Finite Group Databasebeta

← Group #11920007

Character table — Group #11920007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order122234466622224412121212121244666699918181818181818181844121212121212363636363636363636363636363636363636888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-1-1111-1-11-11-1-11i−i1-1ii−i−i1-111-1-1111-1-1-1111-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−iii−i−iii−i−i1-11-1
χ61-1-1111-1-11-11-1-11i−i1-1ii−i−i1-111-1-1111-1-1-1111-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i−i−iii−i−iii-11-11
χ71-1-1111-1-11-11-1-11−ii1-1−i−iii1-111-1-1111-1-1-1111-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiiiii−i−iii−i−i-11-11
χ81-1-1111-1-11-11-1-11−ii1-1−i−iii1-111-1-1111-1-1-1111-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−iii−i−iii1-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1122222-2-2222222200-2-20000-2-2222222222222222200-2-20000-2-2-2-2-2-2000000000000000000000000
χ1222222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000000000000
χ1322222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ162222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000
χ172222-122-1-1-12222-2-2-1-1111122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-1-11111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ182222-122-1-1-12222-2-2-1-1111122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-1-11111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ192222-122-1-1-12222-2-2-1-1111122-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-1-11111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000
χ202222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680011−i3i3−i3i3−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68000000000000
χ212222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680011−i3i3−i3i3−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68000000000000
χ222222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520011−i3i3−i3i3ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52000000000000
χ232222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680011i3−i3i3−i3−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52ζ4−ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52−ζ4+ζ68000000000000
χ242222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680011i3−i3i3−i3−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4+ζ68−ζ44−ζ52−ζ68000000000000
χ252222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520011i3−i3i3−i3ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52ζ4−ζ68ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ4+ζ68−ζ44−ζ52−ζ68ζ4+ζ44+ζ52000000000000
χ2622-2-22002-2-222-2-200000000002-22-2222222-2-2-2-2-2-2000000000000000000000000002−22−22−22−20000
χ2722-2-22002-2-222-2-200000000002-22-2222222-2-2-2-2-2-200000000000000000000000000−22−22−22−220000
χ282-22-2200-2-222-22-200000000002-2-22222-2-2-2-2-2-222200000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ292-22-2200-2-222-22-200000000002-2-22222-2-2-2-2-2-222200000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ302-2-2222-2-22-22-2-222i−2i2-22i2i−2i−2i2-222-2-2-1-1-1111-1-1-11112i−2i2-22i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii000000000000
χ312-2-2222-2-22-22-2-22−2i2i2-2−2i−2i2i2i2-222-2-2-1-1-1111-1-1-1111−2i2i2-2−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i000000000000
χ322-2-222-22-22-22-2-2200-220000-2222-2-2222-2-2-2222-2-2-200-220000-2-2-2222000000000000000000000000
χ332-2-222-22-22-22-2-2200-220000-2222-2-2-1-1-1111-1-1-111100-220000111-1-1-1333−3−3−3−3−3−3333000000000000
χ342-2-222-22-22-22-2-2200-220000-2222-2-2-1-1-1111-1-1-111100-220000111-1-1-1−3−3−3333333−3−3−3000000000000
χ352-2-22-12-21-112-2-222i−2i-11−i−iii2-2-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682i−2i-11−i−iiiζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22000000000000
χ362-2-22-12-21-112-2-222i−2i-11−i−iii2-2-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682i−2i-11−i−iiiζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70000000000000
χ372-2-22-12-21-112-2-222i−2i-11−i−iii2-2-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522i−2i-11−i−iii−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70000000000000
χ382-2-22-12-21-112-2-22−2i2i-11ii−i−i2-2-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2i2i-11ii−i−iζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22000000000000
χ392-2-22-12-21-112-2-22−2i2i-11ii−i−i2-2-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−2i2i-11ii−i−iζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70000000000000
χ402-2-22-12-21-112-2-22−2i2i-11ii−i−i2-2-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2i2i-11ii−i−i−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70000000000000
χ412-2-22-1-221-112-2-22001-13−3−33-22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68001-13−3−33−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22000000000000
χ422-2-22-1-221-112-2-22001-13−3−33-22-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68001-13−3−33−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70000000000000
χ432-2-22-1-221-112-2-22001-13−3−33-22-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52001-13−3−33ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70000000000000
χ442-2-22-1-221-112-2-22001-1−333−3-22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68001-1−333−3−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ14+ζ22000000000000
χ452-2-22-1-221-112-2-22001-1−333−3-22-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68001-1−333−3−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22ζ14+ζ62+ζ70000000000000
χ462-2-22-1-221-112-2-22001-1−333−3-22-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52001-1−333−3ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ14−ζ22−ζ14−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14+ζ62+ζ70−ζ22−ζ62−ζ70000000000000
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χ493333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-1-1-1111111-1-1
χ513-3-3333-3-33-3-111-13i−3i3-33i3i−3i−3i-11-1-111000000000000−ii-11−i−iii000000000000000000ii−i−i−i−iii1-1-11
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χ533-3-3333-3-33-3-111-1−3i3i3-3−3i−3i3i3i-11-1-111000000000000i−i-11ii−i−i000000000000000000ii−i−i−i−iii-111-1
χ543-3-3333-3-33-3-111-1−3i3i3-3−3i−3i3i3i-11-1-111000000000000i−i-11ii−i−i000000000000000000−i−iiiii−i−i1-1-11
χ5544-4-44004-4-444-4-400000000004-44-4-2-2-2-2-2-222222200000000000000000000000000000000000000
χ5644-4-4-200-22244-4-40000000000-22-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000000000000000000000000
χ5744-4-4-200-22244-4-40000000000-22-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000000
χ5844-4-4-200-22244-4-40000000000-22-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000000000000000000000000
χ594-44-4400-4-444-44-400000000004-4-44-2-2-2222222-2-2-200000000000000000000000000000000000000
χ604-44-4-20022-24-44-40000000000-222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800000000000000000000000000000000000000
χ614-44-4-20022-24-44-40000000000-222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000
χ624-44-4-20022-24-44-40000000000-222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200000000000000000000000000000000000000
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χ646666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ656666-366-3-3-3-2-2-2-2-6-6-3-33333-2-211110000000000002211-1-1-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-20033−3i33i3−3i33i322111100000000000000-1-1i3−i3i3−i3000000000000000000000000000000
χ676666-3-6-6-3-3-3-2-2-2-200333i3−3i33i3−3i322111100000000000000-1-1−i3i3−i3i3000000000000000000000000000000
χ6866-6-66006-6-6-2-2220000000000-22-22000000000000000000000000000000000000002−22−2−22−220000
χ6966-6-66006-6-6-2-2220000000000-22-2200000000000000000000000000000000000000−22−222−22−20000
χ706-66-6600-6-66-22-220000000000-222-200000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ716-66-6600-6-66-22-220000000000-222-200000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ726-6-666-66-66-6-222-200-6600002-2-2-222000000000000002-20000000000000000000000000000000000
χ736-6-66-36-63-33-222-26i−6i-33−3i−3i3i3i-2211-1-1000000000000−2i2i1-1ii−i−i000000000000000000000000000000
χ746-6-66-36-63-33-222-2−6i6i-333i3i−3i−3i-2211-1-10000000000002i−2i1-1−i−iii000000000000000000000000000000
χ756-6-66-3-663-33-222-2003-333−33−33332-211-1-100000000000000-11−333−3000000000000000000000000000000
χ766-6-66-3-663-33-222-2003-3−333333−332-211-1-100000000000000-113−3−33000000000000000000000000000000
χ771212-12-12-600-666-4-44400000000002-22-200000000000000000000000000000000000000000000000000
χ7812-1212-12-60066-6-44-4400000000002-2-2200000000000000000000000000000000000000000000000000

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