2-22-22-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−22i2−i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2−222i2i2−i2−i200000000000000−1−i1+i−1+i1−i
χ472-22-22i−2i2i−2i220000-2-22-22-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000002−2−i2i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322−2−2−i2−i2i2i200000000000000−1−i1+i−1+i1−i
χ482-22-22i−2i2i−2i220000-2-22-22-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−22i2−i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2−222i2i2−i2−i2000000000000001+i−1−i1−i−1+i
χ492-22-2−2i2i−2i2i220000-2-22-22-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000002−2i2−i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322−2−2i2i2−i2−i2000000000000001−i−1+i1+i−1−i
χ502-22-2−2i2i−2i2i220000-2-22-22-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−22−i2i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2−222−i2−i2i2i200000000000000−1+i1−i−1−i1+i
χ512-22-2−2i2i−2i2i220000-2-22-22-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002−2i2−i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322−2−2i2i2−i2−i200000000000000−1+i1−i−1−i1+i
χ522-22-2−2i2i−2i2i220000-2-22-22-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−22−i2i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2−222−i2−i2i2i2000000000000001−i−1+i1+i−1−i
χ532-2-222i−2i−2i2i222-22i−2i-2-2-22-222i−2i2i−2i−2i2i2i−2i2-2-222-22i−2i2i−2i2i−2i2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ542-2-222i−2i−2i2i222-22i−2i-2-2-22-222i−2i2i−2i−2i2i2i−2i2-2-222-22i−2i2i−2i2i−2i2i−2i2-2000000000000002-22i−2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ552-2-222i−2i−2i2i22-22−2i2i-2-2-22-222i−2i2i−2i−2i2i2i−2i2-2-22-22−2i2i−2i2i2i−2i2i−2i-2200000000000000-22−2i2i000000002i−2i2-20000000000000000000000002i−2i2-2000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-2-2-22-222i−2i2i−2i−2i2i2i−2i2-2-22-22−2i2i−2i2i2i−2i2i−2i-2200000000000000-22−2i2i00000000−2i2i-22000000000000000000000000−2i2i-22000000000000
χ572-2-222i−2i−2i2i2-1-22−2i2i-21-221-1−ii−ii−2i2i2i−2i-111-1-22−2i2ii−i−ii−ii1-100000000003−3−i3i31-1i−i3−33−3−i3i3−i3i32i−2i2-200000000000000−i3i3−i3i33−33−300−ii-11000000000000
χ582-2-222i−2i−2i2i2-1-22−2i2i-21-221-1−ii−ii−2i2i2i−2i-111-1-22−2i2ii−i−ii−ii1-100000000003−3−i3i31-1i−i3−33−3−i3i3−i3i3−2i2i-2200000000000000i3−i3i3−i3−33−3300i−i1-1000000000000
χ592-2-222i−2i−2i2i2-1-22−2i2i-21-221-1−ii−ii−2i2i2i−2i-111-1-22−2i2ii−i−ii−ii1-10000000000−33i3−i31-1i−i−33−33i3−i3i3−i32i−2i2-200000000000000i3−i3i3−i3−33−3300−ii-11000000000000
χ602-2-222i−2i−2i2i2-1-22−2i2i-21-221-1−ii−ii−2i2i2i−2i-111-1-22−2i2ii−i−ii−ii1-10000000000−33i3−i31-1i−i−33−33i3−i3i3−i3−2i2i-2200000000000000−i3i3−i3i33−33−300i−i1-1000000000000
χ612-2-22−2i2i2i−2i222-2−2i2i-2-2-22-22−2i2i−2i2i2i−2i−2i2i2-2-222-2−2i2i−2i2i−2i2i−2i2i2-2000000000000002-2−2i2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ622-2-22−2i2i2i−2i222-2−2i2i-2-2-22-22−2i2i−2i2i2i−2i−2i2i2-2-222-2−2i2i−2i2i−2i2i−2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ632-2-22−2i2i2i−2i22-222i−2i-2-2-22-22−2i2i−2i2i2i−2i−2i2i2-2-22-222i−2i2i−2i−2i2i−2i2i-2200000000000000-222i−2i000000002i−2i-220000000000000000000000002i−2i-22000000000000
χ642-2-22−2i2i2i−2i22-222i−2i-2-2-22-22−2i2i−2i2i2i−2i−2i2i2-2-22-222i−2i2i−2i−2i2i−2i2i-2200000000000000-222i−2i00000000−2i2i2-2000000000000000000000000−2i2i2-2000000000000
χ652-2-22−2i2i2i−2i2-1-222i−2i-21-221-1i−ii−i2i−2i−2i2i-111-1-222i−2i−iii−ii−i1-100000000003−3i3−i31-1−ii3−33−3i3−i3i3−i32i−2i-2200000000000000−i3i3−i3i3−33−3300−ii1-1000000000000
χ662-2-22−2i2i2i−2i2-1-222i−2i-21-221-1i−ii−i2i−2i−2i2i-111-1-222i−2i−iii−ii−i1-100000000003−3i3−i31-1−ii3−33−3i3−i3i3−i3−2i2i2-200000000000000i3−i3i3−i33−33−300i−i-11000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.