Finite Group Databasebeta

← Group #11770961

Character table — Group #11770961

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222233444444446666661212121212121212121212121212121234466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424888824242424242424244444
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
χ51111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i11-1-1
χ61111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-1-111
χ71111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-1-111
χ81111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii11-1-1
χ91111-1-111111111-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101111-1-111111111-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111111-1-111111111-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ121111-1-111111111-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ131111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111−iii−i
χ141111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1i−i−ii
χ151111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111i−i−ii
χ161111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1−iii−i
χ1722222222-2-222-2-222222222-2-2-2-22222-2-2-2-222222-2-222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22-2222222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ192222222-122222222222-1-1-1222222222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-122222222222-1-1-1222222222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ212222222-122-2-2-2-2-2-2222-1-1-12222-2-2-2-2-2-2-2-21111-12-222-1-1-1-1-1-1-1-1-1-1-122-1-11111-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ222222222-122-2-2-2-2-2-2222-1-1-12222-2-2-2-2-2-2-2-21111-12-222-1-1-1-1-1-1-1-1-1-1-122-1-11111-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ232222222-1-2-222-2-222222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-111-2-211-1-11122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ242222222-1-2-222-2-222222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-111-2-211-1-11122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ252222222-1-2-2-2-222-2-2222-1-1-1-2-2-2-2-2-2-2-222221111-1-2222-1-1-1-1-1-1-1-1-111-2-21111-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000000000003−33−3−33−330000
χ262222222-1-2-2-2-222-2-2222-1-1-1-2-2-2-2-2-2-2-222221111-1-2222-1-1-1-1-1-1-1-1-111-2-21111-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−33−333−33−30000
χ27222222-1222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ28222222-1222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ29222222-1222-2-2-2-2-2-2-1-1-1222-1-1-1-111111111-2-2-2-2-12-2-1-122-1-1-1-1-1-1-122-1-122-2-2-2-21111-2-2-1-1-1-1-1-1-1-111111111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ30222222-1222-2-2-2-2-2-2-1-1-1222-1-1-1-111111111-2-2-2-2-12-2-1-122-1-1-1-1-1-1-122-1-122-2-2-2-21111-2-2-1-1-1-1-1-1-1-11111111111111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ31222222-12-2-222-2-222-1-1-12221111-1-1-1-111112222-1-2-2-1-122-1-1-1-1-1-1-1-2-211-2-222-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ32222222-12-2-222-2-222-1-1-12221111-1-1-1-111112222-1-2-2-1-122-1-1-1-1-1-1-1-2-211-2-222-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ33222222-12-2-2-2-222-2-2-1-1-122211111111-1-1-1-1-2-2-2-2-1-22-1-122-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-122111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ34222222-12-2-2-2-222-2-2-1-1-122211111111-1-1-1-1-2-2-2-2-1-22-1-122-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-122111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-2-222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222-2-2222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ362222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2222-2-22222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ372222-2-22-1222222-2-2222-1-1-12222222222221111-1-2-2-2-2111111-1-1-1-1-1-2-211-1-1-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ382222-2-22-1222222-2-2222-1-1-12222222222221111-1-2-2-2-2111111-1-1-1-1-1-2-211-1-1-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ392222-2-22-122-2-2-2-222222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-22-2-2111111-1-1-1-1-1-2-21111112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002-2-22-1-11111-1-10000
χ402222-2-22-122-2-2-2-222222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-22-2-2111111-1-1-1-1-1-2-21111112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000-222-211-1-1-1-1110000
χ412222-2-22-1-2-222-2-2-2-2222-1-1-1-2-2-2-22222-2-2-2-21111-122-2-2111111-1-1-11122-1-1-1-111-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000000000003−3−333−3−330000
χ422222-2-22-1-2-222-2-2-2-2222-1-1-1-2-2-2-22222-2-2-2-21111-122-2-2111111-1-1-11122-1-1-1-111-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000−333−3−333−30000
χ432222-2-22-1-2-2-2-22222222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-12-2-2-2111111-1-1-11122-1-111-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ442222-2-22-1-2-2-2-22222222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-12-2-2-2111111-1-1-11122-1-111-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ452222-2-2-12222222-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-211-2-21111-1-1-12211-2-222221111-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ462222-2-2-12222222-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-211-2-21111-1-1-12211-2-222221111-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ472222-2-2-1222-2-2-2-222-1-1-1222-1-1-1-1111111112222-1-2211-2-21111-1-1-12211-2-2-2-2-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ482222-2-2-1222-2-2-2-222-1-1-1222-1-1-1-1111111112222-1-2211-2-21111-1-1-12211-2-2-2-2-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ492222-2-2-12-2-222-2-2-2-2-1-1-12221111-1-1-1-11111-2-2-2-2-12211-2-21111-1-1-1-2-2-1-12222-2-211-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ502222-2-2-12-2-222-2-2-2-2-1-1-12221111-1-1-1-11111-2-2-2-2-12211-2-21111-1-1-1-2-2-1-12222-2-211-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ512222-2-2-12-2-2-2-22222-1-1-122211111111-1-1-1-12222-12-211-2-21111-1-1-1-2-2-1-122-2-222-1-111-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ522222-2-2-12-2-2-2-22222-1-1-122211111111-1-1-1-12222-12-211-2-21111-1-1-1-2-2-1-122-2-222-1-111-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ5322-2-22-222002i−2i002i−2i2-2-22-2-200002i2i−2i−2i00002i2i−2i−2i2002-22-222-2-22-2-20000002i−2i002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i00001+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
χ5422-2-22-222002i−2i002i−2i2-2-22-2-200002i2i−2i−2i00002i2i−2i−2i2002-22-222-2-22-2-20000002i−2i002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i0000−1−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
χ5522-2-22-22200−2i2i00−2i2i2-2-22-2-20000−2i−2i2i2i0000−2i−2i2i2i2002-22-222-2-22-2-2000000−2i2i00−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i00001−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
χ5622-2-22-22200−2i2i00−2i2i2-2-22-2-20000−2i−2i2i2i0000−2i−2i2i2i2002-22-222-2-22-2-2000000−2i2i00−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i0000−1+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
χ5722-2-22-2-12002i−2i002i−2i-1112-2-233−3−3−i−iii−i3−i3i3i32i2i−2i−2i-100-112-2-1-111-111003−3002i−2i00−ii−i3i30033−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i31+i−1−i1+i−1−i1−i−1+i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.