Finite Group Databasebeta

← Group #11770962

Character table — Group #11770962

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222334444444466666666661212121234466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444488881212121212121212242424242424242488888888
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
χ51111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131111-1-11111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ141111-1-11111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ151111-1-11111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ161111-1-11111-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ1722222222-2-22222-2-2222222222222222-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222222222-2-2-2-22-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ192222222-122222222222-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ202222222-122222222222-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ212222222-122-2-2-2-2-2-2222-1-1-122221111-12-2-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ222222222-122-2-2-2-2-2-2222-1-1-122221111-12-2-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ232222222-1-2-22222-2-2222-1-1-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ242222222-1-2-22222-2-2222-1-1-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ252222222-1-2-2-2-2-2-222222-1-1-122221111-1-22-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ262222222-1-2-2-2-2-2-222222-1-1-122221111-1-22-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ27222222-1222222222-1-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ28222222-1222222222-1-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ29222222-1222-2-2-2-2-2-2-1-1-1222-1-1-1-1-2-2-2-2-12-222-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-21111-2-2-1-1-1-1-1-1-1-1111111111111111122-2-20000-1-1-1-111110000000000000000
χ30222222-1222-2-2-2-2-2-2-1-1-1222-1-1-1-1-2-2-2-2-12-222-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-21111-2-2-1-1-1-1-1-1-1-11111111111111111-2-22200001111-1-1-1-10000000000000000
χ31222222-12-2-22222-2-2-1-1-1222-1-1-1-12222-1-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ32222222-12-2-22222-2-2-1-1-1222-1-1-1-12222-1-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ33222222-12-2-2-2-2-2-222-1-1-1222-1-1-1-1-2-2-2-2-1-2222-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211-1-122111111111111-1-1-1-11111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ34222222-12-2-2-2-2-2-222-1-1-1222-1-1-1-1-2-2-2-2-1-2222-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211-1-122111111111111-1-1-1-11111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ352222-2-222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ362222-2-222-2-2-2-22222222222-2-2-2-2222222-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ372222-2-22-12222-2-222222-1-1-1-2-2-2-21111-1-2-2111111-1-1-122-1-1-2-21122-1-122-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-11111111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ382222-2-22-12222-2-222222-1-1-1-2-2-2-21111-1-2-2111111-1-1-122-1-1-2-21122-1-122-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ392222-2-22-122-2-222-2-2222-1-1-1-2-2-2-2-1-1-1-1-1-22111111-1-1-122-1-1-2-211-2-211-2-2112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ402222-2-22-122-2-222-2-2222-1-1-1-2-2-2-2-1-1-1-1-1-22111111-1-1-122-1-1-2-211-2-211-2-2112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ412222-2-22-1-2-222-2-2-2-2222-1-1-1-2-2-2-21111-122111111-1-1-1-2-21122-1-122-1-1-2-211-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000003−3−333−3−3300000000
χ422222-2-22-1-2-222-2-2-2-2222-1-1-1-2-2-2-21111-122111111-1-1-1-2-21122-1-122-1-1-2-211-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000−333−3−333−300000000
χ432222-2-22-1-2-2-2-22222222-1-1-1-2-2-2-2-1-1-1-1-12-2111111-1-1-1-2-21122-1-1-2-21122-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ442222-2-22-1-2-2-2-22222222-1-1-1-2-2-2-2-1-1-1-1-12-2111111-1-1-1-2-21122-1-1-2-21122-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ452222-2-2-122222-2-222-1-1-12221111-2-2-2-2-1-2-2-2-21111-1-1-1-1-12211-2-2-1-122-1-1221111-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ462222-2-2-122222-2-222-1-1-12221111-2-2-2-2-1-2-2-2-21111-1-1-1-1-12211-2-2-1-122-1-1221111-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ472222-2-2-1222-2-222-2-2-1-1-122211112222-1-22-2-21111-1-1-1-1-12211-2-211-2-211-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ482222-2-2-1222-2-222-2-2-1-1-122211112222-1-22-2-21111-1-1-1-1-12211-2-211-2-211-2-2-1-1-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ492222-2-2-12-2-222-2-2-2-2-1-1-12221111-2-2-2-2-122-2-21111-1-1-111-2-2-1-122-1-12211-2-211-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-1000000003−3−333−3−330000000000000000
χ502222-2-2-12-2-222-2-2-2-2-1-1-12221111-2-2-2-2-122-2-21111-1-1-111-2-2-1-122-1-12211-2-211-1-1221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−333−3−333−30000000000000000
χ512222-2-2-12-2-2-2-22222-1-1-122211112222-12-2-2-21111-1-1-111-2-2-1-12211-2-2-1-122-1-111-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111000000003−3−33−333−30000000000000000
χ522222-2-2-12-2-2-2-22222-1-1-122211112222-12-2-2-21111-1-1-111-2-2-1-12211-2-2-1-122-1-111-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−333−33−3−330000000000000000
χ5322-2-22-222002i−2i2i−2i002-2-22-2-222-2-22i2i−2i−2i2002-222-2-22-2-2000000002i−2i2i−2i00002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i00000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ5422-2-22-222002i−2i2i−2i002-2-22-2-222-2-22i2i−2i−2i2002-222-2-22-2-2000000002i−2i2i−2i00002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ5522-2-22-22200−2i2i−2i2i002-2-22-2-222-2-2−2i−2i2i2i2002-222-2-22-2-200000000−2i2i−2i2i0000−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ5622-2-22-22200−2i2i−2i2i002-2-22-2-222-2-2−2i−2i2i2i2002-222-2-22-2-200000000−2i2i−2i2i0000−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ5722-2-2-2222002i−2i−2i2i002-2-22-2-2-2-222−2i−2i2i2i200-22-2-2222-2-2000000002i−2i2i−2i0000−2i2i0000000000002i2i−2i−2i0000−2i−2i2i2i00000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ5822-2-2-2222002i−2i−2i2i002-2-22-2-2-2-222−2i−2i2i2i200-22-2-2222-2-2000000002i−2i2i−2i0000−2i2i0000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
χ5922-2-2-222200−2i2i2i−2i002-2-22-2-2-2-2222i2i−2i−2i200-22-2-2222-2-200000000−2i2i−2i2i00002i−2i000000000000−2i−2i2i2i00002i2i−2i−2i00000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ6022-2-2-222200−2i2i2i−2i002-2-22-2-2-2-2222i2i−2i−2i200-22-2-2222-2-200000000−2i2i−2i2i00002i−2i000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ61444444-2-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000
χ62444444-2-244-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2222214-4-2-21111111-2-2-2-2-2-2-2-22222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ63444444-2-2-4-44444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-2-2111111122222222-2-2-2-22222-2-22222-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ64444444-2-2-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-222221-44-2-21111111222222222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ654444-4-4-2-24444-4-444-2-2-2-2-2-2222222221-4-422-1-1-1-1111-2-2-2-22222-2-2-2-2-2-2-2-22222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-4-4-2-244-4-444-4-4-2-2-2-2-2-22222-2-2-2-21-4422-1-1-1-1111-2-2-2-2222222222222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ674444-4-4-2-2-4-444-4-4-4-4-2-2-2-2-2-22222222214422-1-1-1-11112222-2-2-2-2-2-2-2-2222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ684444-4-4-2-2-4-4-4-44444-2-2-2-2-2-22222-2-2-2-214-422-1-1-1-11112222-2-2-2-22222-2-2-2-2-2-22222-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).