Finite Group Databasebeta

← Group #11791851

Character table — Group #11791851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222222233444466666666666666344666666666666666666666661212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ7111111111111-1-1-1-1111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111-1-1-1-1111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ9111111-1-1-1-11111-1-11111111-1-111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−i1111ii−i−iii−i−i-1-1-1-1ii−i−iii−i−i
χ10111111-1-1-1-11111-1-11111111-1-111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii1111−i−iii−i−iii-1-1-1-1−i−iii−i−iii
χ11111111-1-1-1-11111-1-11111111-1-111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−i-1-1-1-1ii−i−iii−i−i1111−i−iii−i−iii
χ12111111-1-1-1-11111-1-11111111-1-111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−ii-1-1-1-1−i−iii−i−iii1111ii−i−iii−i−i
χ13111111-1-1-1-111-1-1111111111-1-111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11i−i−ii11-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii
χ14111111-1-1-1-111-1-1111111111-1-111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11−iii−i11-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i
χ15111111-1-1-1-111-1-1111111111-1-111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1i−i−ii-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i
χ16111111-1-1-1-111-1-1111111111-1-111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1−iii−i-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ1722222222222-1222222222-1-1-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1000000000000
χ1822222222222-1222222222-1-1-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011111111000000000000
χ1922222222222-1-2-2-2-222222-1-1-1-1-12-1-12-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111000022-2-20000-1-1-1-11111000000000000
χ2022222222222-1-2-2-2-222222-1-1-1-1-12-1-12-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000-2-22200001111-1-1-1-1000000000000
χ212222222222-122222-1-1-1-1-122222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-100000000
χ222222222222-122222-1-1-1-1-122222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100000000111100000000
χ232222222222-12-2-2-2-2-1-1-1-1-122222-122-1-1-2-222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112-22-20000-1-11100000000-1-11100000000
χ242222222222-12-2-2-2-2-1-1-1-1-122222-122-1-1-2-222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-22-22000011-1-10000000011-1-100000000
χ25222222-2-2-2-22-122-2-222222-1-111-12112-12-2-1-1-2-2-2-211-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100002i−2i2i−2i0000−i−iii−i−iii000000000000
χ26222222-2-2-2-22-122-2-222222-1-111-12112-12-2-1-1-2-2-2-211-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000−2i2i−2i2i0000ii−i−iii−i−i000000000000
χ27222222-2-2-2-22-1-2-22222222-1-111-12112-1-22-1-1-2-2-2-211-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i000000000000
χ28222222-2-2-2-22-1-2-22222222-1-111-12112-1-22-1-1-2-2-2-211-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii000000000000
χ29222222-2-2-2-2-1222-2-2-1-1-1-1-122-2-22-1-2-2-1-12-2221111-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-20000-1-1-1-100000000111100000000
χ30222222-2-2-2-2-1222-2-2-1-1-1-1-122-2-22-1-2-2-1-12-2221111-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2220000111100000000-1-1-1-100000000
χ31222222-2-2-2-2-12-2-222-1-1-1-1-122-2-22-1-2-2-1-1-22221111-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12-2-220000-1-1110000000011-1-100000000
χ32222222-2-2-2-2-12-2-222-1-1-1-1-122-2-22-1-2-2-1-1-22221111-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-222-2000011-1-100000000-1-11100000000
χ332222-2-222-2-22222-2-22-2-2-2-22222222222-22-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ342222-2-222-2-222-2-2222-2-2-2-222222222222-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ352222-2-222-2-22-122-2-22-2-2-2-2-1-1-1-1-12-1-12-1-221122-2-211-1-11111-1-1-1-11111-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ362222-2-222-2-22-122-2-22-2-2-2-2-1-1-1-1-12-1-12-1-221122-2-211-1-11111-1-1-1-11111-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ372222-2-222-2-22-1-2-2222-2-2-2-2-1-1-1-1-12-1-12-12-21122-2-211-1-11111-1-1-1-11111-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ382222-2-222-2-22-1-2-2222-2-2-2-2-1-1-1-1-12-1-12-12-21122-2-211-1-11111-1-1-1-11111-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ392222-2-222-2-2-1222-2-2-1111122222-122-1-1-22-2-2-1-111-2-2-1-11111-1-1-1-11111-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111100000000−i3i3−i3i300000000−i3i3−i3i300000000
χ402222-2-222-2-2-1222-2-2-1111122222-122-1-1-22-2-2-1-111-2-2-1-11111-1-1-1-11111-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111100000000i3−i3i3−i300000000i3−i3i3−i300000000
χ412222-2-222-2-2-12-2-222-1111122222-122-1-12-2-2-2-1-111-2-2-1-11111-1-1-1-11111-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000−i3i3i3−i300000000−i3i3i3−i300000000
χ422222-2-222-2-2-12-2-222-1111122222-122-1-12-2-2-2-1-111-2-2-1-11111-1-1-1-11111-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000i3−i3−i3i300000000i3−i3−i3i300000000
χ432222-2-2-2-2222222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ442222-2-2-2-22222-2-2-2-22-2-2-2-222-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ452222-2-2-2-2222-122222-2-2-2-2-1-111-12112-1-2-211-2-222-1-1-1-111111111-1-1-1-1-1-1-11111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000003−3−333−3−33000000000000
χ462222-2-2-2-2222-122222-2-2-2-2-1-111-12112-1-2-211-2-222-1-1-1-111111111-1-1-1-1-1-1-11111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000−333−3−333−3000000000000
χ472222-2-2-2-2222-1-2-2-2-22-2-2-2-2-1-111-12112-12211-2-222-1-1-1-111111111-1-1-1-1-111-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000003−3−33−333−3000000000000
χ482222-2-2-2-2222-1-2-2-2-22-2-2-2-2-1-111-12112-12211-2-222-1-1-1-111111111-1-1-1-1-111-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000−333−33−3−33000000000000
χ492222-2-2-2-222-122222-1111122-2-22-1-2-2-1-1-2-2-2-211-1-122-1-111111111-1-1-1-1-122-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-100000000−i3i3−i3i300000000i3−i3i3−i300000000
χ502222-2-2-2-222-122222-1111122-2-22-1-2-2-1-1-2-2-2-211-1-122-1-111111111-1-1-1-1-122-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-100000000i3−i3i3−i300000000−i3i3−i3i300000000
χ512222-2-2-2-222-12-2-2-2-2-1111122-2-22-1-2-2-1-122-2-211-1-122-1-111111111-1-1-1-1-1-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000−i3i3i3−i300000000i3−i3−i3i300000000
χ522222-2-2-2-222-12-2-2-2-2-1111122-2-22-1-2-2-1-122-2-211-1-122-1-111111111-1-1-1-1-1-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000i3−i3−i3i300000000−i3i3i3−i300000000
χ5322-2-22-22-22-2220000222-2-22-222-2-2-2-2-22002-22-22-22-22-222-2-222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
χ5422-2-22-22-22-2220000222-2-22-222-2-2-2-2-22002-22-22-22-22-222-2-222-2-222-2-2-2000000000000000000000000000000000000000000000000000000000000-22-22
χ5522-2-22-2-22-22220000222-2-22-2-2-2-2-222-22002-2-22-22-222-222-2-2-2-222-2-222-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ5622-2-22-2-22-22220000222-2-22-2-2-2-2-222-22002-2-22-22-222-222-2-2-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ5722-2-2-222-2-222200002-2-2222-222-2-2-2-2-2200-222-2-22-222-2-2-22222-2-2-2-222-2000000000000000000000000000000000000000000000000000000002-22-20000
χ5822-2-2-222-2-222200002-2-2222-222-2-2-2-2-2200-222-2-22-222-2-2-22222-2-2-2-222-200000000000000000000000000000000000000000000000000000000-22-220000
χ5922-2-2-22-222-22200002-2-2222-2-2-2-2-222-2200-22-222-22-22-2-2-222-2-22222-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ6022-2-2-22-222-22200002-2-2222-2-2-2-2-222-2200-22-222-22-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ614444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ624444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ63444444-4-4-4-4-2-244-4-4-2-2-2-2-2-2-222-2-222-214-4-2-2222222111111-1-1-1-1-1-1-1-11-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ64444444-4-4-4-4-2-2-4-444-2-2-2-2-2-2-222-2-222-21-44-2-2222222111111-1-1-1-1-1-1-1-112222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ654444-4-444-4-4-2-244-4-4-22222-2-2-2-2-2-2-2-2-21-4422-2-2222211-1-1-1-11111-1-1-1-11-2-222-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ664444-4-444-4-4-2-2-4-444-22222-2-2-2-2-2-2-2-2-214-422-2-2222211-1-1-1-11111-1-1-1-1122-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ674444-4-4-4-444-2-24444-22222-2-222-2-222-21-4-42222-2-2-2-211-1-1-1-1-1-1-1-111111-2-22222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ684444-4-4-4-444-2-2-4-4-4-4-22222-2-222-2-222-21442222-2-2-2-211-1-1-1-1-1-1-1-11111122-2-2-2-22222-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000000000000000
χ6944-4-44-44-44-44-20000444-4-4-22-2-22-422-4-200-224-44-4-22-22-2-222-2-222-2-22220000000000000000000000000000000000000000000000000000000000000000
χ7044-4-44-44-44-4-240000-2-2-2224-444-42-4-42-2004-4-22-224-4-22-2-222-2-222-2-22220000000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-44-44-4-2-20000-2-2-222-22-2-222222100-22-22-22-221-111-1-111-1-111-1-1-100000000000000003i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ7244-4-44-44-44-4-2-20000-2-2-222-22-2-222222100-22-22-22-221-111-1-111-1-111-1-1-10000000000000000−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
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χ1134-4-44000000-2-24-4002−2i32i32i3−2i322−2i32i3-222i3−2i3-210000000000-1-1i3−i3−i3i3i3−i3−i3i33-3-331-2200−2i32i300-22−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i33-3-3300000000000000000000000000000000
χ1144-4-44000000-2-24-4002−2i32i32i3−2i3222i3−2i3-22−2i32i3-210000000000-1-1i3−i3−i3i3−i3i3i3−i3-333-31-22002i3−2i300-22−2i32i300001-1-11−i3i3i3−i3i3−i3−i3i3-333-300000000000000000000000000000000
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χ1164-4-44000000-2-24-40022i3−2i3−2i32i3222i3−2i3-22−2i32i3-210000000000-1-1−i3i3i3−i3−i3i3i3−i33-3-331-22002i3−2i300-222i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i33-3-3300000000000000000000000000000000
χ1174-4-44000000-2-2-44002−2i32i32i3−2i322−2i32i3-222i3−2i3-210000000000-1-1i3−i3−i3i3i3−i3−i3i33-3-3312-2002i3−2i3002-22i3−2i30000-111-1i3−i3−i3i3i3−i3−i3i3-333-300000000000000000000000000000000
χ1184-4-44000000-2-2-44002−2i32i32i3−2i3222i3−2i3-22−2i32i3-210000000000-1-1i3−i3−i3i3−i3i3i3−i3-333-312-200−2i32i3002-22i3−2i30000-111-1i3−i3−i3i3−i3i3i3−i33-3-3300000000000000000000000000000000
χ1194-4-44000000-2-2-440022i3−2i3−2i32i322−2i32i3-222i3−2i3-210000000000-1-1−i3i3i3−i3i3−i3−i3i3-333-312-2002i3−2i3002-2−2i32i30000-111-1−i3i3i3−i3i3−i3−i3i33-3-3300000000000000000000000000000000
χ1204-4-44000000-2-2-440022i3−2i3−2i32i3222i3−2i3-22−2i32i3-210000000000-1-1−i3i3i3−i3−i3i3i3−i33-3-3312-200−2i32i3002-2−2i32i30000-111-1−i3i3i3−i3−i3i3i3−i3-333-300000000000000000000000000000000

Here i is the imaginary unit (i² = −1).