Finite Group Databasebeta

← Group #11799102

Character table — Group #11799102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222222444444668888888881212121616161616242424244811222222244444466888888888121212161616161624242424481122222224444446688888888812121216161616162424242448
order12234468868121224248888161624484848484482662424241616236631212624246241212242424242424484824484848481212246662424612484863663121262424624121224242424242448482448484848121224666242461248486
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11-1-1-1-1111-1-1-11111-1-1-11111111111111111111-1-11-1-1-1-1111-1-1-11111-1-1-11111111111111111111-1-11-1-1-1-1111-1-1-11111-1-1-1
χ311111111111111111-1-11111111111-1-1-1-1-1-1-111-111111111111111111-1-11111111111-1-1-1-1-1-1-111-111111111111111111-1-11111111111-1-1-1-1-1-1-111-1
χ411111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11
χ5111111111111111-1-1111111111-1-1-111111-1-1-1-1-1111111111111111-1-1111111111-1-1-111111-1-1-1-1-1111111111111111-1-1111111111-1-1-111111-1-1-1-1-1
χ6111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11
χ8111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111-1-11111-1111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111-1-11111-1111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111-1-11111-1
χ92222222-2-22-222-2-2220000-20000-2-2200000000002222222-2-22-222-2-2220000-20000-2-2200000000002222222-2-22-222-2-2220000-20000-2-220000000000
χ102222222-2-22-222-2-2-2-20000-2000022-200000000002222222-2-22-222-2-2-2-20000-2000022-200000000002222222-2-22-222-2-2-2-20000-2000022-20000000000
χ11222-122-122-12-1-1-1-1002222-1-1-1-1-10002-1-1-1-100000222-122-122-12-1-1-1-1002222-1-1-1-1-10002-1-1-1-100000222-122-122-12-1-1-1-1002222-1-1-1-1-10002-1-1-1-100000
χ12222-122-122-12-1-1-1-10022-2-2-11111000-211-1-100000222-122-122-12-1-1-1-10022-2-2-11111000-211-1-100000222-122-122-12-1-1-1-10022-2-2-11111000-211-1-100000
χ13222-122-122-12-1-1-1-100-2-222-1-1-1-1-1000-2111100000222-122-122-12-1-1-1-100-2-222-1-1-1-1-1000-2111100000222-122-122-12-1-1-1-100-2-222-1-1-1-1-1000-2111100000
χ14222-122-122-12-1-1-1-100-2-2-2-2-111110002-1-11100000222-122-122-12-1-1-1-100-2-2-2-2-111110002-1-11100000222-122-122-12-1-1-1-100-2-2-2-2-111110002-1-11100000
χ1522-222-2222-2-22-222000000-20000000000002-200022-222-2222-2-22-222000000-20000000000002-200022-222-2222-2-22-222000000-20000000000002-2000
χ1622-222-2222-2-22-222000000-2000000000000-2200022-222-2222-2-22-222000000-2000000000000-2200022-222-2222-2-22-222000000-2000000000000-22000
χ1722-222-22-2-2-222-2-2-2002i−2i00200000000002i−2i0000022-222-22-2-2-222-2-2-2002i−2i00200000000002i−2i0000022-222-22-2-2-222-2-2-2002i−2i00200000000002i−2i00000
χ1822-222-22-2-2-222-2-2-200−2i2i0020000000000−2i2i0000022-222-22-2-2-222-2-2-200−2i2i0020000000000−2i2i0000022-222-22-2-2-222-2-2-200−2i2i0020000000000−2i2i00000
χ1922-22-22200-20-220022002−2022−2−200-200000002−2022-22-22200-20-220022002−2022−2−200-200000002−2022-22-22200-20-220022002−2022−2−200-200000002−20
χ2022-22-22200-20-22002200−220−2−22200-20000000−22022-22-22200-20-22002200−220−2−22200-20000000−22022-22-22200-20-22002200−220−2−22200-20000000−220
χ2122-22-22200-20-2200-2-2002−2022−2−20020000000−22022-22-22200-20-2200-2-2002−2022−2−20020000000−22022-22-22200-20-2200-2-2002−2022−2−20020000000−220
χ2222-22-22200-20-2200-2-200−220−2−22200200000002−2022-22-22200-20-2200-2-200−220−2−22200200000002−2022-22-22200-20-2200-2-200−220−2−22200200000002−20
χ2322-2-12-2-1-2-212-1111002i−2i00-13−33−30000−i3i3−ii0000022-2-12-2-1-2-212-1111002i−2i00-13−33−30000−i3i3−ii0000022-2-12-2-1-2-212-1111002i−2i00-13−33−30000−i3i3−ii00000
χ2422-2-12-2-1-2-212-1111002i−2i00-1−33−330000i3−i3−ii0000022-2-12-2-1-2-212-1111002i−2i00-1−33−330000i3−i3−ii0000022-2-12-2-1-2-212-1111002i−2i00-1−33−330000i3−i3−ii00000
χ2522-2-12-2-1-2-212-111100−2i2i00-13−33−30000i3−i3i−i0000022-2-12-2-1-2-212-111100−2i2i00-13−33−30000i3−i3i−i0000022-2-12-2-1-2-212-111100−2i2i00-13−33−30000i3−i3i−i00000
χ2622-2-12-2-1-2-212-111100−2i2i00-1−33−330000−i3i3i−i0000022-2-12-2-1-2-212-111100−2i2i00-1−33−330000−i3i3i−i0000022-2-12-2-1-2-212-111100−2i2i00-1−33−330000−i3i3i−i00000
χ274444-4-440040-4-4000000000000000000000000004444-4-440040-4-4000000000000000000000000004444-4-440040-4-400000000000000000000000000
χ28444-244-2-4-4-2-4-2-222000000200000000000000000444-244-2-4-4-2-4-2-222000000200000000000000000444-244-2-4-4-2-4-2-222000000200000000000000000
χ29444-2-4-4-200-20220000000006−6−660000000000000444-2-4-4-200-20220000000006−6−660000000000000444-2-4-4-200-20220000000006−6−660000000000000
χ30444-2-4-4-200-2022000000000−666−60000000000000444-2-4-4-200-2022000000000−666−60000000000000444-2-4-4-200-2022000000000−666−60000000000000
χ3144-4-24-4-2442-4-22-2-200000020000000000000000044-4-24-4-2442-4-22-2-200000020000000000000000044-4-24-4-2442-4-22-2-2000000200000000000000000
χ3244-4-2-44-200202-200000022−220−2−222000000000000044-4-2-44-200202-200000022−220−2−222000000000000044-4-2-44-200202-200000022−220−2−2220000000000000
χ3344-4-2-44-200202-2000000−2222022−2−2000000000000044-4-2-44-200202-2000000−2222022−2−2000000000000044-4-2-44-200202-2000000−2222022−2−20000000000000
χ344-40400-422−22000022−2222−220000000002-2000000000004-40400-422−22000022−2222−220000000002-2000000000004-40400-422−22000022−2222−220000000002-200000000000
χ354-40400-422−22000022−22−2222000000000-22000000000004-40400-422−22000022−22−2222000000000-22000000000004-40400-422−22000022−22−2222000000000-2200000000000
χ364-40400-4−22220000−222222−22000000000-22000000000004-40400-4−22220000−222222−22000000000-22000000000004-40400-4−22220000−222222−22000000000-2200000000000
χ374-40400-4−22220000−2222−22220000000002-2000000000004-40400-4−22220000−2222−22220000000002-2000000000004-40400-4−22220000−2222−22220000000002-200000000000
χ388-80-400442−420000−22220000000000000000000000008-80-400442−420000−22220000000000000000000000008-80-400442−420000−2222000000000000000000000000
χ398-80-4004−4242000022−220000000000000000000000008-80-4004−4242000022−220000000000000000000000008-80-4004−4242000022−22000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111111111-1-11-1-1-1-1111-1-1-11111-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ4211111111111111111-1-11111111111-1-1-1-1-1-1-111-1−1+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+i321−i321−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−i32−1+i32−1+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−i321+i321+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+i32−1−i32−1−i321+i32
χ4311111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ44111111111111111-1-1111111111-1-1-111111-1-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ45111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111−1+i32−1+i32−1+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−i32−1+i321−i321−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−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+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ46111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11−1+i32−1+i32−1+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+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−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+i32−1−i32−1−i321+i321+i32−1−i32
χ47111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111-1-11111-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ482222222-2-22-222-2-2220000-20000-2-220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i300001−i31−i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i300001+i31+i3−1−i30000000000
χ492222222-2-22-222-2-2-2-20000-2000022-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300001−i30000−1+i3−1+i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300001+i30000−1−i3−1−i31+i30000000000
χ50222-122-122-12-1-1-1-1002222-1-1-1-1-10002-1-1-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32000−1+i31−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32000−1−i31+i321+i321+i321+i3200000
χ51222-122-122-12-1-1-1-10022-2-2-11111000-211-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i320001−i3−1+i32−1+i321−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i320001+i3−1−i32−1−i321+i321+i3200000
χ52222-122-122-12-1-1-1-100-2-222-1-1-1-1-1000-2111100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i320001−i3−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i320001+i3−1−i32−1−i32−1−i32−1−i3200000
χ53222-122-122-12-1-1-1-100-2-2-2-2-111110002-1-11100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000−1+i31−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000−1−i31+i321+i32−1−i32−1−i3200000
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χ83111111111111111-1-1111111111-1-1-111111-1-1-1-1-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ84111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111−1−i32−1−i32−1−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+i32−1−i321+i321+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+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−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ85111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11−1−i32−1−i32−1−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−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+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−i32−1+i32−1+i321−i321−i32−1+i32
χ86111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111-1-11111-1−1−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−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ872222222-2-22-222-2-2220000-20000-2-220000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i300001+i31+i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i300001−i31−i3−1+i30000000000
χ882222222-2-22-222-2-2-2-20000-2000022-20000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300001+i30000−1−i3−1−i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300001−i30000−1+i3−1+i31−i30000000000
χ89222-122-122-12-1-1-1-1002222-1-1-1-1-10002-1-1-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32000−1−i31+i321+i321+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32000−1+i31−i321−i321−i321−i3200000
χ90222-122-122-12-1-1-1-10022-2-2-11111000-211-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i320001+i3−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i320001−i3−1+i32−1+i321−i321−i3200000
χ91222-122-122-12-1-1-1-100-2-222-1-1-1-1-1000-2111100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i320001+i3−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i320001−i3−1+i32−1+i32−1+i32−1+i3200000
χ92222-122-122-12-1-1-1-100-2-2-2-2-111110002-1-11100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000−1−i31+i321+i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000−1+i31−i321−i32−1+i32−1+i3200000
χ9322-222-2222-2-22-222000000-20000000000002-2000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i30000001+i3000000000000−1−i31+i3000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i30000001−i3000000000000−1+i31−i3000
χ9422-222-2222-2-22-222000000-2000000000000-22000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i30000001+i30000000000001+i3−1−i3000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i30000001−i30000000000001−i3−1+i3000
χ9522-222-22-2-2-222-2-2-2002i−2i00200000000002i−2i00000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3002ζ22−2ζ2200−1−i300000000002ζ22−2ζ2200000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3002ζ14−2ζ1400−1+i300000000002ζ14−2ζ1400000
χ9622-222-22-2-2-222-2-2-200−2i2i0020000000000−2i2i00000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i300−2ζ222ζ2200−1−i30000000000−2ζ222ζ2200000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i300−2ζ142ζ1400−1+i30000000000−2ζ142ζ1400000
χ9722-22-22200-20-220022002−2022−2−200-200000002−20−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i301+i3−1−i300−1−i3−1−i300−ζ7+ζ13ζ7−ζ130−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i30000000−ζ7+ζ13ζ7−ζ130−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i301−i3−1+i300−1+i3−1+i300ζ5−ζ23−ζ5+ζ230ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i30000000ζ5−ζ23−ζ5+ζ230
χ9822-22-22200-20-22002200−220−2−22200-20000000−220−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i301+i3−1−i300−1−i3−1−i300ζ7−ζ13−ζ7+ζ130ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i30000000ζ7−ζ13−ζ7+ζ130−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i301−i3−1+i300−1+i3−1+i300−ζ5+ζ23ζ5−ζ230−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i30000000−ζ5+ζ23ζ5−ζ230
χ9922-22-22200-20-2200-2-2002−2022−2−20020000000−220−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i301+i3−1−i3001+i31+i300−ζ7+ζ13ζ7−ζ130−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300−1−i30000000ζ7−ζ13−ζ7+ζ130−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i301−i3−1+i3001−i31−i300ζ5−ζ23−ζ5+ζ230ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300−1+i30000000−ζ5+ζ23ζ5−ζ230
χ10022-22-22200-20-2200-2-200−220−2−22200200000002−20−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3001+i301+i3−1−i3001+i31+i300ζ7−ζ13−ζ7+ζ130ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300−1−i30000000−ζ7+ζ13ζ7−ζ130−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3001−i301−i3−1+i3001−i31−i300−ζ5+ζ23ζ5−ζ230−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300−1+i30000000ζ5−ζ23−ζ5+ζ230
χ10122-2-12-2-1-2-212-1111002i−2i00-13−33−30000−i3i3−ii00000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i31+i3−1−i32−1−i31+i32−1−i32−1−i32−1−i32002ζ22−2ζ22001+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−3+i323−i32−ζ22ζ2200000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i31−i3−1+i32−1+i31−i32−1+i32−1+i32−1+i32002ζ14−2ζ14001−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200003+i32−3−i32−ζ14ζ1400000
χ10222-2-12-2-1-2-212-1111002i−2i00-1−33−330000i3−i3−ii00000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i31+i3−1−i32−1−i31+i32−1−i32−1−i32−1−i32002ζ22−2ζ22001+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200003−i32−3+i32−ζ22ζ2200000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i31−i3−1+i32−1+i31−i32−1+i32−1+i32−1+i32002ζ14−2ζ14001−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000−3−i323+i32−ζ14ζ1400000
χ10322-2-12-2-1-2-212-111100−2i2i00-13−33−30000i3−i3i−i00000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i31+i3−1−i32−1−i31+i32−1−i32−1−i32−1−i3200−2ζ222ζ22001+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200003−i32−3+i32ζ22−ζ2200000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i31−i3−1+i32−1+i31−i32−1+i32−1+i32−1+i3200−2ζ142ζ14001−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000−3−i323+i32ζ14−ζ1400000
χ10422-2-12-2-1-2-212-111100−2i2i00-1−33−330000−i3i3i−i00000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i31+i3−1−i32−1−i31+i32−1−i32−1−i32−1−i3200−2ζ222ζ22001+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000−3+i323−i32ζ22−ζ2200000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i31−i3−1+i32−1+i31−i32−1+i32−1+i32−1+i3200−2ζ142ζ14001−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200003+i32−3−i32ζ14−ζ1400000
χ1054444-4-440040-4-400000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i300−2−2i302+2i32+2i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i300−2+2i302−2i32−2i300000000000000000000000000
χ106444-244-2-4-4-2-4-2-222000000200000000000000000−2−2i3−2−2i3−2−2i31+i3−2−2i3−2−2i31+i32+2i32+2i31+i32+2i31+i31+i3−1−i3−1−i3000000−1−i300000000000000000−2+2i3−2+2i3−2+2i31−i3−2+2i3−2+2i31−i32−2i32−2i31−i32−2i31−i31−i3−1+i3−1+i3000000−1+i300000000000000000
χ107444-2-4-4-200-20220000000006−6−660000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i3001+i30−1−i3−1−i3000000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ230000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i3001−i30−1+i3−1+i3000000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ230000000000000
χ108444-2-4-4-200-2022000000000−666−60000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i3001+i30−1−i3−1−i30000000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ230000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i3001−i30−1+i3−1+i3000000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ230000000000000
χ10944-4-24-4-2442-4-22-2-2000000200000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3−2−2i3−2−2i3−1−i32+2i31+i3−1−i31+i31+i3000000−1−i300000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3−2+2i3−2+2i3−1+i32−2i31−i3−1+i31−i31−i3000000−1+i300000000000000000
χ11044-4-2-44-200202-200000022−220−2−2220000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i300−1−i30−1−i31+i3000000−2ζ7+2ζ132ζ7−2ζ130ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i300−1+i30−1+i31−i30000002ζ5−2ζ23−2ζ5+2ζ230−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000000000
χ11144-4-2-44-200202-2000000−2222022−2−20000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i300−1−i30−1−i31+i30000002ζ7−2ζ13−2ζ7+2ζ130−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i300−1+i30−1+i31−i3000000−2ζ5+2ζ232ζ5−2ζ230ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000000000
χ1124-40400-422−22000022−2222−220000000002-200000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7+2ζ132ζ7−2ζ130000−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000−1−i31+i300000000000−2+2i32−2i30−2+2i3002−2i32ζ5−2ζ23−2ζ5+2ζ2300002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000−1+i31−i300000000000
χ1134-40400-422−22000022−22−2222000000000-2200000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7+2ζ132ζ7−2ζ130000−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ130000000001+i3−1−i300000000000−2+2i32−2i30−2+2i3002−2i32ζ5−2ζ23−2ζ5+2ζ2300002ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ230000000001−i3−1+i300000000000
χ1144-40400-4−22220000−222222−22000000000-2200000000000−2−2i32+2i30−2−2i3002+2i32ζ7−2ζ13−2ζ7+2ζ1300002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ130000000001+i3−1−i300000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5+2ζ232ζ5−2ζ230000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ230000000001−i3−1+i300000000000
χ1154-40400-4−22220000−2222−22220000000002-200000000000−2−2i32+2i30−2−2i3002+2i32ζ7−2ζ13−2ζ7+2ζ1300002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000−1−i31+i300000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5+2ζ232ζ5−2ζ230000−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000−1+i31−i300000000000
χ1168-80-400442−420000−2222000000000000000000000000−4−4i34+4i302+2i300−2−2i3−4ζ7+4ζ134ζ7−4ζ1300002ζ7−2ζ13−2ζ7+2ζ13000000000000000000000000−4+4i34−4i302−2i300−2+2i34ζ5−4ζ23−4ζ5+4ζ230000−2ζ5+2ζ232ζ5−2ζ23000000000000000000000000
χ1178-80-4004−4242000022−22000000000000000000000000−4−4i34+4i302+2i300−2−2i34ζ7−4ζ13−4ζ7+4ζ130000−2ζ7+2ζ132ζ7−2ζ13000000000000000000000000−4+4i34−4i302−2i300−2+2i3−4ζ5+4ζ234ζ5−4ζ2300002ζ5−2ζ23−2ζ5+2ζ23000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.