Finite Group Databasebeta

← Group #11787684

Character table — Group #11787684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order122222334444666666121212123444466666661212121212121212121212121212121212126612121212121212121212121212122244444444446666121212121212121212121212121212121212121288242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ611111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ811111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111
χ91-1-111-1111-11-11-1-1-11-1-1-1111i−ii−i11-11-1-1-11-1ii−i−i11-1-1ii−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1-1ii−i−i1-1ii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-11-1i−i
χ101-1-111-1111-11-11-1-1-11-1-1-1111i−ii−i11-11-1-1-11-1ii−i−i11-1-1ii−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1-1ii−i−i1-1−i−iii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111-11−ii
χ111-1-111-1111-11-11-1-1-11-1-1-1111i−ii−i11-11-1-1-11-1ii−i−i11-1-1ii−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i-11−i−iii-11ii−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1-11−ii
χ121-1-111-1111-11-11-1-1-11-1-1-1111i−ii−i11-11-1-1-11-1ii−i−i11-1-1ii−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i-11−i−iii-11−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-1111-1i−i
χ131-1-111-1111-11-11-1-1-11-1-1-1111−ii−ii11-11-1-1-11-1−i−iii11-1-1−i−iii11-1-11-1−i−iii1-1−i−i−i−iiiii1-1−i−iii1-1ii−i−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-11i−i
χ141-1-111-1111-11-11-1-1-11-1-1-1111−ii−ii11-11-1-1-11-1−i−iii11-1-1−i−iii11-1-11-1−i−iii1-1−i−i−i−iiiii1-1−i−iii1-1−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-11-1−ii
χ151-1-111-1111-11-11-1-1-11-1-1-1111−ii−ii11-11-1-1-11-1−i−iii11-1-1−i−iii11-1-11-1−i−iii1-1−i−i−i−iiiii-11ii−i−i-11ii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-1111-1−ii
χ161-1-111-1111-11-11-1-1-11-1-1-1111−ii−ii11-11-1-1-11-1−i−iii11-1-1−i−iii11-1-11-1−i−iii1-1−i−i−i−iiiii-11ii−i−i-11−i−iii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1-11i−i
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-20000-2-2-2-20000-2-2-2-2220000-2-200000000002-22-20000000000000022-2-222-2-2000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-20000-2-2-2-20000-2-2-2-2220000-2-20000000000-22-2200000000000000-2-222-2-222000000000000000000
χ192222222-12222222-1-1-12222-122222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ202222222-12222222-1-1-12222-122222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ212222222-12222222-1-1-12222-1-2-2-2-22-1-1-1-1-12221111-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-2-2220000-1-1-1-1-1-1-1-111111111000000000000000000
χ222222222-12222222-1-1-12222-1-2-2-2-22-1-1-1-1-12221111-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-1-111111111-2-22222-2-2000011111111-1-1-1-1-1-1-1-1000000000000000000
χ232222222-1-2-2-2-2222-1-1-1-2-2-2-2-100002-1-1-1-1-12-2-2−i3i3−i3i31111−i3i3−i3i31111-1-1000011−i3−i3i3i3−i3−i3i3i3002-22-2000000−i3i3−i3i3−i3i3−i3i3-1-111-1-111000000000000000000
χ242222222-1-2-2-2-2222-1-1-1-2-2-2-2-100002-1-1-1-1-12-2-2−i3i3−i3i31111−i3i3−i3i31111-1-1000011−i3−i3i3i3−i3−i3i3i300-22-22000000i3−i3i3−i3i3−i3i3−i311-1-111-1-1000000000000000000
χ252222222-1-2-2-2-2222-1-1-1-2-2-2-2-100002-1-1-1-1-12-2-2i3−i3i3−i31111i3−i3i3−i31111-1-1000011i3i3−i3−i3i3i3−i3−i3002-22-2000000i3−i3i3−i3i3−i3i3−i3-1-111-1-111000000000000000000
χ262222222-1-2-2-2-2222-1-1-1-2-2-2-2-100002-1-1-1-1-12-2-2i3−i3i3−i31111i3−i3i3−i31111-1-1000011i3i3−i3−i3i3i3−i3−i300-22-22000000−i3i3−i3i3−i3i3−i3i311-1-111-1-1000000000000000000
χ27222222-122222-1-1-1222-1-1-1-1-12222-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ28222222-122222-1-1-1222-1-1-1-1-12222-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111-2-211110000
χ29222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111-1-1111111110000000022220000000000000000-1-1-1-1-1-1-1-1-2-211110000
χ30222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111-1-11111111100000000-2-2-2-200000000000000001111111122-1-1-1-10000
χ312222-2-2222-2-22222222-2-2-2-2222-2-2-2-2-2222-22222222-22-2-2-2-2-2-2-2-2-2-2-22-22-2222-22-22-22-20000000000000000000000000000000000000000000000
χ322222-2-2222-2-22222222-2-2-2-22-2-222-2-2-2222-222-2-2-2-22-22-22222-2-2-2-2-2-2-22-2222-22-22-22-220000000000000000000000000000000000000000000000
χ332222-2-222-222-2222222222220000-2-2-2222-2-2-20000-22-2200002222-2-20000-2-200000000220000-2-200002222-2-2-2-200000000000000000000000000
χ342222-2-222-222-2222222222220000-2-2-2222-2-2-20000-22-2200002222-2-20000-2-200000000-2-20000220000-2-2-2-2222200000000000000000000000000
χ352222-2-22-12-2-22222-1-1-1-2-2-2-2-122-2-2-211-1-1-1-222-1-1-1-1-11-1111111111112-22-2-1-1-11-11-11-11000000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ362222-2-22-12-2-22222-1-1-1-2-2-2-2-122-2-2-211-1-1-1-222-1-1-1-1-11-1111111111112-22-2-1-1-11-11-11-11000000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ372222-2-22-12-2-22222-1-1-1-2-2-2-2-1-2-222-211-1-1-1-2221111-11-11-1-1-1-1111111-22-22-1-11-11-11-11-1000000000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ382222-2-22-12-2-22222-1-1-1-2-2-2-2-1-2-222-211-1-1-1-2221111-11-11-1-1-1-1111111-22-22-1-11-11-11-11-1000000000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ392222-2-22-1-222-2222-1-1-12222-10000-211-1-1-1-2-2-2−i3i3−i3i31-11-1i3−i3i3−i3-1-1-1-111000011−i3i3i3−i3−i3i3i3−i3220000-2-20000-1-1-1-11111−i3i3i3−i3−i3i3i3−i3000000000000000000
χ402222-2-22-1-222-2222-1-1-12222-10000-211-1-1-1-2-2-2−i3i3−i3i31-11-1i3−i3i3−i3-1-1-1-111000011−i3i3i3−i3−i3i3i3−i3-2-200002200001111-1-1-1-1i3−i3−i3i3i3−i3−i3i3000000000000000000
χ412222-2-22-1-222-2222-1-1-12222-10000-211-1-1-1-2-2-2i3−i3i3−i31-11-1−i3i3−i3i3-1-1-1-111000011i3−i3−i3i3i3−i3−i3i3220000-2-20000-1-1-1-11111i3−i3−i3i3i3−i3−i3i3000000000000000000
χ422222-2-22-1-222-2222-1-1-12222-10000-211-1-1-1-2-2-2i3−i3i3−i31-11-1−i3i3−i3i3-1-1-1-111000011i3−i3−i3i3i3−i3−i3i3-2-200002200001111-1-1-1-1−i3i3i3−i3−i3i3i3−i3000000000000000000
χ432222-2-2-122-2-22-1-1-12221111-122-2-21-2-2-1-1-11-1-122222-22-2-2-2-2-2111111-11-11-1-1-11-11-11-11000000000000000000000000000033−3−333−3−3003−33−30000
χ442222-2-2-122-2-22-1-1-12221111-122-2-21-2-2-1-1-11-1-122222-22-2-2-2-2-2111111-11-11-1-1-11-11-11-110000000000000000000000000000−3−333−3−33300−33−330000
χ452222-2-2-122-2-22-1-1-12221111-1-2-2221-2-2-1-1-11-1-1-2-2-2-22-22-222221111111-11-1-1-11-11-11-11-1000000000000000000000000000033−3−333−3−300−33−330000
χ462222-2-2-122-2-22-1-1-12221111-1-2-2221-2-2-1-1-11-1-1-2-2-2-22-22-222221111111-11-1-1-11-11-11-11-10000000000000000000000000000−3−333−3−333003−33−30000
χ472-2-222-222-22-222-2-2-22-222-2-22000022-22-2-2-2-220000-2-2220000-2-2222-20000-2200000000002i−2i−2i2i000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ482-2-222-222-22-222-2-2-22-222-2-22000022-22-2-2-2-220000-2-2220000-2-2222-20000-220000000000−2i2i2i−2i00000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ492-2-222-22-12-22-22-2-21-11-2-222-12i−2i2i−2i2-11-111-22-2−i−iii-1-111−i−iii-1-111-112i2i−2i−2i-11−i−i−i−iiiii2-22i2i−2i−2i2-20000-1-111-1-111−i−i−i−iiiii000000000000000000
χ502-2-222-22-12-22-22-2-21-11-2-222-12i−2i2i−2i2-11-111-22-2−i−iii-1-111−i−iii-1-111-112i2i−2i−2i-11−i−i−i−iiiii-22−2i−2i2i2i-22000011-1-111-1-1iiii−i−i−i−i000000000000000000
χ512-2-222-22-12-22-22-2-21-11-2-222-1−2i2i−2i2i2-11-111-22-2ii−i−i-1-111ii−i−i-1-111-11−2i−2i2i2i-11iiii−i−i−i−i2-2−2i−2i2i2i2-20000-1-111-1-111iiii−i−i−i−i000000000000000000
χ522-2-222-22-12-22-22-2-21-11-2-222-1−2i2i−2i2i2-11-111-22-2ii−i−i-1-111ii−i−i-1-111-11−2i−2i2i2i-11iiii−i−i−i−i-222i2i−2i−2i-22000011-1-111-1-1−i−i−i−iiiii000000000000000000
χ532-2-222-22-1-22-222-2-21-1122-2-2-100002-11-111-2-223−3−3311-1-13−3−3311-1-1-1100001-133−3−3−3−333002i−2i−2i2i000000−i3i3i3−i3−i3i3i3−i3−i−iiiii−i−i000000000000000000
χ542-2-222-22-1-22-222-2-21-1122-2-2-100002-11-111-2-223−3−3311-1-13−3−3311-1-1-1100001-133−3−3−3−33300−2i2i2i−2i000000i3−i3−i3i3i3−i3−i3i3ii−i−i−i−iii000000000000000000
χ552-2-222-22-1-22-222-2-21-1122-2-2-100002-11-111-2-22−333−311-1-1−333−311-1-1-1100001-1−3−33333−3−3002i−2i−2i2i000000i3−i3−i3i3i3−i3−i3i3−i−iiiii−i−i000000000000000000
χ562-2-222-22-1-22-222-2-21-1122-2-2-100002-11-111-2-22−333−311-1-1−333−311-1-1-1100001-1−3−33333−3−300−2i2i2i−2i000000−i3i3i3−i3−i3i3i3−i3ii−i−i−i−iii000000000000000000
χ572-2-222-2-122-22-2-111-22-211-1-1-12i−2i2i−2i-12-2-1111-112i2i−2i−2i22-2-22i2i−2i−2i-1-111-11−i−iii-11−i−i−i−iiiii000000002i2i−2i−2i0000000000000000−i−i−i−iiiii2-2-1-1110000
χ582-2-222-2-122-22-2-111-22-211-1-1-12i−2i2i−2i-12-2-1111-112i2i−2i−2i22-2-22i2i−2i−2i-1-111-11−i−iii-11−i−i−i−iiiii00000000−2i−2i2i2i0000000000000000iiii−i−i−i−i-2211-1-10000
χ592-2-222-2-122-22-2-111-22-211-1-1-1−2i2i−2i2i-12-2-1111-11−2i−2i2i2i22-2-2−2i−2i2i2i-1-111-11ii−i−i-11iiii−i−i−i−i000000002i2i−2i−2i0000000000000000−i−i−i−iiiii-2211-1-10000
χ602-2-222-2-122-22-2-111-22-211-1-1-1−2i2i−2i2i-12-2-1111-11−2i−2i2i2i22-2-2−2i−2i2i2i-1-111-11ii−i−i-11iiii−i−i−i−i00000000−2i−2i2i2i0000000000000000iiii−i−i−i−i2-2-1-1110000
χ612-2-22-222222-2-22-2-2-22-222-2-222i−2i−2i2i-2-222-2-222-22i2i−2i−2i2-2-22−2i−2i2i2i-2-222-222i−2i−2i2i2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ622-2-22-222222-2-22-2-2-22-222-2-22−2i2i2i−2i-2-222-2-222-2−2i−2i2i2i2-2-222i2i−2i−2i-2-222-22−2i2i2i−2i2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ632-2-22-2222-2-2222-2-2-22-2-2-22220000-2-222-2-22-220000-222-2000022-2-2-220000-22000000002-20000-22000022-2-2-2-22200000000000000000000000000
χ642-2-22-2222-2-2222-2-2-22-2-2-22220000-2-222-2-22-220000-222-2000022-2-2-220000-2200000000-2200002-20000-2-22222-2-200000000000000000000000000
χ652-2-22-222-122-2-22-2-21-1122-2-2-12i−2i−2i2i-21-1-11122-2−i−iii-111-1ii−i−i11-1-11-12i−2i−2i2i-11−ii−iii−ii−i000000000000−i3i3i3−i3i3−i3−i3i33−33−3−33−33000000000000000000
χ662-2-22-222-122-2-22-2-21-1122-2-2-12i−2i−2i2i-21-1-11122-2−i−iii-111-1ii−i−i11-1-11-12i−2i−2i2i-11−ii−iii−ii−i000000000000i3−i3−i3i3−i3i3i3−i3−33−333−33−3000000000000000000
χ672-2-22-222-122-2-22-2-21-1122-2-2-1−2i2i2i−2i-21-1-11122-2ii−i−i-111-1−i−iii11-1-11-1−2i2i2i−2i-11i−ii−i−ii−ii000000000000−i3i3i3−i3i3−i3−i3i3−33−333−33−3000000000000000000
χ682-2-22-222-122-2-22-2-21-1122-2-2-1−2i2i2i−2i-21-1-11122-2ii−i−i-111-1−i−iii11-1-11-1−2i2i2i−2i-11i−ii−i−ii−ii000000000000i3−i3−i3i3−i3i3i3−i33−33−3−33−33000000000000000000
χ692-2-22-222-1-2-2222-2-21-11-2-222-10000-21-1-1112-223−3−331-1-11−333−3-1-1111-100001-13−3−33−333−32-20000-220000-1-11111-1-13−3−33−333−3000000000000000000
χ702-2-22-222-1-2-2222-2-21-11-2-222-10000-21-1-1112-223−3−331-1-11−333−3-1-1111-100001-13−3−33−333−3-2200002-2000011-1-1-1-111−333−33−3−33000000000000000000
χ712-2-22-222-1-2-2222-2-21-11-2-222-10000-21-1-1112-22−333−31-1-113−3−33-1-1111-100001-1−333−33−3−332-20000-220000-1-11111-1-1−333−33−3−33000000000000000000
χ722-2-22-222-1-2-2222-2-21-11-2-222-10000-21-1-1112-22−333−31-1-113−3−33-1-1111-100001-1−333−33−3−33-2200002-2000011-1-1-1-1113−3−33−333−3000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.