Finite Group Databasebeta

← Group #11797396

Character table — Group #11797396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442334666688881212121212123446666881212121212121212122424242424242424242424244444121212121212121212121212121224242424242424242424246688881212242424242424242416161616484848484848484816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-11111-1-1-1-1-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-11111-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-11111-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-11111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ10111111111111-1-1-1-11111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ11111111111111-1-1-1-11111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111i−ii−iii−i−iii−i−i−ii−ii
χ12111111111111-1-1-1-11111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111−ii−ii−i−iii−i−iiii−ii−i
χ13111111111111-1-1-1-11111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-11111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-11111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-11111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222-122-1-1-1222222-1-1-1-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222-122-1-1-1222222-1-1-1-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-21111111122-1-1-1-1-1-1-1-122-1-1-1-1-2-211-2-2-2-211111111110000000000000000
χ19222222-122-1-1-1222222-1-1-1-1-1-2-22-1-1-1-2-211112-1-1-1-1-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-21111-2-211-2-22211-1-1-1-111110000000000000000
χ20222222-122-1-1-1222222-1-1-1-1-1-2-22-1-1-1-2-211112-1-1-1-1-1-1-1-111112222-2-2-2-211111111-2-21111-1-1-1-1-2-2111122-1-122-2-2-1-11111-1-1-1-10000000000000000
χ21222222-122-1-1-1-2-2-2-222-1-1-1-1-1222-1-1-1-2-2-1-1-1-12-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-11111-2-2111122-1-1-2-2-2-2-1-1111111110000000000000000
χ22222222-122-1-1-1-2-2-2-222-1-1-1-1-1222-1-1-1-2-2-1-1-1-12-1-1-1-111111111-2-2-2-2-2-2-2-21111111122-1-1-1-11111-2-21111-2-211222211-1-1-1-1-1-1-1-10000000000000000
χ23222222-122-1-1-1-2-2-2-222-1-1-1-1-1-2-22-1-1-12211112-1-1-1-11111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111111122-1-1-1-1-2-21122-2-2111111-1-1-1-10000000000000000
χ24222222-122-1-1-1-2-2-2-222-1-1-1-1-1-2-22-1-1-12211112-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-211111111-2-21111111122-1-1-1-122-1-1-2-222-1-1-1-1-1-111110000000000000000
χ2522222-122-12222222-1-12222-122-1-1-1-1222222-1-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ2622222-122-12222222-1-12222-122-1-1-1-1222222-1-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ2722222-122-12222222-1-12222-1-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1000000000000111111-1-1-1-111111100000000000000000022-2-2-1-1-1-111110000
χ2822222-122-12222222-1-12222-1-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1000000000000111111-1-1-1-1111111000000000000000000-2-2221111-1-1-1-10000
χ2922222-122-1222-2-2-2-2-1-12222-122-1-1-1-1-2-22222-1-1-1-1-1-2-2-2-2-2-2-2-21111000000000000-1-1-1-1-1-111111111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ3022222-122-1222-2-2-2-2-1-12222-122-1-1-1-1-2-22222-1-1-1-1-1-2-2-2-2-2-2-2-21111000000000000-1-1-1-1-1-11111111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ3122222-122-1222-2-2-2-2-1-12222-1-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-2-2-2-2222211110000000000001111111111-1-1-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ3222222-122-1222-2-2-2-2-1-12222-1-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-2-2-2-2222211110000000000001111111111-1-1-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ332222-222-222-2-222-2-22222-2-222i−2i-22-2-22i−2i2i2i−2i−2i-222-2-222-2-22i2i−2i−2i22-2-20000000000002i−2i2i2i−2i−2i22-2-22i−2i2i2i−2i−2i0000000000000000000000000000000000
χ342222-222-222-2-222-2-22222-2-22−2i2i-22-2-2−2i2i−2i−2i2i2i-222-2-222-2-2−2i−2i2i2i22-2-2000000000000−2i2i−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ352222-222-222-2-2-2-2222222-2-222i−2i-22-2-2−2i2i2i2i−2i−2i-222-2-2-2-222−2i−2i2i2i-2-2220000000000002i−2i2i2i−2i−2i-2-222−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ362222-222-222-2-2-2-2222222-2-22−2i2i-22-2-22i−2i−2i−2i2i2i-222-2-2-2-2222i2i−2i−2i-2-222000000000000−2i2i−2i−2i2i2i-2-2222i−2i2i2i−2i−2i0000000000000000000000000000000000
χ372222-22-1-22-11122-2-222-1-111-12i−2i-2-1112i−2i−i−iii-2-1-111-1-111−i−iii22-2-200003333−3−3−3−32i−2i−i−iii-1-1112i−2i−i−iii00−i3i30000−i3i333−3−3−i3−i3i3i30000000000000000
χ382222-22-1-22-11122-2-222-1-111-12i−2i-2-1112i−2i−i−iii-2-1-111-1-111−i−iii22-2-20000−3−3−3−333332i−2i−i−iii-1-1112i−2i−i−iii00i3−i30000i3−i3−3−333i3i3−i3−i30000000000000000
χ392222-22-1-22-11122-2-222-1-111-1−2i2i-2-111−2i2iii−i−i-2-1-111-1-111ii−i−i22-2-200003333−3−3−3−3−2i2iii−i−i-1-111−2i2iii−i−i00i3−i30000i3−i333−3−3i3i3−i3−i30000000000000000
χ402222-22-1-22-11122-2-222-1-111-1−2i2i-2-111−2i2iii−i−i-2-1-111-1-111ii−i−i22-2-20000−3−3−3−33333−2i2iii−i−i-1-111−2i2iii−i−i00−i3i30000−i3i3−3−333−i3−i3i3i30000000000000000
χ412222-22-1-22-111-2-22222-1-111-12i−2i-2-111−2i2i−i−iii-2-1-11111-1-1ii−i−i-2-22200003333−3−3−3−32i−2i−i−iii11-1-1−2i2iii−i−i00−i3i30000−i3i3−3−333i3i3−i3−i30000000000000000
χ422222-22-1-22-111-2-22222-1-111-12i−2i-2-111−2i2i−i−iii-2-1-11111-1-1ii−i−i-2-2220000−3−3−3−333332i−2i−i−iii11-1-1−2i2iii−i−i00i3−i30000i3−i333−3−3−i3−i3i3i30000000000000000
χ432222-22-1-22-111-2-22222-1-111-1−2i2i-2-1112i−2iii−i−i-2-1-11111-1-1−i−iii-2-22200003333−3−3−3−3−2i2iii−i−i11-1-12i−2i−i−iii00i3−i30000i3−i3−3−333−i3−i3i3i30000000000000000
χ442222-22-1-22-111-2-22222-1-111-1−2i2i-2-1112i−2iii−i−i-2-1-11111-1-1−i−iii-2-2220000−3−3−3−33333−2i2iii−i−i11-1-12i−2i−i−iii00−i3i30000−i3i333−3−3i3i3−i3−i30000000000000000
χ452222-2-12-2-12-2-222-2-2-1-122-2-2-12i−2i1-1112i−2i2i2i−2i−2i1-1-11122-2-22i2i−2i−2i-1-111000000000000−ii−i−iii-1-111−ii−i−iii0000000000000000000000−i3i3−i3i33−33−30000
χ462222-2-12-2-12-2-222-2-2-1-122-2-2-12i−2i1-1112i−2i2i2i−2i−2i1-1-11122-2-22i2i−2i−2i-1-111000000000000−ii−i−iii-1-111−ii−i−iii0000000000000000000000i3−i3i3−i3−33−330000
χ472222-2-12-2-12-2-222-2-2-1-122-2-2-1−2i2i1-111−2i2i−2i−2i2i2i1-1-11122-2-2−2i−2i2i2i-1-111000000000000i−iii−i−i-1-111i−iii−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ482222-2-12-2-12-2-222-2-2-1-122-2-2-1−2i2i1-111−2i2i−2i−2i2i2i1-1-11122-2-2−2i−2i2i2i-1-111000000000000i−iii−i−i-1-111i−iii−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ492222-2-12-2-12-2-2-2-222-1-122-2-2-12i−2i1-111−2i2i2i2i−2i−2i1-1-111-2-222−2i−2i2i2i11-1-1000000000000−ii−i−iii11-1-1i−iii−i−i00000000000000000000003−3−33i3−i3−i3i30000
χ502222-2-12-2-12-2-2-2-222-1-122-2-2-12i−2i1-111−2i2i2i2i−2i−2i1-1-111-2-222−2i−2i2i2i11-1-1000000000000−ii−i−iii11-1-1i−iii−i−i0000000000000000000000−333−3−i3i3i3−i30000
χ512222-2-12-2-12-2-2-2-222-1-122-2-2-1−2i2i1-1112i−2i−2i−2i2i2i1-1-111-2-2222i2i−2i−2i11-1-1000000000000i−iii−i−i11-1-1−ii−i−iii00000000000000000000003−3−33−i3i3i3−i30000
χ522222-2-12-2-12-2-2-2-222-1-122-2-2-1−2i2i1-1112i−2i−2i−2i2i2i1-1-111-2-2222i2i−2i−2i11-1-1000000000000i−iii−i−i11-1-1−ii−i−iii0000000000000000000000−333−3i3−i3−i3i30000
χ5322-2-2222-222222i−2i2i−2i-2-2-2-2-2-22002222000000-2-2-2-2-22i−2i2i−2i00002i−2i2i−2i0000000000000000002i−2i2i−2i0000002-2222i−2i00-2-200002i−2i2i−2i0000000000000000
χ5422-2-2222-222222i−2i2i−2i-2-2-2-2-2-22002222000000-2-2-2-2-22i−2i2i−2i00002i−2i2i−2i0000000000000000002i−2i2i−2i000000-22-2-2−2i2i00220000−2i2i−2i2i0000000000000000
χ5522-2-2222-22222−2i2i−2i2i-2-2-2-2-2-22002222000000-2-2-2-2-2−2i2i−2i2i0000−2i2i−2i2i000000000000000000−2i2i−2i2i0000002-222−2i2i00-2-20000−2i2i−2i2i0000000000000000
χ5622-2-2222-22222−2i2i−2i2i-2-2-2-2-2-22002222000000-2-2-2-2-2−2i2i−2i2i0000−2i2i−2i2i000000000000000000−2i2i−2i2i000000-22-2-22i−2i002200002i−2i2i−2i0000000000000000
χ5722-2-222-1-22-1-1-12i−2i2i−2i-2-21111-1002-1-1-100−i3i3−i3i3-21111−ii−ii3−33−32i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i300−i3i3−i3i3−ii−ii003−33−32-2-1-12i−2i00113−33−3−ii−ii0000000000000000
χ5822-2-222-1-22-1-1-12i−2i2i−2i-2-21111-1002-1-1-100−i3i3−i3i3-21111−ii−ii3−33−32i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i300−i3i3−i3i3−ii−ii003−33−3-2211−2i2i00-1-1−33−33i−ii−i0000000000000000
χ5922-2-222-1-22-1-1-12i−2i2i−2i-2-21111-1002-1-1-100i3−i3i3−i3-21111−ii−ii−33−332i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i300i3−i3i3−i3−ii−ii00−33−33-2211−2i2i00-1-13−33−3i−ii−i0000000000000000
χ6022-2-222-1-22-1-1-12i−2i2i−2i-2-21111-1002-1-1-100i3−i3i3−i3-21111−ii−ii−33−332i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i300i3−i3i3−i3−ii−ii00−33−332-2-1-12i−2i0011−33−33−ii−ii0000000000000000
χ6122-2-222-1-22-1-1-1−2i2i−2i2i-2-21111-1002-1-1-100−i3i3−i3i3-21111i−ii−i−33−33−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i300−i3i3−i3i3i−ii−i00−33−332-2-1-1−2i2i0011−33−33i−ii−i0000000000000000
χ6222-2-222-1-22-1-1-1−2i2i−2i2i-2-21111-1002-1-1-100−i3i3−i3i3-21111i−ii−i−33−33−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i300−i3i3−i3i3i−ii−i00−33−33-22112i−2i00-1-13−33−3−ii−ii0000000000000000
χ6322-2-222-1-22-1-1-1−2i2i−2i2i-2-21111-1002-1-1-100i3−i3i3−i3-21111i−ii−i3−33−3−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i300i3−i3i3−i3i−ii−i003−33−3-22112i−2i00-1-1−33−33−ii−ii0000000000000000
χ6422-2-222-1-22-1-1-1−2i2i−2i2i-2-21111-1002-1-1-100i3−i3i3−i3-21111i−ii−i3−33−3−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i300i3−i3i3−i3i−ii−i003−33−32-2-1-1−2i2i00113−33−3i−ii−i0000000000000000
χ6522-2-2-222222-2-22i−2i−2i2i-2-2-2-222200-22-2-20000002-2-2222i−2i−2i2i00002i−2i−2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000002i−2i−2i2i0000000000002-200-222-200000000000000000000
χ6622-2-2-222222-2-22i−2i−2i2i-2-2-2-222200-22-2-20000002-2-2222i−2i−2i2i00002i−2i−2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000002i−2i−2i2i000000000000-22002-2-2200000000000000000000
χ6722-2-2-222222-2-2−2i2i2i−2i-2-2-2-222200-22-2-20000002-2-222−2i2i2i−2i0000−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000−2i2i2i−2i000000000000-22002-2-2200000000000000000000
χ6822-2-2-222222-2-2−2i2i2i−2i-2-2-2-222200-22-2-20000002-2-222−2i2i2i−2i0000−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000−2i2i2i−2i0000000000002-200-222-200000000000000000000
χ6922-2-2-22-122-1112i−2i−2i2i-2-211-1-1-100-2-111003−3−33211-1-1−iii−ii3−i3−i3i32i−2i−2i2i2i2i−2i−2i−i−iiiii−i−i003−3−33−iii−i00i3−i3−i3i300−i3i3002-2i3−i31-1-113−3−330000000000000000
χ7022-2-2-22-122-1112i−2i−2i2i-2-211-1-1-100-2-111003−3−33211-1-1−iii−ii3−i3−i3i32i−2i−2i2i−2i−2i2i2iii−i−i−i−iii003−3−33−iii−i00i3−i3−i3i300i3−i300-22−i3i3-111-1−333−30000000000000000
χ7122-2-2-22-122-1112i−2i−2i2i-2-211-1-1-100-2-11100−333−3211-1-1−iii−i−i3i3i3−i32i−2i−2i2i2i2i−2i−2i−i−iiiii−i−i00−333−3−iii−i00−i3i3i3−i300i3−i3002-2−i3i31-1-11−333−30000000000000000
χ7222-2-2-22-122-1112i−2i−2i2i-2-211-1-1-100-2-11100−333−3211-1-1−iii−i−i3i3i3−i32i−2i−2i2i−2i−2i2i2iii−i−i−i−iii00−333−3−iii−i00−i3i3i3−i300−i3i300-22i3−i3-111-13−3−330000000000000000
χ7322-2-2-22-122-111−2i2i2i−2i-2-211-1-1-100-2-111003−3−33211-1-1i−i−ii−i3i3i3−i3−2i2i2i−2i2i2i−2i−2i−i−iiiii−i−i003−3−33i−i−ii00−i3i3i3−i300−i3i300-22i3−i3-111-1−333−30000000000000000
χ7422-2-2-22-122-111−2i2i2i−2i-2-211-1-1-100-2-111003−3−33211-1-1i−i−ii−i3i3i3−i3−2i2i2i−2i−2i−2i2i2iii−i−i−i−iii003−3−33i−i−ii00−i3i3i3−i300i3−i3002-2−i3i31-1-113−3−330000000000000000
χ7522-2-2-22-122-111−2i2i2i−2i-2-211-1-1-100-2-11100−333−3211-1-1i−i−iii3−i3−i3i3−2i2i2i−2i2i2i−2i−2i−i−iiiii−i−i00−333−3i−i−ii00i3−i3−i3i300i3−i300-22−i3i3-111-13−3−330000000000000000
χ7622-2-2-22-122-111−2i2i2i−2i-2-211-1-1-100-2-11100−333−3211-1-1i−i−iii3−i3−i3i3−2i2i2i−2i−2i−2i2i2iii−i−i−i−iii00−333−3i−i−ii00i3−i3−i3i300−i3i3002-2i3−i31-1-11−333−30000000000000000
χ7744444-2-24-2-2-2-24444-2-2-2-2-2-2144-211144-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-211111111-2-211110000000000000000000000000000000000
χ7844444-2-24-2-2-2-24444-2-2-2-2-2-21-4-4-2111-4-42222-21111-2-2-2-22222-2-2-2-200000000000022-1-1-1-1111122-1-1-1-10000000000000000000000000000000000
χ7944444-2-24-2-2-2-2-4-4-4-4-2-2-2-2-2-2144-2111-4-4-2-2-2-2-21111222222222222000000000000-2-21111-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ8044444-2-24-2-2-2-2-4-4-4-4-2-2-2-2-2-21-4-4-2111442222-211112222-2-2-2-2222200000000000022-1-1-1-1-1-1-1-1-2-211110000000000000000000000000000000000
χ814444-4-2-2-4-2-22244-4-4-2-2-2-22214i−4i21-1-14i−4i−2i−2i2i2i211-1-1-2-222−2i−2i2i2i-2-222000000000000−2i2iii−i−i11-1-1−2i2iii−i−i0000000000000000000000000000000000
χ824444-4-2-2-4-2-22244-4-4-2-2-2-2221−4i4i21-1-1−4i4i2i2i−2i−2i211-1-1-2-2222i2i−2i−2i-2-2220000000000002i−2i−i−iii11-1-12i−2i−i−iii0000000000000000000000000000000000
χ834444-4-2-2-4-2-222-4-444-2-2-2-22214i−4i21-1-1−4i4i−2i−2i2i2i211-1-122-2-22i2i−2i−2i22-2-2000000000000−2i2iii−i−i-1-1112i−2i−i−iii0000000000000000000000000000000000
χ844444-4-2-2-4-2-222-4-444-2-2-2-2221−4i4i21-1-14i−4i2i2i−2i−2i211-1-122-2-2−2i−2i2i2i22-2-20000000000002i−2i−i−iii-1-111−2i2iii−i−i0000000000000000000000000000000000
χ8544-4-44-24-4-24444i−4i4i−4i22-4-4-4-4-200-2-2-2-2000000222224i−4i4i−4i0000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ8644-4-44-24-4-2444−4i4i−4i4i22-4-4-4-4-200-2-2-2-200000022222−4i4i−4i4i00002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ8744-4-44-2-2-4-2-2-2-24i−4i4i−4i222222100-211100−2i32i3−2i32i32-1-1-1-1−2i2i−2i2i23−2323−23−2i2i−2i2i00000000000000i3−i3i3−i3i−ii−i00−33−330000000000000000000000000000000000
χ8844-4-44-2-2-4-2-2-2-24i−4i4i−4i222222100-2111002i3−2i32i3−2i32-1-1-1-1−2i2i−2i2i−2323−2323−2i2i−2i2i00000000000000−i3i3−i3i3i−ii−i003−33−30000000000000000000000000000000000
χ8944-4-44-2-2-4-2-2-2-2−4i4i−4i4i222222100-211100−2i32i3−2i32i32-1-1-1-12i−2i2i−2i−2323−23232i−2i2i−2i00000000000000i3−i3i3−i3−ii−ii003−33−30000000000000000000000000000000000
χ9044-4-44-2-2-4-2-2-2-2−4i4i−4i4i222222100-2111002i3−2i32i3−2i32-1-1-1-12i−2i2i−2i23−2323−232i−2i2i−2i00000000000000−i3i3−i3i3−ii−ii00−33−330000000000000000000000000000000000
χ9144-4-4-4-244-24-4-44i−4i−4i4i22-4-444-2002-222000000-222-2-24i−4i−4i4i0000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000
χ9244-4-4-4-244-24-4-4−4i4i4i−4i22-4-444-2002-222000000-222-2-2−4i4i4i−4i00002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000000000000000000000000000000000
χ9344-4-4-4-2-24-2-2224i−4i−4i4i2222-2-210021-1-10023−23−2323-2-1-111−2i2i2i−2i2i3−2i3−2i32i3−2i2i2i−2i00000000000000−333−3i−i−ii00−i3i3i3−i30000000000000000000000000000000000
χ9444-4-4-4-2-24-2-2224i−4i−4i4i2222-2-210021-1-100−232323−23-2-1-111−2i2i2i−2i−2i32i32i3−2i3−2i2i2i−2i000000000000003−3−33i−i−ii00i3−i3−i3i30000000000000000000000000000000000
χ9544-4-4-4-2-24-2-222−4i4i4i−4i2222-2-210021-1-10023−23−2323-2-1-1112i−2i−2i2i−2i32i32i3−2i32i−2i−2i2i00000000000000−333−3−iii−i00i3−i3−i3i30000000000000000000000000000000000
χ9644-4-4-4-2-24-2-222−4i4i4i−4i2222-2-210021-1-100−232323−23-2-1-1112i−2i−2i2i2i3−2i3−2i32i32i−2i−2i2i000000000000003−3−33−iii−i00−i3i3i3−i30000000000000000000000000000000000
χ974-44i−4i0440-4-40000004i−4i4i−4i004000-40000000004i−4i000000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000
χ984-44i−4i0440-4-40000004i−4i4i−4i004000-40000000004i−4i00000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i−2+2i2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000
χ994-44i−4i04-20-42−2i32i300004i−4i−2i2i23−23-20002−2i32i30000000−2i2i23−230000000000002+2i−2−2i2−2i−2+2i−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ700000000000000000000000000000000000000000000000000
χ1004-44i−4i04-20-42−2i32i300004i−4i−2i2i23−23-20002−2i32i30000000−2i2i23−23000000000000−2−2i2+2i−2+2i2−2i2ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ700000000000000000000000000000000000000000000000000
χ1014-44i−4i04-20-422i3−2i300004i−4i−2i2i−2323-200022i3−2i30000000−2i2i−23230000000000002+2i−2−2i2−2i−2+2i−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ1100000000000000000000000000000000000000000000000000
χ1024-44i−4i04-20-422i3−2i300004i−4i−2i2i−2323-200022i3−2i30000000−2i2i−2323000000000000−2−2i2+2i−2+2i2−2i2ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ1100000000000000000000000000000000000000000000000000
χ1034-4−4i4i0440-4-4000000−4i4i−4i4i004000-4000000000−4i4i000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i2+2i−2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000
χ1044-4−4i4i0440-4-4000000−4i4i−4i4i004000-4000000000−4i4i00000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000
χ1054-4−4i4i04-20-42−2i32i30000−4i4i2i−2i−2323-20002−2i32i300000002i−2i−23230000000000002−2i−2+2i2+2i−2−2i−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ700000000000000000000000000000000000000000000000000
χ1064-4−4i4i04-20-42−2i32i30000−4i4i2i−2i−2323-20002−2i32i300000002i−2i−2323000000000000−2+2i2−2i−2−2i2+2i2ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ700000000000000000000000000000000000000000000000000
χ1074-4−4i4i04-20-422i3−2i30000−4i4i2i−2i23−23-200022i3−2i300000002i−2i23−230000000000002−2i−2+2i2+2i−2−2i−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ1100000000000000000000000000000000000000000000000000
χ1084-4−4i4i04-20-422i3−2i30000−4i4i2i−2i23−23-200022i3−2i300000002i−2i23−23000000000000−2+2i2−2i−2−2i2+2i2ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ1100000000000000000000000000000000000000000000000000
χ1098-88i−8i0-4804-8000000−4i4i8i−8i00-40004000000000−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88i−8i0-4-4044−4i34i30000−4i4i−4i4i43−432000-22i3−2i300000002i−2i−232300000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88i−8i0-4-40444i3−4i30000−4i4i−4i4i−43432000-2−2i32i300000002i−2i23−2300000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-4804-80000004i−4i−8i8i00-400040000000004i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4044−4i34i300004i−4i4i−4i−43432000-22i3−2i30000000−2i2i23−2300000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-40444i3−4i300004i−4i4i−4i43−432000-2−2i32i30000000−2i2i−232300000000000000000000000000000000000000000000000000000000000000000000000000

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