Finite Group Databasebeta

← Group #11721224

Character table — Group #11721224

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222222244444444444444668888888888888888812121212121212121218182424242427273636365472108
order123346699918181834699912121818183636368812121212123636363636363636363636364242472727272727288123636364422424262
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1
χ4111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11
χ511111111111111-111111111111111-1-11-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-111-1111-1-1
χ611111111111111-111111111111111-1-11-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111
χ711111111111111-1111111111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-111-1-11
χ811111111111111-1111111111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-111-1
χ92222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-100000000
χ102222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100-211100000000
χ112222222-1-1-1-1-1-12-22-1-1-122-1-1-1-1-1-122-2-22-2-2111-1-1-1111111-222-1-1-1-1-1-100-211100000000
χ122222222-1-1-1-1-1-12-22-1-1-122-1-1-1-1-1-1-2-2-2-22-2-2111-1-1-11111112-2-2111111002-1-1-100000000
χ132222-222222222202222-2-2222-2-2-20000-200000-2-2-200000000000000000000022000-200
χ142222-222222222202222-2-2222-2-2-20000-200000-2-2-2000000000000000000000-2-2000200
χ15222-12-12222222-12-1-1-1-12-1-1-1-122200-12-1-1-1222-1-1-1-1-1-1-1-1-1000000000220000002-1-10-10
χ16222-12-12222222-12-1-1-1-12-1-1-1-122200-12-1-1-1222-1-1-1-1-1-1-1-1-1000000000-2-2000000-211010
χ17222-12-12222222-1-2-1-1-1-12-1-1-1-1222001-2-111-2-2-2-1-1-111111100000000022000000-2-1-1010
χ18222-12-12222222-1-2-1-1-1-12-1-1-1-1222001-2-111-2-2-2-1-1-1111111000000000-2-20000002110-10
χ1922-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000
χ2022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-22-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000
χ2122-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-21-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-2-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000
χ2222-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-21-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000
χ2322-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000
χ2422-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-22-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000
χ2522-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-21-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000
χ2622-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-21-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000
χ2722-1222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000
χ2822-1222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-22-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000
χ2922-1222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-21-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-2-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000
χ3022-1222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-21-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000
χ312-2220-2-2222-2-2-220-222200-2-2-20002−20000000000000000002−22−22−22−2−i2i200002i−2i0−i2i2000
χ322-2220-2-2222-2-2-220-222200-2-2-20002−20000000000000000002−22−22−22−2i2−i20000−2i2i0i2−i2000
χ332-2220-2-2222-2-2-220-222200-2-2-2000−22000000000000000000−22−22−22−22−i2i20000−2i2i0−i2i2000
χ342-2220-2-2222-2-2-220-222200-2-2-2000−22000000000000000000−22−22−22−22i2−i200002i−2i0i2−i2000
χ354444-444-2-2-2-2-2-2404-2-2-2-4-4-2-2-22220000-40000022200000000000000000000000000000
χ36444-24-24-2-2-2-2-2-2-24-21114-2111-2-2-200-24-2-2-2-2-2-211111111100000000000000000000000
χ37444-24-24-2-2-2-2-2-2-2-4-21114-2111-2-2-2002-4-222222111-1-1-1-1-1-100000000000000000000000
χ38444-2-4-24444444-20-2-2-2-2-42-2-2-2-4-4-4000020000022200000000000000000000000000000
χ39444-2-4-24-2-2-2-2-2-2-20-2111-421112220000200000-1-1-13-33-33-300000000000000000000000
χ40444-2-4-24-2-2-2-2-2-2-20-2111-421112220000200000-1-1-1-33-33-3300000000000000000000000
χ4144-24-44-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-20-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682-42ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000200000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000000000000000
χ4244-24-44-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-20-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682-42ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000200000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000
χ4344-24-44-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-20-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200002000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000000000000000
χ4444-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68141−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800-2-21112ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000000
χ4544-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ681-41−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800221-1-1−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000000000000000000
χ4644-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68141−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800-2-21112ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000000000000000000000
χ4744-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ681-41−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800221-1-1−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000000000000000000
χ4844-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52141ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200-2-2111−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200000000000000000000000
χ4944-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ521-41ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200221-1-12ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000000000000000000
χ5044-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68101−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000-13-3000ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ6800000000000000000000000
χ5144-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68101−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000-1-33000ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ6800000000000000000000000
χ5244-2-2-4-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68101−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000-13-3000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ6800000000000000000000000
χ5344-2-2-4-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68101−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6822−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000-1-33000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ6800000000000000000000000
χ5444-2-2-4-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52101ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000-13-3000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ6800000000000000000000000
χ5544-2-2-4-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52101ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000-1-33000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ6800000000000000000000000
χ564-4440-4-4-2-2-222240-4-2-2-20022200022−2200000000000000000022−22−22−22−2200000000000000
χ574-4440-4-4-2-2-222240-4-2-2-200222000−2222000000000000000000−22222−22−22−200000000000000
χ584-44-202-4444-4-4-4-202-2-2-2002220000000000000000000000000000000−2i22i20000000i2−i2000
χ594-44-202-4444-4-4-4-202-2-2-20022200000000000000000000000000000002i2−2i20000000−i2i2000
χ604-4-240-422ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-2022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800022−22000000000000000000−22ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ3100000000000000
χ614-4-240-422ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-2022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000−22220000000000000000002−2−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ3100000000000000
χ624-4-240-422ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-2022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800022−22000000000000000000−22−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ7100000000000000
χ634-4-240-422ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-2022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000−22220000000000000000002−2ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ7100000000000000
χ644-4-240-42−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-202−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200022−22000000000000000000−22−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ7100000000000000
χ654-4-240-42−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-202−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000−22220000000000000000002−2ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ7100000000000000
χ668-88-404-8-4-4-4444-40422200-2-2-2000000000000000000000000000000000000000000000
χ678-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ6820-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68000000000000000000000000000000000000000000000
χ688-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ6820-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68000000000000000000000000000000000000000000000
χ698-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ5220-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000000000000000000000000000000000000000000000

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