Finite Group Databasebeta

← Group #11770902

Character table — Group #11770902

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order122222334444444466666666661212121212121212121212123446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ6111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ7111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ8111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ91111-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ101111-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ111111-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ121111-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ131111-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii-111-1
χ141111-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i1-1-11
χ151111-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii1-1-11
χ161111-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i-111-1
χ1722222222-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-222222-22222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ192222222-12222222222222-1-1-12222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-12222222222222-1-1-12222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ212222222-12222-2-2-2-222222-1-1-122222222221111-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ222222222-12222-2-2-2-222222-1-1-122222222221111-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ232222222-1-2-2-2-222-2-222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1111122-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ242222222-1-2-2-2-222-2-222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1111122-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ252222222-1-2-2-2-2-2-22222222-1-1-122-2-2-2-2-2-2-2-21111-12-2-1-1-1-1-1-1-1-1-11111-2-222-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000000000003−33−3−33−330000
χ262222222-1-2-2-2-2-2-22222222-1-1-122-2-2-2-2-2-2-2-21111-12-2-1-1-1-1-1-1-1-1-11111-2-222-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−33−333−33−30000
χ27222222-1222222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ28222222-1222222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ29222222-122222-2-2-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-222-1-1-1-1-1-1-122221111-2-211-2-211-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ30222222-122222-2-2-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-222-1-1-1-1-1-1-122221111-2-211-2-211-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ31222222-12-2-2-2-222-2-2-1-1-1-1-1222-1-1111111112222-1-2222-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ32222222-12-2-2-2-222-2-2-1-1-1-1-1222-1-1111111112222-1-2222-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ33222222-12-2-2-2-2-2-222-1-1-1-1-1222-1-111111111-2-2-2-2-12-222-1-1-1-1-1-1-1-2-2-2-211-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ34222222-12-2-2-2-2-2-222-1-1-1-1-1222-1-111111111-2-2-2-2-12-222-1-1-1-1-1-1-1-2-2-2-211-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-2-222-2-2222222-2-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ362222-2-222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2222-2-2-2-2-2-2222-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ372222-2-22-122-2-222-2-2-2-2222-1-1-1-2-22222-2-2-2-2-1-1-1-1-12-2111111-1-1-1-1-1112222-1-1-2-211-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002-22-2-1-111-1-1110000
χ382222-2-22-122-2-222-2-2-2-2222-1-1-1-2-22222-2-2-2-2-1-1-1-1-12-2111111-1-1-1-1-1112222-1-1-2-211-2-211-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000-22-2211-1-111-1-10000
χ392222-2-22-122-2-2-2-222-2-2222-1-1-1-2-22222-2-2-2-21111-1-22111111-1-1-1-1-111-2-2-2-21122-1-122-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ402222-2-22-122-2-2-2-222-2-2222-1-1-1-2-22222-2-2-2-21111-1-22111111-1-1-1-1-111-2-2-2-21122-1-122-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ412222-2-22-1-2-2222222-2-2222-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-2-2111111-1-1-111-1-122-2-211-2-21122-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ422222-2-22-1-2-2222222-2-2222-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-2-2111111-1-1-111-1-122-2-211-2-21122-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ432222-2-22-1-2-222-2-2-2-2-2-2222-1-1-1-2-2-2-2-2-222221111-122111111-1-1-111-1-1-2-222-1-122-1-1-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−30000
χ442222-2-22-1-2-222-2-2-2-2-2-2222-1-1-1-2-2-2-2-2-222221111-122111111-1-1-111-1-1-2-222-1-122-1-1-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−330000
χ452222-2-2-1222-2-222-2-211-1-1-122211-1-1-1-111112222-12-2-2-21111-1-1-122-2-2-1-1-1-12211-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ462222-2-2-1222-2-222-2-211-1-1-122211-1-1-1-111112222-12-2-2-21111-1-1-122-2-2-1-1-1-12211-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ472222-2-2-1222-2-2-2-22211-1-1-122211-1-1-1-11111-2-2-2-2-1-22-2-21111-1-1-122-2-21111-2-2-1-122-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ482222-2-2-1222-2-2-2-22211-1-1-122211-1-1-1-11111-2-2-2-2-1-22-2-21111-1-1-122-2-21111-2-2-1-122-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ492222-2-2-12-2-222222211-1-1-1222111111-1-1-1-12222-1-2-2-2-21111-1-1-1-2-222-1-111-2-211-2-2-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ502222-2-2-12-2-222222211-1-1-1222111111-1-1-1-12222-1-2-2-2-21111-1-1-1-2-222-1-111-2-211-2-2-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ512222-2-2-12-2-222-2-2-2-211-1-1-1222111111-1-1-1-1-2-2-2-2-122-2-21111-1-1-1-2-22211-1-122-1-12211-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ522222-2-2-12-2-222-2-2-2-211-1-1-1222111111-1-1-1-1-2-2-2-2-122-2-21111-1-1-1-2-22211-1-122-1-12211-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ5322-2-20022002i−2i2-22i−2i002-2-22-2-20000002i2i−2i−2i22-2-22000000002-2-2002i−2i2-2000000002i−2i2i−2i00002i2i−2i−2i22-2-2000000002i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ5422-2-20022002i−2i2-22i−2i002-2-22-2-20000002i2i−2i−2i22-2-22000000002-2-2002i−2i2-2000000002i−2i2i−2i00002i2i−2i−2i22-2-2000000002i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ5522-2-20022002i−2i-22−2i2i002-2-22-2-20000002i2i−2i−2i-2-2222000000002-2-2002i−2i-2200000000−2i2i−2i2i00002i2i−2i−2i-2-22200000000−2i−2i2i2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ5622-2-20022002i−2i-22−2i2i002-2-22-2-20000002i2i−2i−2i-2-2222000000002-2-2002i−2i-2200000000−2i2i−2i2i00002i2i−2i−2i-2-22200000000−2i−2i2i2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ5722-2-2002200−2i2i2-2−2i2i002-2-22-2-2000000−2i−2i2i2i22-2-22000000002-2-200−2i2i2-200000000−2i2i−2i2i0000−2i−2i2i2i22-2-200000000−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ5822-2-2002200−2i2i2-2−2i2i002-2-22-2-2000000−2i−2i2i2i22-2-22000000002-2-200−2i2i2-200000000−2i2i−2i2i0000−2i−2i2i2i22-2-200000000−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
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χ1324-4-44-44-2-2000000002222-222-2-2-22i3−2i3−2i32i3−2i32i32i3−2i3−232323−231002-2-111-1-1-1100000000000023−230000−i3i3i3−i3i3−i3−i3i33−3−333i−3i−3i3i3−3−333i−3i−3i3i0000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.