Finite Group Databasebeta

← Group #11775583

Character table — Group #11775583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12222222223344446666666666666634466666666666666666666666121212121212121212121212121212121212121212121212121212121212121222444444666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111-1-1-1-11111-1-111-1-11111111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111-1-1-1-11111-1-111-1-11111111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111-1-1-1-11111-1-111-1-11111111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111-1-1-1-11111-1-111-1-11111111-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-2222222222222222-2-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222222-122222222-1-1-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ1922222222222-122222222-1-1-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ2022222222222-1-2-2-2-22222-1-1-1-1-12-122-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211111111111111111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2122222222222-1-2-2-2-22222-1-1-1-1-12-122-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211111111111111111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ222222222222-122222-1-1-1-122222-12-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ232222222222-122222-1-1-1-122222-12-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ242222222222-12-2-2-2-2-1-1-1-122222-12-1-12-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-211111111111111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ252222222222-12-2-2-2-2-1-1-1-122222-12-1-12-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-211111111111111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ26222222-2-2-2-222-2-22222-2-22222222-2-222-2222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ27222222-2-2-2-22-122-2-222-2-2-1-1-1-1-12-1-2-2-1-12-222-2-21111-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-11111111122-2-20000-1-1-1-111110000000000000000
χ28222222-2-2-2-22-122-2-222-2-2-1-1-1-1-12-1-2-2-1-12-222-2-21111-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-111111111-2-22200001111-1-1-1-10000000000000000
χ29222222-2-2-2-22-1-2-22222-2-2-1-1-1-1-12-1-2-2-1-1-2222-2-21111-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ30222222-2-2-2-22-1-2-22222-2-2-1-1-1-1-12-1-2-2-1-1-2222-2-21111-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ31222222-2-2-2-2-1222-2-2-1-11122222-12112-12-2-1-111-2-2-2-2-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-11111111100002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ32222222-2-2-2-2-1222-2-2-1-11122222-12112-12-2-1-111-2-2-2-2-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-1111111110000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ33222222-2-2-2-2-12-2-222-1-11122222-12112-1-22-1-111-2-2-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-100000000000000003−33−3−33−3300000000
χ34222222-2-2-2-2-12-2-222-1-11122222-12112-1-22-1-111-2-2-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-10000000000000000−33−333−33−300000000
χ352222-2-222-2-222222222-2-22-2-2-2-222-2-222-2-2-2-22222-2-222-2-2-2-22222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ362222-2-222-2-22-1222222-2-2-111112-1-2-2-1-1-2-2-2-222-1-111-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-100000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ372222-2-222-2-22-1222222-2-2-111112-1-2-2-1-1-2-2-2-222-1-111-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-100000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ382222-2-222-2-22-1-2-2-2-222-2-2-111112-1-2-2-1-122-2-222-1-111-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-111112-22-20000-1-111-1-1110000000000000000
χ392222-2-222-2-22-1-2-2-2-222-2-2-111112-1-2-2-1-122-2-222-1-111-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-11111-22-22000011-1-111-1-10000000000000000
χ402222-2-222-2-2-122222-1-1112-2-2-2-2-12112-1-2-211-1-122-2-2-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-100000000000000003−3−333−3−3300000000
χ412222-2-222-2-2-122222-1-1112-2-2-2-2-12112-1-2-211-1-122-2-2-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-10000000000000000−333−3−333−300000000
χ422222-2-222-2-2-12-2-2-2-2-1-1112-2-2-2-2-12112-12211-1-122-2-2-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-1111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ432222-2-222-2-2-12-2-2-2-2-1-1112-2-2-2-2-12112-12211-1-122-2-2-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ442222-2-2-2-2222222-2-222222-2-2-2-2222222-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ452222-2-2-2-2222-122-2-22222-111112-122-1-1-22-2-2-2-211-1-1-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-1111100000000−i3i3i3−i3i3−i3−i3i30000000000000000
χ462222-2-2-2-2222-122-2-22222-111112-122-1-1-22-2-2-2-211-1-1-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-1111100000000i3−i3−i3i3−i3i3i3−i30000000000000000
χ472222-2-2-2-2222-1-2-2222222-111112-122-1-12-2-2-2-2-211-1-1-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-12-2-220000-1-11111-1-10000000000000000
χ482222-2-2-2-2222-1-2-2222222-111112-122-1-12-2-2-2-2-211-1-1-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-1-222-2000011-1-1-1-1110000000000000000
χ492222-2-2-2-222-1222-2-2-1-1-1-12-2-2-2-2-12-1-12-1-221111-2-222-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-111110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ502222-2-2-2-222-1222-2-2-1-1-1-12-2-2-2-2-12-1-12-1-221111-2-222-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-111110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ512222-2-2-2-222-12-2-222-1-1-1-12-2-2-2-2-12-1-12-12-21111-2-222-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ522222-2-2-2-222-12-2-222-1-1-1-12-2-2-2-2-12-1-12-12-21111-2-222-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ532-2-222-22-22-22200002-222-222-2-2-2-2-2-222002-22-22-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ542-2-222-22-22-22200002-222-222-2-2-2-2-2-222002-22-22-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ552-2-222-2-22-222200002-2-2-2-222-2-2-2-22222002-2-22-22-222-222-2-2-2-222-2-222-2000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ562-2-222-2-22-222200002-2-2-2-222-2-2-2-22222002-2-22-22-222-222-2-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000−22−222−22−2
χ572-2-22-222-2-222200002-2-2-2-2-2-222-2-2222200-222-22-2-222-2-2-22222-2-2-2-222-2000000000000000000000000000000000000000000000000000000002−2−222−2−22
χ582-2-22-222-2-222200002-2-2-2-2-2-222-2-2222200-222-22-2-222-2-2-22222-2-2-2-222-200000000000000000000000000000000000000000000000000000000−222−2−222−2
χ592-2-22-22-222-22200002-222-2-2-222-2-2-2-22200-22-22-222-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ602-2-22-22-222-22200002-222-2-2-222-2-2-2-22200-22-22-222-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
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
χ63444444-4-4-4-4-2-244-4-4-2-222-2-2-2-2-2-2-222-214-4-2-2222222111111-1-1-1-1-1-1-1-11-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ64444444-4-4-4-4-2-2-4-444-2-222-2-2-2-2-2-2-222-21-44-2-2222222111111-1-1-1-1-1-1-1-1122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ654444-4-444-4-4-2-24444-2-222-22222-2-222-21-4-422-2-2-2-22211-1-1-1-11111-1-1-1-112222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ664444-4-444-4-4-2-2-4-4-4-4-2-222-22222-2-222-214422-2-2-2-22211-1-1-1-11111-1-1-1-11-2-2-2-22222-2-2-2-222221111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ674444-4-4-4-444-2-244-4-4-2-2-2-2-22222-2-2-2-2-21-44222222-2-211-1-1-1-1-1-1-1-1111112222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-100000000000000000000000000000000
χ684444-4-4-4-444-2-2-4-444-2-2-2-2-22222-2-2-2-2-214-4222222-2-211-1-1-1-1-1-1-1-111111-2-2-2-222222222-2-2-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ6944-4-400000044004i−4i-440040000-4-400-440000000000-44000000000000-40000000000004i−4i4i−4i0000000000004i4i−4i−4i00000000000000000000000000000000
χ7044-4-40000004400−4i4i-440040000-4-400-440000000000-44000000000000-4000000000000−4i4i−4i4i000000000000−4i−4i4i4i00000000000000000000000000000000
χ7144-4-40000004-2004i−4i-4400-2−2i32i3−2i32i3-42002-200000000002-2−2i32i3−2i32i3000000002000000000023−234i−4i−2i2i000000002323−23−23−2i−2i2i2i00000000000000000000000000000000
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χ7344-4-40000004-200−4i4i-4400-2−2i32i3−2i32i3-42002-200000000002-2−2i32i3−2i32i30000000020000000000−2323−4i4i2i−2i00000000−23−2323232i2i−2i−2i00000000000000000000000000000000
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χ1104-4-444-4-44-44-240000-2222-444-4-42-4-2-24-200-222-2-44-44-22-2-22222-2-222-2-220000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-44-2-20000-22222-2-22222-2-2-2100-222-22-22-21-111-1-1-1-111-1-111-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
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χ1174-4-44-44-444-44-200004-444222-2-2-42-4-4-2-200-44-442-2-22-2222-2-222-2-2-2-22220000000000000000000000000000000000000000000000000000000000000000
χ1184-4-44-44-444-4-240000-22-2-2-4-4-4442-4224-2002-22-2-444-4-2222-2-222-2-2-2-22220000000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-444-4-2-20000-22-2-2222-2-22222-21002-22-22-2-221-1-1-111-1-11111-1-1-100000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1204-4-44-44-444-4-2-20000-22-2-2222-2-22222-21002-22-22-2-221-1-1-111-1-11111-1-1-10000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000

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