Finite Group Databasebeta

← Group #11923148

Character table — Group #11923148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222212121212333366666666666666666666663636363644448888888888888888888888484848484444888888888888888888888848484848
order1222344444466612121212121212121212121222442222644444466612121212121212121212121222443666312121212121266612121212121212121212121266121236663121212121212666121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11
χ511111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-11
χ611111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-1
χ711111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1
χ811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111
χ92222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ102222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-1111111110000
χ112222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-111110000
χ122222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-10000
χ1322-2-22002i−2i002-2-200002i2i−2i−2i0000000022-2-22002i−2i002-2-200002i2i−2i−2i0000000022-2-22002i−2i002-2-200002i2i−2i−2i0000000022-2-22002i−2i002-2-200002i2i−2i−2i00000000
χ1422-2-2200−2i2i002-2-20000−2i−2i2i2i0000000022-2-2200−2i2i002-2-20000−2i−2i2i2i0000000022-2-2200−2i2i002-2-20000−2i−2i2i2i0000000022-2-2200−2i2i002-2-20000−2i−2i2i2i00000000
χ1522-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−3000022-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−3000022-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−3000022-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−30000
χ1622-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−333000022-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−333000022-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−333000022-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−3330000
χ1722-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−333000022-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−333000022-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−333000022-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−3330000
χ1822-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−3000022-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−3000022-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−3000022-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−30000
χ192-22-222i−2i0000-22-22i−2i2i−2i0000000000002-22-222i−2i0000-22-22i−2i2i−2i0000000000002-22-222i−2i0000-22-22i−2i2i−2i0000000000002-22-222i−2i0000-22-22i−2i2i−2i000000000000
χ202-22-22−2i2i0000-22-2−2i2i−2i2i0000000000002-22-22−2i2i0000-22-2−2i2i−2i2i0000000000002-22-22−2i2i0000-22-2−2i2i−2i2i0000000000002-22-22−2i2i0000-22-2−2i2i−2i2i000000000000
χ212-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−300002-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−300002-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−300002-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−30000
χ222-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−3300002-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−3300002-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−3300002-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−330000
χ232-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−3300002-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−3300002-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−3300002-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−330000
χ242-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−300002-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−300002-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−300002-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−30000
χ252-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-220000
χ262-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-20000
χ272-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-10000
χ282-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-10000
χ292-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-110000
χ302-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-110000
χ31111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ331111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ341111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ3511111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ3611111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ3711111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ392222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ402222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ412222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ422222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ4322-2-22002i−2i002-2-200002i2i−2i−2i0000000022-2-22002i−2i002-2-200002i2i−2i−2i00000000−1+i3−1+i31−i31−i3−1+i3002ζ7−2ζ700−1+i31−i31−i300002ζ72ζ7−2ζ7−2ζ700000000−1−i3−1−i31+i31+i3−1−i3002ζ11−2ζ1100−1−i31+i31+i300002ζ112ζ11−2ζ11−2ζ1100000000
χ4422-2-2200−2i2i002-2-20000−2i−2i2i2i0000000022-2-2200−2i2i002-2-20000−2i−2i2i2i00000000−1+i3−1+i31−i31−i3−1+i300−2ζ72ζ700−1+i31−i31−i30000−2ζ7−2ζ72ζ72ζ700000000−1−i3−1−i31+i31+i3−1−i300−2ζ112ζ1100−1−i31+i31+i30000−2ζ11−2ζ112ζ112ζ1100000000
χ4522-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−3000022-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−30000−1+i3−1+i31−i31−i31−i32002ζ7−2ζ7001−i32−1+i32−1+i323+i323+i32−3−i32−3−i32−ζ7−ζ7ζ7ζ7−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i32002ζ11−2ζ11001+i32−1−i32−1−i32−3+i32−3+i323−i323−i32−ζ11−ζ11ζ11ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ4622-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−333000022-2-2-1002i−2i00-111i3i3−i3−i3−i−iii−3−3330000−1+i3−1+i31−i31−i31−i32002ζ7−2ζ7001−i32−1+i32−1+i32−3−i32−3−i323+i323+i32−ζ7−ζ7ζ7ζ7ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i32002ζ11−2ζ11001+i32−1−i32−1−i323−i323−i32−3+i32−3+i32−ζ11−ζ11ζ11ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4722-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−333000022-2-2-100−2i2i00-111−i3−i3i3i3ii−i−i−3−3330000−1+i3−1+i31−i31−i31−i3200−2ζ72ζ7001−i32−1+i32−1+i323+i323+i32−3−i32−3−i32ζ7ζ7−ζ7−ζ7ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−2ζ112ζ11001+i32−1−i32−1−i32−3+i32−3+i323−i323−i32ζ11ζ11−ζ11−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4822-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−3000022-2-2-100−2i2i00-111i3i3−i3−i3ii−i−i33−3−30000−1+i3−1+i31−i31−i31−i3200−2ζ72ζ7001−i32−1+i32−1+i32−3−i32−3−i323+i323+i32ζ7ζ7−ζ7−ζ7−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−2ζ112ζ11001+i32−1−i32−1−i323−i323−i32−3+i32−3+i32ζ11ζ11−ζ11−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ492-22-222i−2i0000-22-22i−2i2i−2i0000000000002-22-222i−2i0000-22-22i−2i2i−2i000000000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ700001−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7000000000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ1100001+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11000000000000
χ502-22-22−2i2i0000-22-2−2i2i−2i2i0000000000002-22-22−2i2i0000-22-2−2i2i−2i2i000000000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ700001−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7000000000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ1100001+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11000000000000
χ512-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−300002-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−30000−1+i31−i3−1+i31−i31−i322ζ7−2ζ70000−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ73+i32−3−i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i3−1−i31+i31+i322ζ11−2ζ110000−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−3+i323−i32−3+i323−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ522-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−3300002-22-2-12i−2i00001-11−ii−iii3−i3i3−i3−33−330000−1+i31−i3−1+i31−i31−i322ζ7−2ζ70000−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−3−i323+i32−3−i323+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i3−1−i31+i31+i322ζ11−2ζ110000−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ113−i32−3+i323−i32−3+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
χ532-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−3300002-22-2-1−2i2i00001-11i−ii−i−i3i3−i3i3−33−330000−1+i31−i3−1+i31−i31−i32−2ζ72ζ70000−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ73+i32−3−i323+i32−3−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i3−1−i31+i31+i32−2ζ112ζ110000−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−3+i323−i32−3+i323−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
χ542-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−300002-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−30000−1+i31−i3−1+i31−i31−i32−2ζ72ζ70000−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−3−i323+i32−3−i323+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i3−1−i31+i31+i32−2ζ112ζ110000−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ113−i32−3+i323−i32−3+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ552-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-220000−1+i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i30000−1−i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i30000
χ562-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-20000−1+i31−i31−i3−1+i3−1+i300001−i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i30000−1−i31+i31+i3−1−i3−1−i300001+i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i30000
χ572-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-10000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i32−1+i321−i320000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i32−1−i321+i320000
χ582-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-10000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i32−1+i321−i320000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i32−1−i321+i320000
χ592-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-110000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i321−i32−1+i320000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i321+i32−1−i320000
χ602-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-110000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i321−i32−1+i320000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i321+i32−1−i320000
χ61111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ631111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ641111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ6511111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32
χ6611111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11111-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ6711111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ692222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ702222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ712222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ722222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ7322-2-22002i−2i002-2-200002i2i−2i−2i0000000022-2-22002i−2i002-2-200002i2i−2i−2i00000000−1−i3−1−i31+i31+i3−1−i3002ζ11−2ζ1100−1−i31+i31+i300002ζ112ζ11−2ζ11−2ζ1100000000−1+i3−1+i31−i31−i3−1+i3002ζ7−2ζ700−1+i31−i31−i300002ζ72ζ7−2ζ7−2ζ700000000
χ7422-2-2200−2i2i002-2-20000−2i−2i2i2i0000000022-2-2200−2i2i002-2-20000−2i−2i2i2i00000000−1−i3−1−i31+i31+i3−1−i300−2ζ112ζ1100−1−i31+i31+i30000−2ζ11−2ζ112ζ112ζ1100000000−1+i3−1+i31−i31−i3−1+i300−2ζ72ζ700−1+i31−i31−i30000−2ζ7−2ζ72ζ72ζ700000000
χ7522-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−3000022-2-2-1002i−2i00-111−i3−i3i3i3−i−iii33−3−30000−1−i3−1−i31+i31+i31+i32002ζ11−2ζ11001+i32−1−i32−1−i32−3+i32−3+i323−i323−i32−ζ11−ζ11ζ11ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i32002ζ7−2ζ7001−i32−1+i32−1+i323+i323+i32−3−i32−3−i32−ζ7−ζ7ζ7ζ7−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
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χ802-22-22−2i2i0000-22-2−2i2i−2i2i0000000000002-22-22−2i2i0000-22-2−2i2i−2i2i000000000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ1100001+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11000000000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ700001−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7000000000000
χ812-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−300002-22-2-12i−2i00001-11−ii−ii−i3i3−i3i33−33−30000−1−i31+i3−1−i31+i31+i322ζ11−2ζ110000−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−3+i323−i32−3+i323−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i3−1+i31−i31−i322ζ7−2ζ70000−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ73+i32−3−i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
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χ842-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−300002-22-2-1−2i2i00001-11i−ii−ii3−i3i3−i33−33−30000−1−i31+i3−1−i31+i31+i32−2ζ112ζ110000−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ113−i32−3+i323−i32−3+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i3−1+i31−i31−i32−2ζ72ζ70000−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−3−i323+i32−3−i323+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ852-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-220000−1−i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i30000−1+i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i30000
χ862-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-20000−1−i31+i31+i3−1−i3−1−i300001+i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i30000−1+i31−i31−i3−1+i3−1+i300001−i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i30000
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χ882-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-10000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i32−1−i321+i320000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i32−1+i321−i320000
χ892-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-110000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i321+i32−1−i320000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i321−i32−1+i320000
χ902-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-110000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i321+i32−1−i320000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i321−i32−1+i320000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.