Finite Group Databasebeta

← Group #72276696

Character table — Group #72276696

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112336121212122424242448484848484896969696969612812812812811233612121212242424244848484848489696969696961281281281281123361212121224242424484848484848969696969696128128128128
order12222222222244244444444488366636666666666612126121212121212121212242436663666666666661212612121212121212121224243666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111
χ322222222222222000022000000-1-1-1-122222222222222000022000000-1-1-1-122222222222222000022000000-1-1-1-1
χ433333333-1-13-1-1-11111-1-111-1-1-1-1000033333333-1-13-1-1-11111-1-111-1-1-1-1000033333333-1-13-1-1-11111-1-111-1-1-1-10000
χ533333333-1-13-1-1-1-1-1-1-1-1-1-1-11111000033333333-1-13-1-1-1-1-1-1-1-1-1-1-11111000033333333-1-13-1-1-1-1-1-1-1-1-1-1-111110000
χ6333333-1-133-13-1-11111-1-1-1-111-1-10000333333-1-133-13-1-11111-1-1-1-111-1-10000333333-1-133-13-1-11111-1-1-1-111-1-10000
χ7333333-1-133-13-1-1-1-1-1-1-1-111-1-1110000333333-1-133-13-1-1-1-1-1-1-1-111-1-1110000333333-1-133-13-1-1-1-1-1-1-1-111-1-1110000
χ8333333-1-1-1-1-1-1331111-1-1-1-1-1-1110000333333-1-1-1-1-1-1331111-1-1-1-1-1-1110000333333-1-1-1-1-1-1331111-1-1-1-1-1-1110000
χ9333333-1-1-1-1-1-133-1-1-1-1-1-11111-1-10000333333-1-1-1-1-1-133-1-1-1-1-1-11111-1-10000333333-1-1-1-1-1-133-1-1-1-1-1-11111-1-10000
χ1044-444-4000000002-22-20000000011-1-144-444-4000000002-22-20000000011-1-144-444-4000000002-22-20000000011-1-1
χ1144-444-400000000-22-220000000011-1-144-444-400000000-22-220000000011-1-144-444-400000000-22-220000000011-1-1
χ12666666-2-2-2-2-2-2-2-20000220000000000666666-2-2-2-2-2-2-2-20000220000000000666666-2-2-2-2-2-2-2-20000220000000000
χ1366-6-2-222222-2-22-22-2-2200000000000066-6-2-222222-2-22-22-2-2200000000000066-6-2-222222-2-22-22-2-22000000000000
χ1466-6-2-222222-2-22-2-222-200000000000066-6-2-222222-2-22-2-222-200000000000066-6-2-222222-2-22-2-222-2000000000000
χ1566-6-2-2222-2-2-22-220000002-20000000066-6-2-2222-2-2-22-220000002-20000000066-6-2-2222-2-2-22-220000002-200000000
χ1666-6-2-2222-2-2-22-22000000-220000000066-6-2-2222-2-2-22-22000000-220000000066-6-2-2222-2-2-22-22000000-2200000000
χ1766-6-2-22-2-2222-2-22000000002-200000066-6-2-22-2-2222-2-22000000002-200000066-6-2-22-2-2222-2-22000000002-2000000
χ1866-6-2-22-2-2222-2-2200000000-2200000066-6-2-22-2-2222-2-2200000000-2200000066-6-2-22-2-2222-2-2200000000-22000000
χ1966-6-2-22-2-2-2-2222-200000000002i−2i000066-6-2-22-2-2-2-2222-200000000002i−2i000066-6-2-22-2-2-2-2222-200000000002i−2i0000
χ2066-6-2-22-2-2-2-2222-20000000000−2i2i000066-6-2-22-2-2-2-2222-20000000000−2i2i000066-6-2-22-2-2-2-2222-20000000000−2i2i0000
χ2188-888-800000000000000000000-1-11188-888-800000000000000000000-1-11188-888-800000000000000000000-1-111
χ228-808-80000000000000000000002-2008-808-80000000000000000000002-2008-808-80000000000000000000002-200
χ238-808-8000000000000000000000-11−i3i38-808-8000000000000000000000-11−i3i38-808-8000000000000000000000-11−i3i3
χ248-808-8000000000000000000000-11i3−i38-808-8000000000000000000000-11i3−i38-808-8000000000000000000000-11i3−i3
χ25121212-4-4-40000000022-2-2000000000000121212-4-4-40000000022-2-2000000000000121212-4-4-40000000022-2-2000000000000
χ26121212-4-4-400000000-2-222000000000000121212-4-4-400000000-2-222000000000000121212-4-4-400000000-2-222000000000000
χ2712-120-4404-44-4000000002-2000000000012-120-4404-44-4000000002-2000000000012-120-4404-44-4000000002-20000000000
χ2812-120-4404-4-4400000000-22000000000012-120-4404-4-4400000000-22000000000012-120-4404-4-4400000000-220000000000
χ2912-120-440-444-400000000-22000000000012-120-440-444-400000000-22000000000012-120-440-444-400000000-220000000000
χ3012-120-440-44-44000000002-2000000000012-120-440-44-44000000002-2000000000012-120-440-44-44000000002-20000000000
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
χ3211111111111111-1-1-1-111-1-1-1-1-1-11111−1+i32−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3322222222222222000022000000-1-1-1-1−1+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+i30000−1+i3−1+i30000001−i321−i321−i321−i32−1−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−i30000−1−i3−1−i30000001+i321+i321+i321+i32
χ3433333333-1-13-1-1-11111-1-111-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i320000
χ3533333333-1-13-1-1-1-1-1-1-1-1-1-1-111110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ36333333-1-133-13-1-11111-1-1-1-111-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i320000
χ37333333-1-133-13-1-1-1-1-1-1-1-111-1-1110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000
χ38333333-1-1-1-1-1-1331111-1-1-1-1-1-1110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320000
χ39333333-1-1-1-1-1-133-1-1-1-1-1-11111-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000
χ4044-444-4000000002-22-20000000011-1-1−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i300000000−1+i31−i3−1+i31−i300000000−1+i32−1+i321−i321−i32−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i300000000−1−i31+i3−1−i31+i300000000−1−i32−1−i321+i321+i32
χ4144-444-400000000-22-220000000011-1-1−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i3000000001−i3−1+i31−i3−1+i300000000−1+i32−1+i321−i321−i32−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i3000000001+i3−1−i31+i3−1−i300000000−1−i32−1−i321+i321+i32
χ42666666-2-2-2-2-2-2-2-20000220000000000−3+3i3−3+3i3−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i31−i31−i30000−1+i3−1+i30000000000−3−3i3−3−3i3−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i31+i31+i30000−1−i3−1−i30000000000
χ4366-6-2-222222-2-22-22-2-22000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3000000000000
χ4466-6-2-222222-2-22-2-222-2000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3000000000000
χ4566-6-2-2222-2-2-22-220000002-200000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000−1+i31−i300000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000−1−i31+i300000000
χ4666-6-2-2222-2-2-22-22000000-2200000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000001−i3−1+i300000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000001+i3−1−i300000000
χ4766-6-2-22-2-2222-2-22000000002-2000000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i3000000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i3000000
χ4866-6-2-22-2-2222-2-2200000000-22000000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i3000000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i3000000
χ4966-6-2-22-2-2-2-2222-200000000002i−2i0000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i300000000002ζ7−2ζ70000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i300000000002ζ11−2ζ110000
χ5066-6-2-22-2-2-2-2222-20000000000−2i2i0000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000−2ζ72ζ70000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000−2ζ112ζ110000
χ5188-888-800000000000000000000-1-111−4+4i3−4+4i34−4i3−4+4i3−4+4i34−4i3000000000000000000001−i321−i32−1+i32−1+i32−4−4i3−4−4i34+4i3−4−4i3−4−4i34+4i3000000000000000000001+i321+i32−1−i32−1−i32
χ528-808-80000000000000000000002-200−4+4i34−4i30−4+4i34−4i3000000000000000000000−1+i31−i300−4−4i34+4i30−4−4i34+4i3000000000000000000000−1−i31+i300
χ538-808-8000000000000000000000-11−i3i3−4+4i34−4i30−4+4i34−4i30000000000000000000001−i32−1+i323+i32−3−i32−4−4i34+4i30−4−4i34+4i30000000000000000000001+i32−1−i32−3+i323−i32
χ548-808-8000000000000000000000-11i3−i3−4+4i34−4i30−4+4i34−4i30000000000000000000001−i32−1+i32−3−i323+i32−4−4i34+4i30−4−4i34+4i30000000000000000000001+i32−1−i323−i32−3+i32
χ55121212-4-4-40000000022-2-2000000000000−6+6i3−6+6i3−6+6i32−2i32−2i32−2i300000000−1+i3−1+i31−i31−i3000000000000−6−6i3−6−6i3−6−6i32+2i32+2i32+2i300000000−1−i3−1−i31+i31+i3000000000000
χ56121212-4-4-400000000-2-222000000000000−6+6i3−6+6i3−6+6i32−2i32−2i32−2i3000000001−i31−i3−1+i3−1+i3000000000000−6−6i3−6−6i3−6−6i32+2i32+2i32+2i3000000001+i31+i3−1−i3−1−i3000000000000
χ5712-120-4404-44-4000000002-20000000000−6+6i36−6i302−2i3−2+2i30−2+2i32−2i3−2+2i32−2i300000000−1+i31−i30000000000−6−6i36+6i302+2i3−2−2i30−2−2i32+2i3−2−2i32+2i300000000−1−i31+i30000000000
χ5812-120-4404-4-4400000000-220000000000−6+6i36−6i302−2i3−2+2i30−2+2i32−2i32−2i3−2+2i3000000001−i3−1+i30000000000−6−6i36+6i302+2i3−2−2i30−2−2i32+2i32+2i3−2−2i3000000001+i3−1−i30000000000
χ5912-120-440-444-400000000-220000000000−6+6i36−6i302−2i3−2+2i302−2i3−2+2i3−2+2i32−2i3000000001−i3−1+i30000000000−6−6i36+6i302+2i3−2−2i302+2i3−2−2i3−2−2i32+2i3000000001+i3−1−i30000000000
χ6012-120-440-44-44000000002-20000000000−6+6i36−6i302−2i3−2+2i302−2i3−2+2i32−2i3−2+2i300000000−1+i31−i30000000000−6−6i36+6i302+2i3−2−2i302+2i3−2−2i32+2i3−2−2i300000000−1−i31+i30000000000
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
χ6211111111111111-1-1-1-111-1-1-1-1-1-11111−1−i32−1−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−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6322222222222222000022000000-1-1-1-1−1−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−i30000−1−i3−1−i30000001+i321+i321+i321+i32−1+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+i30000−1+i3−1+i30000001−i321−i321−i321−i32
χ6433333333-1-13-1-1-11111-1-111-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i320000
χ6533333333-1-13-1-1-1-1-1-1-1-1-1-1-111110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ66333333-1-133-13-1-11111-1-1-1-111-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i320000
χ67333333-1-133-13-1-1-1-1-1-1-1-111-1-1110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000
χ68333333-1-1-1-1-1-1331111-1-1-1-1-1-1110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320000
χ69333333-1-1-1-1-1-133-1-1-1-1-1-11111-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000
χ7044-444-4000000002-22-20000000011-1-1−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i300000000−1−i31+i3−1−i31+i300000000−1−i32−1−i321+i321+i32−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i300000000−1+i31−i3−1+i31−i300000000−1+i32−1+i321−i321−i32
χ7144-444-400000000-22-220000000011-1-1−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i3000000001+i3−1−i31+i3−1−i300000000−1−i32−1−i321+i321+i32−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i3000000001−i3−1+i31−i3−1+i300000000−1+i32−1+i321−i321−i32
χ72666666-2-2-2-2-2-2-2-20000220000000000−3−3i3−3−3i3−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i31+i31+i30000−1−i3−1−i30000000000−3+3i3−3+3i3−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i31−i31−i30000−1+i3−1+i30000000000
χ7366-6-2-222222-2-22-22-2-22000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3000000000000
χ7466-6-2-222222-2-22-2-222-2000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3000000000000
χ7566-6-2-2222-2-2-22-220000002-200000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000−1−i31+i300000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000−1+i31−i300000000
χ7666-6-2-2222-2-2-22-22000000-2200000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000001+i3−1−i300000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000001−i3−1+i300000000
χ7766-6-2-22-2-2222-2-22000000002-2000000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i3000000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i3000000
χ7866-6-2-22-2-2222-2-2200000000-22000000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i3000000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i3000000
χ7966-6-2-22-2-2-2-2222-200000000002i−2i0000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i300000000002ζ11−2ζ110000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i300000000002ζ7−2ζ70000
χ8066-6-2-22-2-2-2-2222-20000000000−2i2i0000−3−3i3−3−3i33+3i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000−2ζ112ζ110000−3+3i3−3+3i33−3i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000−2ζ72ζ70000
χ8188-888-800000000000000000000-1-111−4−4i3−4−4i34+4i3−4−4i3−4−4i34+4i3000000000000000000001+i321+i32−1−i32−1−i32−4+4i3−4+4i34−4i3−4+4i3−4+4i34−4i3000000000000000000001−i321−i32−1+i32−1+i32
χ828-808-80000000000000000000002-200−4−4i34+4i30−4−4i34+4i3000000000000000000000−1−i31+i300−4+4i34−4i30−4+4i34−4i3000000000000000000000−1+i31−i300
χ838-808-8000000000000000000000-11−i3i3−4−4i34+4i30−4−4i34+4i30000000000000000000001+i32−1−i32−3+i323−i32−4+4i34−4i30−4+4i34−4i30000000000000000000001−i32−1+i323+i32−3−i32
χ848-808-8000000000000000000000-11i3−i3−4−4i34+4i30−4−4i34+4i30000000000000000000001+i32−1−i323−i32−3+i32−4+4i34−4i30−4+4i34−4i30000000000000000000001−i32−1+i32−3−i323+i32
χ85121212-4-4-40000000022-2-2000000000000−6−6i3−6−6i3−6−6i32+2i32+2i32+2i300000000−1−i3−1−i31+i31+i3000000000000−6+6i3−6+6i3−6+6i32−2i32−2i32−2i300000000−1+i3−1+i31−i31−i3000000000000
χ86121212-4-4-400000000-2-222000000000000−6−6i3−6−6i3−6−6i32+2i32+2i32+2i3000000001+i31+i3−1−i3−1−i3000000000000−6+6i3−6+6i3−6+6i32−2i32−2i32−2i3000000001−i31−i3−1+i3−1+i3000000000000
χ8712-120-4404-44-4000000002-20000000000−6−6i36+6i302+2i3−2−2i30−2−2i32+2i3−2−2i32+2i300000000−1−i31+i30000000000−6+6i36−6i302−2i3−2+2i30−2+2i32−2i3−2+2i32−2i300000000−1+i31−i30000000000
χ8812-120-4404-4-4400000000-220000000000−6−6i36+6i302+2i3−2−2i30−2−2i32+2i32+2i3−2−2i3000000001+i3−1−i30000000000−6+6i36−6i302−2i3−2+2i30−2+2i32−2i32−2i3−2+2i3000000001−i3−1+i30000000000
χ8912-120-440-444-400000000-220000000000−6−6i36+6i302+2i3−2−2i302+2i3−2−2i3−2−2i32+2i3000000001+i3−1−i30000000000−6+6i36−6i302−2i3−2+2i302−2i3−2+2i3−2+2i32−2i3000000001−i3−1+i30000000000
χ9012-120-440-44-44000000002-20000000000−6−6i36+6i302+2i3−2−2i302+2i3−2−2i32+2i3−2−2i300000000−1−i31+i30000000000−6+6i36−6i302−2i3−2+2i302−2i3−2+2i32−2i3−2+2i300000000−1+i31−i30000000000

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