Finite Group Databasebeta

← Group #11777499

Character table — Group #11777499

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444334444666666121212121212121236661212121212121212121212128888246666666612121212121212121212121244448888882424242424242424242424242424242488121212122424242488888888
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i1-111111111-1-1-1-111-1-1-1-1-1-111-1-1i−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−i1-111111111-1-1-1-111-1-1-1-1-1-1-1-111i−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-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1i−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-11-1-1-1-1-1-1-1-1111111-1-11111-1-111i−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−iii1-111111111-1-1-1-111-1-1-1-1-1-111-1-1−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−iii1-111111111-1-1-1-111-1-1-1-1-1-1-1-111−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-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1−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-11-1-1-1-1-1-1-1-1111111-1-11111-1-111−ii11-1-1−i−iii−i−iii1111-1-1-1-1i−i-1-111ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200000000000000-2-2-2-200000000-2-20000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000-2-2-2-2000000002200002222-2-2-2-200000000000000000000000000
χ19222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ20222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111001111000000000000
χ21222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2111111-2-211-1-1-1-11111222200-2-2-2-2000000001111111100-1-1-1-1000000000000
χ22222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2111111-2-211-1-1-1-11111-2-2-2-200222200000000-1-1-1-1-1-1-1-1001111000000000000
χ2322222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ2422222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-2-211-2-2111111-2-2-1-1-1-111110000220000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ2522222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200001111111100000000-2-20000111100000000
χ2622222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-211-2-2111111-2-2-1-1-1-111110000-2-200001111111100000000220000-1-1-1-100000000
χ2722222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200−i3i300−i3−i3i3i3−i3i3001111−i3−i3i3i30000-2-200001111-1-1-1-100000000000000−i3i3−i3i300000000
χ2822222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200i3−i300i3i3−i3−i3i3−i3001111i3i3−i3−i30000-2-200001111-1-1-1-100000000000000i3−i3i3−i300000000
χ2922222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200−i3i300−i3−i3i3i3−i3i3001111−i3−i3i3i30000220000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ3022222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200i3−i300i3i3−i3−i3i3−i3001111i3i3−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−2i00000000000000-2-22200000000−2i2i0000−2i−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−2i2i2i00000000000000-2-222000000002i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-1-1-1-1-1-1-2-211-1-111111122-2-20022-2-200000000-1-1-1-1111100-1-111000000000000
χ342222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-1-1-1-1-1-1-2-211-1-1111111-2-22200-2-222000000001111-1-1-1-10011-1-1000000000000
χ352222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-211111122-1-1-1-111-1-1-1-122-2-200-2-222000000001111-1-1-1-100-1-111000000000000
χ362222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-211111122-1-1-1-111-1-1-1-1-2-2220022-2-200000000-1-1-1-111110011-1-1000000000000
χ372222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i2-2-1-122-1-1-1-111-2-2-1-111111100002i−2i0000−i−iii−i−iii000000002i−2i0000−i−iii00000000
χ382222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i-2211-2-21111-1-122-1-111-1-1-1-100002i−2i0000−i−iii−i−iii00000000−2i2i0000ii−i−i00000000
χ392222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i2-2-1-122-1-1-1-111-2-2-1-11111110000−2i2i0000ii−i−iii−i−i00000000−2i2i0000ii−i−i00000000
χ402222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i-2211-2-21111-1-122-1-111-1-1-1-10000−2i2i0000ii−i−iii−i−i000000002i−2i0000−i−iii00000000
χ412222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00−i3i300−i3−i3i3i3i3−i30011-1-1i3i3−i3−i30000−2i2i0000ii−i−i−i−iii000000000000003−3−3300000000
χ422222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00i3−i300i3i3−i3−i3−i3i30011-1-1−i3−i3i3i30000−2i2i0000ii−i−i−i−iii00000000000000−333−300000000
χ432222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00−i3i300−i3−i3i3i3i3−i30011-1-1i3i3−i3−i300002i−2i0000−i−iiiii−i−i00000000000000−333−300000000
χ442222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00i3−i300i3i3−i3−i3−i3i30011-1-1−i3−i3i3i300002i−2i0000−i−iiiii−i−i000000000000003−3−3300000000
χ4522-2-222-2-2220000-2-222-2-222-2-2-2-2222-2-2200000022-2-2002-22-20000000000000000000000000000−i2i2−i2i200002-22-2−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i2
χ4622-2-222-2-2220000-2-222-2-222-2-2-2-2222-2-2200000022-2-2002-22-20000000000000000000000000000i2−i2i2−i200002-22-2i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2
χ4722-2-222-2-2220000-2-222-2-222-2-2-2-2222-2-2200000022-2-200-22-220000000000000000000000000000−i2i2−i2i20000-22-22−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i2
χ4822-2-222-2-2220000-2-222-2-222-2-2-2-2222-2-2200000022-2-200-22-220000000000000000000000000000i2−i2i2−i20000-22-22i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i2
χ4922-2-2-2-222220000-2-222-2-2-2-22222-2-22-2-22000000-2-222002i−2i−2i2i0000000000000000000000000000−i2i2i2−i200002i−2i−2i2i−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ5022-2-2-2-222220000-2-222-2-2-2-22222-2-22-2-22000000-2-222002i−2i−2i2i0000000000000000000000000000i2−i2−i2i200002i−2i−2i2ii2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ5122-2-2-2-222220000-2-222-2-2-2-22222-2-22-2-22000000-2-22200−2i2i2i−2i0000000000000000000000000000−i2i2i2−i20000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ5222-2-2-2-222220000-2-222-2-2-2-22222-2-22-2-22000000-2-22200−2i2i2i−2i0000000000000000000000000000i2−i2−i2i20000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ532-22-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2i−2i2i−2i2i−2i2-20000000000000000002-22i−2i00000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ542-22-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2i−2i2i−2i2i−2i2-20000000000000000002-22i−2i0000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ552-22-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i−2i2i2i−2i2i−2i-22000000000000000000-22−2i2i00002-22i−2i0000000000000000000000002-22i−2i000000000000
χ562-22-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i−2i2i2i−2i2i−2i-22000000000000000000-22−2i2i0000-22−2i2i000000000000000000000000-22−2i2i000000000000
χ572-22-22i−2i2i−2i2-1-22−2i2i2-2-21-11−ii−ii2i−2i2i−2i-1-111-22−2i2ii−i−ii−ii1-100000000−i3i3−i3i3−i3i3003−31-1i−i3−33−32-22i−2i00000000000000−i3i3−i3i33−33−300-11−ii000000000000
χ582-22-22i−2i2i−2i2-1-22−2i2i2-2-21-11−ii−ii2i−2i2i−2i-1-111-22−2i2ii−i−ii−ii1-100000000−i3i3−i3i3−i3i3003−31-1i−i3−33−3-22−2i2i00000000000000i3−i3i3−i3−33−33001-1i−i000000000000
χ592-22-22i−2i2i−2i2-1-22−2i2i2-2-21-11−ii−ii2i−2i2i−2i-1-111-22−2i2ii−i−ii−ii1-100000000i3−i3i3−i3i3−i300−331-1i−i−33−332-22i−2i00000000000000i3−i3i3−i3−33−3300-11−ii000000000000
χ602-22-22i−2i2i−2i2-1-22−2i2i2-2-21-11−ii−ii2i−2i2i−2i-1-111-22−2i2ii−i−ii−ii1-100000000i3−i3i3−i3i3−i300−331-1i−i−33−33-22−2i2i00000000000000−i3i3−i3i33−33−3001-1i−i000000000000
χ612-22-2−2i2i−2i2i222-2−2i2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000002-2−2i2i0000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ622-22-2−2i2i−2i2i222-2−2i2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000002-2−2i2i00000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ632-22-2−2i2i−2i2i22-222i−2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i2i−2i−2i2i−2i2i-22000000000000000000-222i−2i00002-2−2i2i0000000000000000000000002-2−2i2i000000000000
χ642-22-2−2i2i−2i2i22-222i−2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i2i−2i−2i2i−2i2i-22000000000000000000-222i−2i0000-222i−2i000000000000000000000000-222i−2i000000000000
χ652-22-2−2i2i−2i2i2-1-222i−2i2-2-21-11i−ii−i−2i2i−2i2i-1-111-222i−2i−iii−ii−i1-100000000−i3i3−i3i3−i3i300−331-1−ii−33−332-2−2i2i00000000000000−i3i3−i3i3−33−3300-11i−i000000000000
χ662-22-2−2i2i−2i2i2-1-222i−2i2-2-21-11i−ii−i−2i2i−2i2i-1-111-222i−2i−iii−ii−i1-100000000−i3i3−i3i3−i3i300−331-1−ii−33−33-222i−2i00000000000000i3−i3i3−i33−33−3001-1−ii000000000000
χ672-22-2−2i2i−2i2i2-1-222i−2i2-2-21-11i−ii−i−2i2i−2i2i-1-111-222i−2i−iii−ii−i1-100000000i3−i3i3−i3i3−i3003−31-1−ii3−33−32-2−2i2i00000000000000i3−i3i3−i33−33−300-11i−i000000000000
χ682-22-2−2i2i−2i2i2-1-222i−2i2-2-21-11i−ii−i−2i2i−2i2i-1-111-222i−2i−iii−ii−i1-100000000i3−i3i3−i3i3−i3003−31-1−ii3−33−3-222i−2i00000000000000−i3i3−i3i3−33−33001-1−ii000000000000
χ69444444444-2-4-4-4-4444-2-2-2-2-2-2-24444-2-2-2-2-4-4-4-422-2-2-2-2220000000000000000002222000000000000000000000000000000000000000000000000
χ7044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2000044-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000000000000000
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χ1148-8-88−8i8i8i−8i-4-400004-4444-44i−4i−4i4i−4i4i4i−4i2-22-2000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000

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