Finite Group Databasebeta

← Group #63993

Character table — Group #63993

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222222222221212121211112222222222222222222222121212121111222222222222222222222212121212
order12223444444666121212121212121212121212444436663121212121212666121212121212121212121212121212123666312121212121266612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-111111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-111111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1
χ611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-1111111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-1111111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11
χ711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11
χ811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1
χ92222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ102222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-1111111110000
χ112222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-111110000
χ122222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-10000
χ1322-2-222-200002-2-222-2-200000000000022-2-222-200002-2-222-2-200000000000022-2-222-200002-2-222-2-2000000000000
χ1422-2-22-2200002-2-2-2-22200000000000022-2-22-2200002-2-2-2-22200000000000022-2-22-2200002-2-2-2-222000000000000
χ1522-2-2-12-20000-111-1-11133−3−333−3−3000022-2-2-12-20000-111-1-11133−3−333−3−3000022-2-2-12-20000-111-1-11133−3−333−3−30000
χ1622-2-2-12-20000-111-1-111−3−333−3−333000022-2-2-12-20000-111-1-111−3−333−3−333000022-2-2-12-20000-111-1-111−3−333−3−3330000
χ1722-2-2-1-220000-11111-1-133−3−3−3−333000022-2-2-1-220000-11111-1-133−3−3−3−333000022-2-2-1-220000-11111-1-133−3−3−3−3330000
χ1822-2-2-1-220000-11111-1-1−3−33333−3−3000022-2-2-1-220000-11111-1-1−3−33333−3−3000022-2-2-1-220000-11111-1-1−3−33333−3−30000
χ192-22-2200002i−2i-22-2000000002i−2i2i−2i00002-22-2200002i−2i-22-2000000002i−2i2i−2i00002-22-2200002i−2i-22-2000000002i−2i2i−2i0000
χ202-22-220000−2i2i-22-200000000−2i2i−2i2i00002-22-220000−2i2i-22-200000000−2i2i−2i2i00002-22-220000−2i2i-22-200000000−2i2i−2i2i0000
χ212-22-2-100002i−2i1-113−33−3−i3i3−i3i3−ii−ii00002-22-2-100002i−2i1-113−33−3−i3i3−i3i3−ii−ii00002-22-2-100002i−2i1-113−33−3−i3i3−i3i3−ii−ii0000
χ222-22-2-100002i−2i1-11−33−33i3−i3i3−i3−ii−ii00002-22-2-100002i−2i1-11−33−33i3−i3i3−i3−ii−ii00002-22-2-100002i−2i1-11−33−33i3−i3i3−i3−ii−ii0000
χ232-22-2-10000−2i2i1-113−33−3i3−i3i3−i3i−ii−i00002-22-2-10000−2i2i1-113−33−3i3−i3i3−i3i−ii−i00002-22-2-10000−2i2i1-113−33−3i3−i3i3−i3i−ii−i0000
χ242-22-2-10000−2i2i1-11−33−33−i3i3−i3i3i−ii−i00002-22-2-10000−2i2i1-11−33−33−i3i3−i3i3i−ii−i00002-22-2-10000−2i2i1-11−33−33−i3i3−i3i3i−ii−i0000
χ252-2-222002i−2i00-2-2200002i−2i−2i2i000000002-2-222002i−2i00-2-2200002i−2i−2i2i000000002-2-222002i−2i00-2-2200002i−2i−2i2i00000000
χ262-2-22200−2i2i00-2-220000−2i2i2i−2i000000002-2-22200−2i2i00-2-220000−2i2i2i−2i000000002-2-22200−2i2i00-2-220000−2i2i2i−2i00000000
χ272-2-22-1002i−2i0011-13−3−33−iii−ii3−i3−i3i300002-2-22-1002i−2i0011-13−3−33−iii−ii3−i3−i3i300002-2-22-1002i−2i0011-13−3−33−iii−ii3−i3−i3i30000
χ282-2-22-1002i−2i0011-1−333−3−iii−i−i3i3i3−i300002-2-22-1002i−2i0011-1−333−3−iii−i−i3i3i3−i300002-2-22-1002i−2i0011-1−333−3−iii−i−i3i3i3−i30000
χ292-2-22-100−2i2i0011-13−3−33i−i−ii−i3i3i3−i300002-2-22-100−2i2i0011-13−3−33i−i−ii−i3i3i3−i300002-2-22-100−2i2i0011-13−3−33i−i−ii−i3i3i3−i30000
χ302-2-22-100−2i2i0011-1−333−3i−i−iii3−i3−i3i300002-2-22-100−2i2i0011-1−333−3i−i−iii3−i3−i3i300002-2-22-100−2i2i0011-1−333−3i−i−iii3−i3−i3i30000
χ31111111111111111111111111111111−1+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
χ3211111111111111111111111111-1-1-1-1−1+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
χ331111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111−1+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−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1−1+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−i32−1+i321−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+i32−1−i321+i32−1−i321+i32
χ3611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11−1+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−i321−i32−1+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+i321+i32−1−i321+i32−1−i32
χ3711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11−1+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+i321−i321−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−i32−1−i321+i321+i32−1−i32
χ3811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1−1+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+i321−i32−1+i32−1+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−i321+i32−1−i32−1−i321+i32
χ392222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1+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
χ402222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1+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
χ412222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1+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
χ422222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1+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
χ4322-2-222-200002-2-222-2-2000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000
χ4422-2-22-2200002-2-2-2-222000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i31−i31−i31−i3−1+i3−1+i3000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i31+i31+i31+i3−1−i3−1−i3000000000000
χ4522-2-2-12-20000-111-1-11133−3−333−3−30000−1+i3−1+i31−i31−i31−i32−1+i31−i300001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i32−1−i31+i300001+i32−1−i32−1−i321+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ4622-2-2-12-20000-111-1-111−3−333−3−3330000−1+i3−1+i31−i31−i31−i32−1+i31−i300001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i32−1−i31+i300001+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4722-2-2-1-220000-11111-1-133−3−3−3−3330000−1+i3−1+i31−i31−i31−i321−i3−1+i300001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i321+i3−1−i300001+i32−1−i32−1−i32−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4822-2-2-1-220000-11111-1-1−3−33333−3−30000−1+i3−1+i31−i31−i31−i321−i3−1+i300001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i321+i3−1−i300001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ492-22-2200002i−2i-22-2000000002i−2i2i−2i0000−1+i31−i3−1+i31−i3−1+i300002ζ7−2ζ71−i3−1+i31−i3000000002ζ7−2ζ72ζ7−2ζ70000−1−i31+i3−1−i31+i3−1−i300002ζ11−2ζ111+i3−1−i31+i3000000002ζ11−2ζ112ζ11−2ζ110000
χ502-22-220000−2i2i-22-200000000−2i2i−2i2i0000−1+i31−i3−1+i31−i3−1+i30000−2ζ72ζ71−i3−1+i31−i300000000−2ζ72ζ7−2ζ72ζ70000−1−i31+i3−1−i31+i3−1−i30000−2ζ112ζ111+i3−1−i31+i300000000−2ζ112ζ11−2ζ112ζ110000
χ512-22-2-100002i−2i1-113−33−3−i3i3−i3i3−ii−ii0000−1+i31−i3−1+i31−i31−i3200002ζ7−2ζ7−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i323+i32−3−i32−ζ7ζ7−ζ7ζ70000−1−i31+i3−1−i31+i31+i3200002ζ11−2ζ11−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i32−3+i323−i32−ζ11ζ11−ζ11ζ110000
χ522-22-2-100002i−2i1-11−33−33i3−i3i3−i3−ii−ii0000−1+i31−i3−1+i31−i31−i3200002ζ7−2ζ7−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−3−i323+i32−3−i323+i32−ζ7ζ7−ζ7ζ70000−1−i31+i3−1−i31+i31+i3200002ζ11−2ζ11−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ113−i32−3+i323−i32−3+i32−ζ11ζ11−ζ11ζ110000
χ532-22-2-10000−2i2i1-113−33−3i3−i3i3−i3i−ii−i0000−1+i31−i3−1+i31−i31−i320000−2ζ72ζ7−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−3−i323+i32−3−i323+i32ζ7−ζ7ζ7−ζ70000−1−i31+i3−1−i31+i31+i320000−2ζ112ζ11−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ113−i32−3+i323−i32−3+i32ζ11−ζ11ζ11−ζ110000
χ542-22-2-10000−2i2i1-11−33−33−i3i3−i3i3i−ii−i0000−1+i31−i3−1+i31−i31−i320000−2ζ72ζ7−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ113+i32−3−i323+i32−3−i32ζ7−ζ7ζ7−ζ70000−1−i31+i3−1−i31+i31+i320000−2ζ112ζ11−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−3+i323−i32−3+i323−i32ζ11−ζ11ζ11−ζ110000
χ552-2-222002i−2i00-2-2200002i−2i−2i2i00000000−1+i31−i31−i3−1+i3−1+i3002ζ7−2ζ7001−i31−i3−1+i300002ζ7−2ζ7−2ζ72ζ700000000−1−i31+i31+i3−1−i3−1−i3002ζ11−2ζ11001+i31+i3−1−i300002ζ11−2ζ11−2ζ112ζ1100000000
χ562-2-22200−2i2i00-2-220000−2i2i2i−2i00000000−1+i31−i31−i3−1+i3−1+i300−2ζ72ζ7001−i31−i3−1+i30000−2ζ72ζ72ζ7−2ζ700000000−1−i31+i31+i3−1−i3−1−i300−2ζ112ζ11001+i31+i3−1−i30000−2ζ112ζ112ζ11−2ζ1100000000
χ572-2-22-1002i−2i0011-13−3−33−iii−ii3−i3−i3i30000−1+i31−i31−i3−1+i31−i32002ζ7−2ζ700−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7ζ7ζ7−ζ7−3−i323+i323+i32−3−i320000−1−i31+i31+i3−1−i31+i32002ζ11−2ζ1100−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ11ζ11ζ11−ζ113−i32−3+i32−3+i323−i320000
χ582-2-22-1002i−2i0011-1−333−3−iii−i−i3i3i3−i30000−1+i31−i31−i3−1+i31−i32002ζ7−2ζ700−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7ζ7ζ7−ζ73+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i32002ζ11−2ζ1100−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−ζ11ζ11ζ11−ζ11−3+i323−i323−i32−3+i320000
χ592-2-22-100−2i2i0011-13−3−33i−i−ii−i3i3i3−i30000−1+i31−i31−i3−1+i31−i3200−2ζ72ζ700−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7−ζ7−ζ7ζ73+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−2ζ112ζ1100−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11ζ11−ζ11−ζ11ζ11−3+i323−i323−i32−3+i320000
χ602-2-22-100−2i2i0011-1−333−3i−i−iii3−i3−i3i30000−1+i31−i31−i3−1+i31−i3200−2ζ72ζ700−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7−ζ7−ζ7ζ7−3−i323+i323+i32−3−i320000−1−i31+i31+i3−1−i31+i3200−2ζ112ζ1100−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ11−ζ11−ζ11ζ113−i32−3+i32−3+i323−i320000
χ61111111111111111111111111111111−1−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
χ6211111111111111111111111111-1-1-1-1−1−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
χ631111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1−1−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−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ641111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111−1−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+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1−1−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+i32−1−i321+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−i32−1+i321−i32−1+i321−i32
χ6611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11−1−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+i321+i32−1−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−i321−i32−1+i321−i32−1+i32
χ6711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11−1−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−i321+i321+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+i32−1+i321−i321−i32−1+i32
χ6811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1−1−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−i321+i32−1−i32−1−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+i321−i32−1+i32−1+i321−i32
χ692222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1−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
χ702222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1−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
χ712222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1−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
χ722222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1−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
χ7322-2-222-200002-2-222-2-2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000
χ7422-2-22-2200002-2-2-2-222000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i31+i31+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i31−i31−i31−i3−1+i3−1+i3000000000000
χ7522-2-2-12-20000-111-1-11133−3−333−3−30000−1−i3−1−i31+i31+i31+i32−1−i31+i300001+i32−1−i32−1−i321+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i32−1+i31−i300001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ7622-2-2-12-20000-111-1-111−3−333−3−3330000−1−i3−1−i31+i31+i31+i32−1−i31+i300001+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i32−1+i31−i300001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ7722-2-2-1-220000-11111-1-133−3−3−3−3330000−1−i3−1−i31+i31+i31+i321+i3−1−i300001+i32−1−i32−1−i32−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i321−i3−1+i300001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ7822-2-2-1-220000-11111-1-1−3−33333−3−30000−1−i3−1−i31+i31+i31+i321+i3−1−i300001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i321−i3−1+i300001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ792-22-2200002i−2i-22-2000000002i−2i2i−2i0000−1−i31+i3−1−i31+i3−1−i300002ζ11−2ζ111+i3−1−i31+i3000000002ζ11−2ζ112ζ11−2ζ110000−1+i31−i3−1+i31−i3−1+i300002ζ7−2ζ71−i3−1+i31−i3000000002ζ7−2ζ72ζ7−2ζ70000
χ802-22-220000−2i2i-22-200000000−2i2i−2i2i0000−1−i31+i3−1−i31+i3−1−i30000−2ζ112ζ111+i3−1−i31+i300000000−2ζ112ζ11−2ζ112ζ110000−1+i31−i3−1+i31−i3−1+i30000−2ζ72ζ71−i3−1+i31−i300000000−2ζ72ζ7−2ζ72ζ70000
χ812-22-2-100002i−2i1-113−33−3−i3i3−i3i3−ii−ii0000−1−i31+i3−1−i31+i31+i3200002ζ11−2ζ11−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i32−3+i323−i32−ζ11ζ11−ζ11ζ110000−1+i31−i3−1+i31−i31−i3200002ζ7−2ζ7−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i323+i32−3−i32−ζ7ζ7−ζ7ζ70000
χ822-22-2-100002i−2i1-11−33−33i3−i3i3−i3−ii−ii0000−1−i31+i3−1−i31+i31+i3200002ζ11−2ζ11−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ113−i32−3+i323−i32−3+i32−ζ11ζ11−ζ11ζ110000−1+i31−i3−1+i31−i31−i3200002ζ7−2ζ7−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−3−i323+i32−3−i323+i32−ζ7ζ7−ζ7ζ70000
χ832-22-2-10000−2i2i1-113−33−3i3−i3i3−i3i−ii−i0000−1−i31+i3−1−i31+i31+i320000−2ζ112ζ11−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ113−i32−3+i323−i32−3+i32ζ11−ζ11ζ11−ζ110000−1+i31−i3−1+i31−i31−i320000−2ζ72ζ7−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−3−i323+i32−3−i323+i32ζ7−ζ7ζ7−ζ70000
χ842-22-2-10000−2i2i1-11−33−33−i3i3−i3i3i−ii−i0000−1−i31+i3−1−i31+i31+i320000−2ζ112ζ11−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−3+i323−i32−3+i323−i32ζ11−ζ11ζ11−ζ110000−1+i31−i3−1+i31−i31−i320000−2ζ72ζ7−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ113+i32−3−i323+i32−3−i32ζ7−ζ7ζ7−ζ70000
χ852-2-222002i−2i00-2-2200002i−2i−2i2i00000000−1−i31+i31+i3−1−i3−1−i3002ζ11−2ζ11001+i31+i3−1−i300002ζ11−2ζ11−2ζ112ζ1100000000−1+i31−i31−i3−1+i3−1+i3002ζ7−2ζ7001−i31−i3−1+i300002ζ7−2ζ7−2ζ72ζ700000000
χ862-2-22200−2i2i00-2-220000−2i2i2i−2i00000000−1−i31+i31+i3−1−i3−1−i300−2ζ112ζ11001+i31+i3−1−i30000−2ζ112ζ112ζ11−2ζ1100000000−1+i31−i31−i3−1+i3−1+i300−2ζ72ζ7001−i31−i3−1+i30000−2ζ72ζ72ζ7−2ζ700000000
χ872-2-22-1002i−2i0011-13−3−33−iii−ii3−i3−i3i30000−1−i31+i31+i3−1−i31+i32002ζ11−2ζ1100−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ11ζ11ζ11−ζ113−i32−3+i32−3+i323−i320000−1+i31−i31−i3−1+i31−i32002ζ7−2ζ700−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7ζ7ζ7−ζ7−3−i323+i323+i32−3−i320000
χ882-2-22-1002i−2i0011-1−333−3−iii−i−i3i3i3−i30000−1−i31+i31+i3−1−i31+i32002ζ11−2ζ1100−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−ζ11ζ11ζ11−ζ11−3+i323−i323−i32−3+i320000−1+i31−i31−i3−1+i31−i32002ζ7−2ζ700−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7ζ7ζ7−ζ73+i32−3−i32−3−i323+i320000
χ892-2-22-100−2i2i0011-13−3−33i−i−ii−i3i3i3−i30000−1−i31+i31+i3−1−i31+i3200−2ζ112ζ1100−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11ζ11−ζ11−ζ11ζ11−3+i323−i323−i32−3+i320000−1+i31−i31−i3−1+i31−i3200−2ζ72ζ700−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7−ζ7−ζ7ζ73+i32−3−i32−3−i323+i320000
χ902-2-22-100−2i2i0011-1−333−3i−i−iii3−i3−i3i30000−1−i31+i31+i3−1−i31+i3200−2ζ112ζ1100−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ11−ζ11−ζ11ζ113−i32−3+i32−3+i323−i320000−1+i31−i31−i3−1+i31−i3200−2ζ72ζ700−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7−ζ7−ζ7ζ7−3−i323+i323+i32−3−i320000

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