Finite Group Databasebeta

← Group #13166745

Character table — Group #13166745

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111144444444488881818242424242424242424242424363636363611114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order122233466666612121212444444121212121212121248888366633126666661212121212121212121212121212121212121224242424366633126666661212121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-22-222022-2-2-2-200002-20000000000000002-22-22-222022-2-2-2-200002-20000000000000002-22-22-222022-2-2-2-200002-20000000000000002-2
χ122-22-222022-2-2-2-200002-2000000000000000-222-22-222022-2-2-2-200002-2000000000000000-222-22-222022-2-2-2-200002-2000000000000000-22
χ132-22-222022-2-2-2-20000-2200000000000002-2002-22-222022-2-2-2-20000-2200000000000002-2002-22-222022-2-2-2-20000-2200000000000002-200
χ142-22-222022-2-2-2-20000-220000000000000-22002-22-222022-2-2-2-20000-220000000000000-22002-22-222022-2-2-2-20000-220000000000000-2200
χ1544441-241-21-2-2111-2-20000220000-1-1-1-10000044441-241-21-2-2111-2-20000220000-1-1-1-10000044441-241-21-2-2111-2-20000220000-1-1-1-100000
χ1644441-241-21-2-2111-2-20000-2-2000011110000044441-241-21-2-2111-2-20000-2-2000011110000044441-241-21-2-2111-2-20000-2-20000111100000
χ1744441-2-41-21-2-21-1-12200002-20000-1-1110000044441-2-41-21-2-21-1-12200002-20000-1-1110000044441-2-41-21-2-21-1-12200002-20000-1-11100000
χ1844441-2-41-21-2-21-1-1220000-22000011-1-10000044441-2-41-21-2-21-1-1220000-22000011-1-10000044441-2-41-21-2-21-1-1220000-22000011-1-100000
χ194444-214-21-211-2-2-211002200-1-1-1-10000000004444-214-21-211-2-2-211002200-1-1-1-10000000004444-214-21-211-2-2-211002200-1-1-1-1000000000
χ204444-214-21-211-2-2-21100-2-20011110000000004444-214-21-211-2-2-21100-2-20011110000000004444-214-21-211-2-2-21100-2-2001111000000000
χ214444-21-4-21-211-222-1-1002-20011-1-10000000004444-21-4-21-211-222-1-1002-20011-1-10000000004444-21-4-21-211-222-1-1002-20011-1-1000000000
χ224444-21-4-21-211-222-1-100-2200-1-1110000000004444-21-4-21-211-222-1-100-2200-1-1110000000004444-21-4-21-211-222-1-100-2200-1-111000000000
χ2344-4-41-20-1212-2-13-30000000000003−33−30000044-4-41-20-1212-2-13-30000000000003−33−30000044-4-41-20-1212-2-13-30000000000003−33−300000
χ2444-4-41-20-1212-2-13-3000000000000−33−330000044-4-41-20-1212-2-13-3000000000000−33−330000044-4-41-20-1212-2-13-3000000000000−33−3300000
χ2544-4-41-20-1212-2-1-330000000000003−3−330000044-4-41-20-1212-2-1-330000000000003−3−330000044-4-41-20-1212-2-1-330000000000003−3−3300000
χ2644-4-41-20-1212-2-1-33000000000000−333−30000044-4-41-20-1212-2-1-33000000000000−333−30000044-4-41-20-1212-2-1-33000000000000−333−300000
χ2744-4-4440-4-44-44-40000000000000000000000044-4-4440-4-44-44-40000000000000000000000044-4-4440-4-44-44-400000000000000000000000
χ284-4-44440-4-4-44-44000000000000000000000004-4-44440-4-4-44-44000000000000000000000004-4-44440-4-4-44-4400000000000000000000000
χ294-4-44-2102-121-1-2003i−3i000000−i3i33−30000000004-4-44-2102-121-1-2003i−3i000000−i3i33−30000000004-4-44-2102-121-1-2003i−3i000000−i3i33−3000000000
χ304-4-44-2102-121-1-2003i−3i000000i3−i3−330000000004-4-44-2102-121-1-2003i−3i000000i3−i3−330000000004-4-44-2102-121-1-2003i−3i000000i3−i3−33000000000
χ314-4-44-2102-121-1-200−3i3i000000−i3i3−330000000004-4-44-2102-121-1-200−3i3i000000−i3i3−330000000004-4-44-2102-121-1-200−3i3i000000−i3i3−33000000000
χ324-4-44-2102-121-1-200−3i3i000000i3−i33−30000000004-4-44-2102-121-1-200−3i3i000000i3−i33−30000000004-4-44-2102-121-1-200−3i3i000000i3−i33−3000000000
χ3388-8-8-4204-2-4-2240000000000000000000000088-8-8-4204-2-4-2240000000000000000000000088-8-8-4204-2-4-22400000000000000000000000
χ348-88-82-402-4-244-2000000000000000000000008-88-82-402-4-244-2000000000000000000000008-88-82-402-4-244-200000000000000000000000
χ358-88-8-420-424-2-24000000000000000000000008-88-8-420-424-2-24000000000000000000000008-88-8-420-424-2-2400000000000000000000000
χ368-8-882-40-24-2-442000000000000000000000008-8-882-40-24-2-442000000000000000000000008-8-882-40-24-2-44200000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ38111111111111111111111-1-11111-1-1-1-11-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111111-1-111-1-1-1-111111-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ42111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ43111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ44111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ4522222222222222222-2-2000000000000-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000001+i30000
χ46222222-2222222-2-2-2-2-2-200000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000−1−i30000
χ472-22-222022-2-2-2-200002-20000000000000002-2−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3000000000000000−1+i31−i3−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3000000000000000−1−i31+i3
χ482-22-222022-2-2-2-200002-2000000000000000-22−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i30000000000000001−i3−1+i3−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i30000000000000001+i3−1−i3
χ492-22-222022-2-2-2-20000-2200000000000002-200−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i30000000000000−1+i31−i300−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i30000000000000−1−i31+i300
χ502-22-222022-2-2-2-20000-220000000000000-2200−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i300000000000001−i3−1+i300−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i300000000000001+i3−1−i300
χ5144441-241-21-2-2111-2-20000220000-1-1-1-100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i30000−1+i3−1+i300001−i321−i321−i321−i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i30000−1−i3−1−i300001+i321+i321+i321+i3200000
χ5244441-241-21-2-2111-2-20000-2-20000111100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i300001−i31−i30000−1+i32−1+i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i300001+i31+i30000−1−i32−1−i32−1−i32−1−i3200000
χ5344441-2-41-21-2-21-1-12200002-20000-1-11100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i30000−1+i31−i300001−i321−i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i30000−1−i31+i300001+i321+i32−1−i32−1−i3200000
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χ554444-214-21-211-2-2-211002200-1-1-1-1000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3200−1+i3−1+i3001−i321−i321−i321−i32000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3200−1−i3−1−i3001+i321+i321+i321+i32000000000
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χ9044441-2-41-21-2-21-1-1220000-22000011-1-100000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i300001+i3−1−i30000−1−i32−1−i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i300001−i3−1+i30000−1+i32−1+i321−i321−i3200000
χ914444-214-21-211-2-2-211002200-1-1-1-1000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3200−1−i3−1−i3001+i321+i321+i321+i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3200−1+i3−1+i3001−i321−i321−i321−i32000000000
χ924444-214-21-211-2-2-21100-2-2001111000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32001+i31+i300−1−i32−1−i32−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32001−i31−i300−1+i32−1+i32−1+i32−1+i32000000000
χ934444-21-4-21-211-222-1-1002-20011-1-1000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i3200−1−i31+i300−1−i32−1−i321+i321+i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i3200−1+i31−i300−1+i32−1+i321−i321−i32000000000
χ944444-21-4-21-211-222-1-100-2200-1-111000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i32001+i3−1−i3001+i321+i32−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i32001−i3−1+i3001−i321−i32−1+i32−1+i32000000000
χ9544-4-41-20-1212-2-13-30000000000003−33−300000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i32−1−i31+i31+i32−3−3i323+3i320000000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i32−1+i31−i31−i32−3+3i323−3i32000000000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ9644-4-41-20-1212-2-13-3000000000000−33−3300000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i32−1−i31+i31+i32−3−3i323+3i32000000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i32−1+i31−i31−i32−3+3i323−3i32000000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ9744-4-41-20-1212-2-1-330000000000003−3−3300000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i32−1−i31+i31+i323+3i32−3−3i320000000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i32−1+i31−i31−i323−3i32−3+3i32000000000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ9844-4-41-20-1212-2-1-33000000000000−333−300000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i32−1−i31+i31+i323+3i32−3−3i32000000000000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i32−1+i31−i31−i323−3i32−3+3i32000000000000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ9944-4-4440-4-44-44-400000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i32+2i3−2−2i32+2i3−2−2i32+2i300000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i32−2i3−2+2i32−2i3−2+2i32−2i300000000000000000000000
χ1004-4-44440-4-4-44-4400000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i302+2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i302−2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000000
χ1014-4-44-2102-121-1-2003i−3i000000−i3i33−3000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i3−1−i321+i321+i3003ζ11−3ζ11000000−3+i323−i322ζ7+ζ11−2ζ7−ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i3−1+i321−i321−i3003ζ7−3ζ70000003+i32−3−i32−ζ7−2ζ11ζ7+2ζ11000000000
χ1024-4-44-2102-121-1-2003i−3i000000i3−i3−33000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i3−1−i321+i321+i3003ζ11−3ζ110000003−i32−3+i32−2ζ7−ζ112ζ7+ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i3−1+i321−i321−i3003ζ7−3ζ7000000−3−i323+i32ζ7+2ζ11−ζ7−2ζ11000000000
χ1034-4-44-2102-121-1-200−3i3i000000−i3i3−33000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i3−1−i321+i321+i300−3ζ113ζ11000000−3+i323−i32−2ζ7−ζ112ζ7+ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i3−1+i321−i321−i300−3ζ73ζ70000003+i32−3−i32ζ7+2ζ11−ζ7−2ζ11000000000
χ1044-4-44-2102-121-1-200−3i3i000000i3−i33−3000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i3−1−i321+i321+i300−3ζ113ζ110000003−i32−3+i322ζ7+ζ11−2ζ7−ζ11000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i3−1+i321−i321−i300−3ζ73ζ7000000−3−i323+i32−ζ7−2ζ11ζ7+2ζ11000000000
χ10588-8-8-4204-2-4-22400000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i30−2−2i31+i32+2i31+i3−1−i3−2−2i300000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i30−2+2i31−i32−2i31−i3−1+i3−2+2i300000000000000000000000
χ1068-88-82-402-4-244-200000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i30−1−i32+2i31+i3−2−2i3−2−2i31+i300000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i30−1+i32−2i31−i3−2+2i3−2+2i31−i300000000000000000000000
χ1078-88-8-420-424-2-2400000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i302+2i3−1−i3−2−2i31+i31+i3−2−2i300000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i302−2i3−1+i3−2+2i31−i31−i3−2+2i300000000000000000000000
χ1088-8-882-40-24-2-44200000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i31+i32+2i3−2−2i3−1−i300000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i31−i32−2i3−2+2i3−1+i300000000000000000000000

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