Finite Group Databasebeta

← Group #11920386

Character table — Group #11920386

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222334444666888888121212121616161616161616163636363672721122233444466688888812121212161616161616161616363636367272
order1234622266124669991818182661218181818181836363688884422646222661246618181818181826612181818181818363636888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ31111111-1-1-11111111111-1-1-11-1-1-1-1-1-11111111-1-11111111-1-1-11111111111-1-1-11-1-1-1-1-1-11111111-1-1
χ41111111-1-1-11111111111-1-1-11-1-1-1-1-1-1111-1-1-1-1111111111-1-1-11111111111-1-1-11-1-1-1-1-1-1111-1-1-1-111
χ522222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000
χ62222222-2-2-22222-1-1-1-1-1-1-2-2-22111111-1-1-10000002222222-2-2-22222-1-1-1-1-1-1-2-2-22111111-1-1-1000000
χ7222-2222000-2-222222222000-2000000-2-2-2000000222-2222000-2-222222222000-2000000-2-2-2000000
χ8222-2222000-2-222-1-1-1-1-1-1000-2−i3−i3−i3i3i3i3111000000222-2222000-2-222-1-1-1-1-1-1000-2−i3−i3−i3i3i3i3111000000
χ9222-2222000-2-222-1-1-1-1-1-1000-2i3i3i3−i3−i3−i3111000000222-2222000-2-222-1-1-1-1-1-1000-2i3i3i3−i3−i3−i3111000000
χ1022-12-1222-1-1-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000022-12-1222-1-1-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ1122-12-1222-1-1-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000022-12-1222-1-1-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ1222-12-1222-1-1-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000022-12-1222-1-1-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ1322-12-122-211-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000022-12-122-211-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ1422-12-122-211-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-211-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000022-12-122-211-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-211-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ1522-12-122-211-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-211-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000022-12-122-211-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-211-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ1622-1-2-1220−i3i31-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680−i3i31−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000022-1-2-1220−i3i31-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680−i3i31−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ1722-1-2-1220−i3i31-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680−i3i31ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000022-1-2-1220−i3i31-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680−i3i31ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ1822-1-2-1220−i3i31-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520−i3i31−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000022-1-2-1220−i3i31-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520−i3i31−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ1922-1-2-1220i3−i31-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680i3−i31ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000022-1-2-1220i3−i31-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680i3−i31ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ2022-1-2-1220i3−i31-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680i3−i31−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000022-1-2-1220i3−i31-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680i3−i31−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ2122-1-2-1220i3−i31-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520i3−i31ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000022-1-2-1220i3−i31-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520i3−i31ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ222-220-22-2000002-2222-2-2-20000000000000−i2i2−i2i2002-220-22-2000002-2222-2-2-20000000000000−i2i2−i2i200
χ232-220-22-2000002-2222-2-2-20000000000000i2−i2i2−i2002-220-22-2000002-2222-2-2-20000000000000i2−i2i2−i200
χ2433333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-133333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-1
χ2533333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-1133333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-11
χ2633333-1-1-3-3-33-1-1-1000000111-100000000011-1-1-1133333-1-1-3-3-33-1-1-1000000111-100000000011-1-1-11
χ2733333-1-1-3-3-33-1-1-1000000111-1000000000-1-1111-133333-1-1-3-3-33-1-1-1000000111-1000000000-1-1111-1
χ284-440-44-4000004-4-2-2-222200000000000000000004-440-44-4000004-4-2-2-22220000000000000000000
χ294-4-2024-400000-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000004-4-2024-400000-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000000000000000000
χ304-4-2024-400000-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000004-4-2024-400000-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000000000000000000
χ314-4-2024-400000-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000004-4-2024-400000-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000000000000000000
χ32666-66-2-2000-62-2-20000000002000000000000000666-66-2-2000-62-2-20000000002000000000000000
χ3366-36-3-2-26-3-3-3-211000000-211100000000000000066-36-3-2-26-3-3-3-211000000-2111000000000000000
χ3466-36-3-2-2-633-3-2110000002-1-1100000000000000066-36-3-2-2-633-3-2110000002-1-11000000000000000
χ3566-3-6-3-2-20−3i33i332110000000i3−i3-100000000000000066-3-6-3-2-20−3i33i332110000000i3−i3-1000000000000000
χ3666-3-6-3-2-203i3−3i332110000000−i3i3-100000000000000066-3-6-3-2-203i3−3i332110000000−i3i3-1000000000000000
χ376-660-6-2200000-220000000000000000000−i2i2i2−i2006-660-6-2200000-220000000000000000000−i2i2i2−i200
χ386-660-6-2200000-220000000000000000000i2−i2−i2i2006-660-6-2200000-220000000000000000000i2−i2−i2i200
χ3912-12-606-44000002-2000000000000000000000000012-12-606-44000002-20000000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ421111111-1-1-11111111111-1-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-111
χ431111111-1-1-11111111111-1-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-11111-1-1
χ4422222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111111000000
χ452222222-2-2-22222-1-1-1-1-1-1-2-2-22111111-1-1-1000000-2-2-2-2-2-2-2222-2-2-2-2111111222-2-1-1-1-1-1-1111000000
χ46222-2222000-2-222222222000-2000000-2-2-2000000-2-2-22-2-2-200022-2-2-2-2-2-2-2-20002000000222000000
χ47222-2222000-2-222-1-1-1-1-1-1000-2−i3−i3−i3i3i3i3111000000-2-2-22-2-2-200022-2-21111110002i3i3i3−i3−i3−i3-1-1-1000000
χ48222-2222000-2-222-1-1-1-1-1-1000-2i3i3i3−i3−i3−i3111000000-2-2-22-2-2-200022-2-21111110002−i3−i3−i3i3i3i3-1-1-1000000
χ4922-12-1222-1-1-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000-2-21-21-2-2-2111-211−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ5022-12-1222-1-1-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000-2-21-21-2-2-2111-211−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ5122-12-1222-1-1-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000-2-21-21-2-2-2111-211ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ5222-12-122-211-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000-2-21-21-2-22-1-11-211−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ5322-12-122-211-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-211-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000-2-21-21-2-22-1-11-211−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682-1-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ5422-12-122-211-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-211-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000-2-21-21-2-22-1-11-211ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522-1-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ5522-1-2-1220−i3i31-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680−i3i31−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000-2-2121-2-20i3−i3-1211−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680i3−i3-1ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
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χ5922-1-2-1220i3−i31-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680i3−i31−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000-2-2121-2-20−i3i3-1211−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680−i3i3-1ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ6022-1-2-1220i3−i31-2-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520i3−i31ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000-2-2121-2-20−i3i3-1211ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520−i3i3-1−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ612-220-22-2000002-2222-2-2-20000000000000−i2i2−i2i200-22-202-2200000-22-2-2-22220000000000000i2−i2i2−i200
χ622-220-22-2000002-2222-2-2-20000000000000i2−i2i2−i200-22-202-2200000-22-2-2-22220000000000000−i2i2−i2i200
χ6333333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-1-3-3-3-3-311-3-3-3-31110000001111000000000-1-111-11
χ6433333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-11-3-3-3-3-311-3-3-3-3111000000111100000000011-1-11-1
χ6533333-1-1-3-3-33-1-1-1000000111-100000000011-1-1-11-3-3-3-3-311333-3111000000-1-1-11000000000-1-1111-1
χ6633333-1-1-3-3-33-1-1-1000000111-1000000000-1-1111-1-3-3-3-3-311333-3111000000-1-1-1100000000011-1-1-11
χ674-440-44-4000004-4-2-2-22220000000000000000000-44-404-4400000-44222-2-2-20000000000000000000
χ684-4-2024-400000-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000000000000000000-4420-2-44000002-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000
χ694-4-2024-400000-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000000000000000000-4420-2-44000002-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000
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χ71666-66-2-2000-62-2-20000000002000000000000000-6-6-66-6220006-222000000000-2000000000000000
χ7266-36-3-2-26-3-3-3-211000000-2111000000000000000-6-63-6322-63332-1-10000002-1-1-1000000000000000
χ7366-36-3-2-2-633-3-2110000002-1-11000000000000000-6-63-63226-3-332-1-1000000-211-1000000000000000
χ7466-3-6-3-2-20−3i33i332110000000i3−i3-1000000000000000-6-63632203i3−3i3-3-2-1-10000000−i3i31000000000000000
χ7566-3-6-3-2-203i3−3i332110000000−i3i3-1000000000000000-6-6363220−3i33i3-3-2-1-10000000i3−i31000000000000000
χ766-660-6-2200000-220000000000000000000−i2i2i2−i200-66-6062-2000002-20000000000000000000i2−i2−i2i200
χ776-660-6-2200000-220000000000000000000i2−i2−i2i200-66-6062-2000002-20000000000000000000−i2i2i2−i200
χ7812-12-606-44000002-20000000000000000000000000-121260-64-400000-220000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.