Finite Group Databasebeta

← Group #11721185

Character table — Group #11721185

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222222244444444444444446688888888888888889912121212121212121218181824242424363636365454108
order1233466999181818236669991212181818363636886661218181818181818181836363644424247272727272722121212363636461212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1
χ411111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-111111-111111111111-1-1-1-1-11-1-111-1
χ61111111111111-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-1-1-11-111-1-11
χ71111111111111-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-1-1-1-11
χ81111111111111-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-111111-11111-1
χ92222222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-10002-1-1-10000000
χ102222222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2111111000-21110000000
χ112222222-1-1-1-1-1-1-22-2-22-1-1-122-1-1-1-1-1-122-2-2-22111111111-1-1-100-222-1-1-1-1-1-1000-21110000000
χ122222222-1-1-1-1-1-1-22-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2-22111111111-1-1-1002-2-21111110002-1-1-10000000
χ132222-22222222202002222-2-2222-2-2-200000-2000000000-2-2-222000000000-22200000-200000
χ142222-22222222202002222-2-2222-2-2-200000-2000000000-2-2-2-2-20000000002-2-200000200000
χ15222-122-12222222-1-1-1-1-1-1-1-12-1-1-1222002-1-1-1222-1-1-1-1-1-1-1-1-1220000000002-1-100002-1-1-1000
χ16222-122-12222222-1-1-1-1-1-1-1-12-1-1-1222002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2000000000-2110000-2111000
χ17222-122-1222222-2-111-1-1-1-1-12-1-1-122200-211-1-2-2-2111111-1-1-1220000000002-1-10000-2-111000
χ18222-122-1222222-2-111-1-1-1-1-12-1-1-122200-211-1-2-2-2111111-1-1-1-2-2000000000-211000021-1-1000
χ19222-1-22-12222220-1−i3i3-1-1-1-11-2-1-1-1-2-2-2000−i3i31000−i3−i3−i3i3i3i311122000000000-2-1-1000001−i3i3000
χ20222-1-22-12222220-1−i3i3-1-1-1-11-2-1-1-1-2-2-2000−i3i31000−i3−i3−i3i3i3i3111-2-200000000021100000-1i3−i3000
χ21222-1-22-12222220-1i3−i3-1-1-1-11-2-1-1-1-2-2-2000i3−i31000i3i3i3−i3−i3−i311122000000000-2-1-1000001i3−i3000
χ22222-1-22-12222220-1i3−i3-1-1-1-11-2-1-1-1-2-2-2000i3−i31000i3i3i3−i3−i3−i3111-2-200000000021100000-1−i3i3000
χ2322-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-122-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68002-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000
χ2422-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-122-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000
χ2522-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-2-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822111-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800-2-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000
χ2622-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-2-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2111-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000
χ2722-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-122-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68002-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000
χ2822-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-122-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000
χ2922-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-2-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822111-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800-2-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000
χ3022-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-2-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2111-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000
χ3122-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-122-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52002-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000
χ3222-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-122-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000
χ3322-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-1-2-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222111-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200-2-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000
χ3422-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-1-2-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2111-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000
χ352-2220-2-2222-2-2-20200-222200-2-2-2000−i2i200000000000000002i−2i0−i2i2−i2i2−i2i2−i2i202i−2i000000002−20
χ362-2220-2-2222-2-2-20200-222200-2-2-2000−i2i20000000000000000−2i2i0−i2i2−i2i2−i2i2−i2i20−2i2i00000000−220
χ372-2220-2-2222-2-2-20200-222200-2-2-2000i2−i200000000000000002i−2i0i2−i2i2−i2i2−i2i2−i202i−2i00000000−220
χ382-2220-2-2222-2-2-20200-222200-2-2-2000i2−i20000000000000000−2i2i0i2−i2i2−i2i2−i2i2−i20−2i2i000000002−20
χ394444-444-2-2-2-2-2-204004-2-2-2-4-4-2-2-222200000-40000000002220000000000000000000000000
χ40444-244-2-2-2-2-2-2-24-2-2-2-2111-24111-2-2-2004-2-2-2-2-2-21111111110000000000000000000000000
χ41444-244-2-2-2-2-2-2-2-4-222-2111-24111-2-2-200-422-2222-1-1-1-1-1-11110000000000000000000000000
χ42444-2-44-2-2-2-2-2-2-20-2−2i32i3-21112-4111222000−2i32i32000i3i3i3−i3−i3−i3-1-1-10000000000000000000000000
χ43444-2-44-2-2-2-2-2-2-20-22i3−2i3-21112-41112220002i3−2i32000−i3−i3−i3i3i3i3-1-1-10000000000000000000000000
χ4444-24-4-242ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680-200-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-422ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000002000000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000000000000000000000000
χ4544-24-4-242ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680-200-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-422ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000002000000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000000000000000000000000
χ4644-24-4-24−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520-200-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-42−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000020000000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000000000000000000000000
χ4744-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6841-2-21−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800-21112ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000000000000
χ4844-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-41221−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68002-1-11−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000000000000
χ4944-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6841-2-21−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800-21112ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000000000000000000000
χ5044-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-41221−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68002-1-11−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000000000000000000000
χ5144-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5241-2-21ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200-2111−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000000000000000000000
χ5244-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-41221ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002-1-112ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000000000000000000000
χ5344-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6801−2i32i31−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000i3−i3-10002ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000000
χ5444-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68012i3−2i31−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000−i3i3-1000−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000000
χ5544-2-2-4-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6801−2i32i31−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000i3−i3-1000−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ682ζ4+ζ44+ζ52−ζ68ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000000000000000000000
χ5644-2-2-4-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68012i3−2i31−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000−i3i3-1000ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ68−2ζ4−ζ44−ζ52+ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ682ζ4+ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000000000000000000000
χ5744-2-2-4-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5201−2i32i31ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000i3−i3-1000−ζ4−2ζ44−2ζ52−ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68ζ4+2ζ44+2ζ52+ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000000000000000000000
χ5844-2-2-4-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52012i3−2i31ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000−i3i3-1000ζ4+2ζ44+2ζ52+ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68−ζ4−2ζ44−2ζ52−ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000000000000000000000
χ594-4440-4-4-2-2-22220400-4-2-2-200222000−2i22i20000000000000000000−2i22i2i2−i2i2−i2i2−i200000000000000
χ604-4440-4-4-2-2-22220400-4-2-2-2002220002i2−2i200000000000000000002i2−2i2−i2i2−i2i2−i2i200000000000000
χ614-44-20-42444-4-4-40-2002-2-2-2002220000000000000000000004i−4i0000000000−2i2i00000000000
χ624-44-20-42444-4-4-40-2002-2-2-200222000000000000000000000−4i4i00000000002i−2i00000000000
χ634-4-2402-42ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680-20022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000−2i22i20000000000000000000i2−i2−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ3100000000000000
χ644-4-2402-42ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680-20022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680002i2−2i20000000000000000000−i2i2ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ3100000000000000
χ654-4-2402-42ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680-20022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000−2i22i20000000000000000000i2−i2−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ7100000000000000
χ664-4-2402-42ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680-20022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680002i2−2i20000000000000000000−i2i2ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ7100000000000000
χ674-4-2402-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520-2002−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000−2i22i20000000000000000000i2−i2ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ7100000000000000
χ684-4-2402-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520-2002−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520002i2−2i20000000000000000000−i2i2−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ7100000000000000
χ698-88-40-84-4-4-44440-400422200-2-2-20000000000000000000000000000000000000000000000
χ708-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ680200-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000000000000000000000000000
χ718-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ680200-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000000000000000000000000000
χ728-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ520200-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000000000000000000000000000

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