Finite Group Databasebeta

← Group #13167627

Character table — Group #13167627

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111148888888899993636363636363636363636363611114888888889999363636363636363636363636361111488888888999936363636363636363636363636
order1222436661212121222224444444444444366612366612121212666612121212121212121212121212366612366612121212666612121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111
χ51111-11111-1-1-1-11111-111-1-111-1-111-1-11111-11111-1-1-1-11111-111-1-111-1-111-1-11111-11111-1-1-1-11111-111-1-111-1-111-1-1
χ61111-11111-1-1-1-11111-111-1-1-1-111-1-1111111-11111-1-1-1-11111-111-1-1-1-111-1-1111111-11111-1-1-1-11111-111-1-1-1-111-1-111
χ71111-11111-1-1-1-11111-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-11111-1-1-1-111
χ81111-11111-1-1-1-11111-1-1-111-1-11111-1-11111-11111-1-1-1-11111-1-1-111-1-11111-1-11111-11111-1-1-1-11111-1-1-111-1-11111-1-1
χ92222222222222-2-2-2-2-20000000000002222222222222-2-2-2-2-20000000000002222222222222-2-2-2-2-2000000000000
χ102222-22222-2-2-2-2-2-2-2-220000000000002222-22222-2-2-2-2-2-2-2-220000000000002222-22222-2-2-2-2-2-2-2-22000000000000
χ1122-2-2022-2-2000022-2-202-2000000000022-2-2022-2-2000022-2-202-2000000000022-2-2022-2-2000022-2-202-20000000000
χ1222-2-2022-2-2000022-2-20-22000000000022-2-2022-2-2000022-2-20-22000000000022-2-2022-2-2000022-2-20-220000000000
χ1322-2-2022-2-20000-2-2220002-20000000022-2-2022-2-20000-2-2220002-20000000022-2-2022-2-20000-2-2220002-200000000
χ1422-2-2022-2-20000-2-222000-220000000022-2-2022-2-20000-2-222000-220000000022-2-2022-2-20000-2-222000-2200000000
χ152-22-202-22-200002-2-22000002i−2i0000002-22-202-22-200002-2-22000002i−2i0000002-22-202-22-200002-2-22000002i−2i000000
χ162-22-202-22-200002-2-2200000−2i2i0000002-22-202-22-200002-2-2200000−2i2i0000002-22-202-22-200002-2-2200000−2i2i000000
χ172-22-202-22-20000-222-200000002i−2i00002-22-202-22-20000-222-200000002i−2i00002-22-202-22-20000-222-200000002i−2i0000
χ182-22-202-22-20000-222-20000000−2i2i00002-22-202-22-20000-222-20000000−2i2i00002-22-202-22-20000-222-20000000−2i2i0000
χ192-2-2202-2-2200002-22-20000000002i−2i002-2-2202-2-2200002-22-20000000002i−2i002-2-2202-2-2200002-22-20000000002i−2i00
χ202-2-2202-2-2200002-22-2000000000−2i2i002-2-2202-2-2200002-22-2000000000−2i2i002-2-2202-2-2200002-22-2000000000−2i2i00
χ212-2-2202-2-220000-22-22000000000002-22-2-2202-2-220000-22-22000000000002-22-2-2202-2-220000-22-22000000000002-2
χ222-2-2202-2-220000-22-2200000000000-222-2-2202-2-220000-22-2200000000000-222-2-2202-2-220000-22-2200000000000-22
χ2388888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-100000000000000000
χ248888-8-1-1-1-11111000000000000000008888-8-1-1-1-11111000000000000000008888-8-1-1-1-1111100000000000000000
χ2588-8-80-1-1113i3i−3i−3i0000000000000000088-8-80-1-1113i3i−3i−3i0000000000000000088-8-80-1-1113i3i−3i−3i00000000000000000
χ2688-8-80-1-111−3i−3i3i3i0000000000000000088-8-80-1-111−3i−3i3i3i0000000000000000088-8-80-1-111−3i−3i3i3i00000000000000000
χ278-88-80-11-113i−3i3i−3i000000000000000008-88-80-11-113i−3i3i−3i000000000000000008-88-80-11-113i−3i3i−3i00000000000000000
χ288-88-80-11-11−3i3i−3i3i000000000000000008-88-80-11-11−3i3i−3i3i000000000000000008-88-80-11-11−3i3i−3i3i00000000000000000
χ298-8-880-111-13-3-33000000000000000008-8-880-111-13-3-33000000000000000008-8-880-111-13-3-3300000000000000000
χ308-8-880-111-1-333-3000000000000000008-8-880-111-1-333-3000000000000000008-8-880-111-1-333-300000000000000000
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
χ321111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32
χ33111111111111111111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ34111111111111111111-1-1-1-1-1-1-1-11111−1+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+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−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32
χ351111-11111-1-1-1-11111-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ361111-11111-1-1-1-11111-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ371111-11111-1-1-1-11111-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ381111-11111-1-1-1-11111-1-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i32
χ392222222222222-2-2-2-2-2000000000000−1+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−i31−i31−i31−i3000000000000−1−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+i31+i31+i31+i3000000000000
χ402222-22222-2-2-2-2-2-2-2-22000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3000000000000
χ4122-2-2022-2-2000022-2-202-20000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i30−1+i31−i30000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i30−1−i31+i30000000000
χ4222-2-2022-2-2000022-2-20-220000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i301−i3−1+i30000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i301+i3−1−i30000000000
χ4322-2-2022-2-20000-2-2220002-200000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i31−i3−1+i3−1+i3000−1+i31−i300000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i31+i3−1−i3−1−i3000−1−i31+i300000000
χ4422-2-2022-2-20000-2-222000-2200000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i31−i3−1+i3−1+i30001−i3−1+i300000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i31+i3−1−i3−1−i30001+i3−1−i300000000
χ452-22-202-22-200002-2-22000002i−2i000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000002ζ7−2ζ7000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000002ζ11−2ζ11000000
χ462-22-202-22-200002-2-2200000−2i2i000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i300000−2ζ72ζ7000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i300000−2ζ112ζ11000000
χ472-22-202-22-20000-222-200000002i−2i0000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300000002ζ7−2ζ70000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300000002ζ11−2ζ110000
χ482-22-202-22-20000-222-20000000−2i2i0000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000−2ζ72ζ70000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000−2ζ112ζ110000
χ492-2-2202-2-2200002-22-20000000002i−2i00−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i30000000002ζ7−2ζ700−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i30000000002ζ11−2ζ1100
χ502-2-2202-2-2200002-22-2000000000−2i2i00−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000−2ζ72ζ700−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000−2ζ112ζ1100
χ512-2-2202-2-220000-22-22000000000002-2−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300000000000−1+i31−i3−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300000000000−1−i31+i3
χ522-2-2202-2-220000-22-2200000000000-22−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000001−i3−1+i3−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000001+i3−1−i3
χ5388888-1-1-1-1-1-1-1-100000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000
χ548888-8-1-1-1-1111100000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000
χ5588-8-80-1-1113i3i−3i−3i00000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i323ζ73ζ7−3ζ7−3ζ700000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i323ζ113ζ11−3ζ11−3ζ1100000000000000000
χ5688-8-80-1-111−3i−3i3i3i00000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i32−3ζ7−3ζ73ζ73ζ700000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i32−3ζ11−3ζ113ζ113ζ1100000000000000000
χ578-88-80-11-113i−3i3i−3i00000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i323ζ7−3ζ73ζ7−3ζ700000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i323ζ11−3ζ113ζ11−3ζ1100000000000000000
χ588-88-80-11-11−3i3i−3i3i00000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i32−3ζ73ζ7−3ζ73ζ700000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i32−3ζ113ζ11−3ζ113ζ1100000000000000000
χ598-8-880-111-13-3-3300000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i32−3+3i323−3i323−3i32−3+3i3200000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i32−3−3i323+3i323+3i32−3−3i3200000000000000000
χ608-8-880-111-1-333-300000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i323−3i32−3+3i32−3+3i323−3i3200000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i323+3i32−3−3i32−3−3i323+3i3200000000000000000
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
χ621111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32
χ63111111111111111111-1-1-1-11111-1-1-1-1−1−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−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ64111111111111111111-1-1-1-1-1-1-1-11111−1−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−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+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32
χ651111-11111-1-1-1-11111-111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ661111-11111-1-1-1-11111-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ671111-11111-1-1-1-11111-1-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ681111-11111-1-1-1-11111-1-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32
χ692222222222222-2-2-2-2-2000000000000−1−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+i31+i31+i31+i3000000000000−1+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−i31−i31−i31−i3000000000000
χ702222-22222-2-2-2-2-2-2-2-22000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3000000000000
χ7122-2-2022-2-2000022-2-202-20000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i30−1−i31+i30000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i30−1+i31−i30000000000
χ7222-2-2022-2-2000022-2-20-220000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i301+i3−1−i30000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i301−i3−1+i30000000000
χ7322-2-2022-2-20000-2-2220002-200000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i31+i3−1−i3−1−i3000−1−i31+i300000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i31−i3−1+i3−1+i3000−1+i31−i300000000
χ7422-2-2022-2-20000-2-222000-2200000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i31+i3−1−i3−1−i30001+i3−1−i300000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i31−i3−1+i3−1+i30001−i3−1+i300000000
χ752-22-202-22-200002-2-22000002i−2i000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000002ζ11−2ζ11000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000002ζ7−2ζ7000000
χ762-22-202-22-200002-2-2200000−2i2i000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i300000−2ζ112ζ11000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i300000−2ζ72ζ7000000
χ772-22-202-22-20000-222-200000002i−2i0000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300000002ζ11−2ζ110000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300000002ζ7−2ζ70000
χ782-22-202-22-20000-222-20000000−2i2i0000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000−2ζ112ζ110000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000−2ζ72ζ70000
χ792-2-2202-2-2200002-22-20000000002i−2i00−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i30000000002ζ11−2ζ1100−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i30000000002ζ7−2ζ700
χ802-2-2202-2-2200002-22-2000000000−2i2i00−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000−2ζ112ζ1100−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000−2ζ72ζ700
χ812-2-2202-2-220000-22-22000000000002-2−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300000000000−1−i31+i3−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300000000000−1+i31−i3
χ822-2-2202-2-220000-22-2200000000000-22−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000001+i3−1−i3−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000001−i3−1+i3
χ8388888-1-1-1-1-1-1-1-100000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000
χ848888-8-1-1-1-1111100000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ8588-8-80-1-1113i3i−3i−3i00000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i323ζ113ζ11−3ζ11−3ζ1100000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i323ζ73ζ7−3ζ7−3ζ700000000000000000
χ8688-8-80-1-111−3i−3i3i3i00000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i32−3ζ11−3ζ113ζ113ζ1100000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i32−3ζ7−3ζ73ζ73ζ700000000000000000
χ878-88-80-11-113i−3i3i−3i00000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i323ζ11−3ζ113ζ11−3ζ1100000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i323ζ7−3ζ73ζ7−3ζ700000000000000000
χ888-88-80-11-11−3i3i−3i3i00000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i32−3ζ113ζ11−3ζ113ζ1100000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i32−3ζ73ζ7−3ζ73ζ700000000000000000
χ898-8-880-111-13-3-3300000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i32−3−3i323+3i323+3i32−3−3i3200000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i32−3+3i323−3i323−3i32−3+3i3200000000000000000
χ908-8-880-111-1-333-300000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i323+3i32−3−3i32−3−3i323+3i3200000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i323−3i32−3+3i32−3+3i323−3i3200000000000000000

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