Finite Group Databasebeta

← Group #11772891

Character table — Group #11772891

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222222222444444488888888888888888888881616161616161616161616161616161616161616161636363636144144144
order12236999181818444618181824661212121818181818183636363636363636364412121212123636363636363636363636363636368888488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1
χ41111111111111111111111111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111i−i-1ii−i−i-1-1-1iiiiii−i−i−i−i−i−i1111-1i−i
χ6111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111i−i-1ii−i−i-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-11−ii
χ7111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111−ii-1−i−iii-1-1-1−i−i−i−i−i−iiiiiii1111-1−ii
χ8111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111−ii-1−i−iii-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11i−i
χ922222222222-2-2222222-2222-2-2222222222-2-2-2-2-2-200-20000-2-2-20000000000000000000
χ1022222222222-2-222222-22-2-22-2-2-2-2-2-2-2-2222-2-2-2-2-2-200200002220000000000000000000
χ1122222-1-1-1-1-1-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000
χ1222222-1-1-1-1-1-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-2-2-2-1-1-11111111111110000000
χ1322222-1-1-1-1-1-12222-1-1-1-2-2-2-2222111111-1-1-1-1-1-1-1-1-12i−2i-22i2i−2i−2i111−i−i−i−i−i−iiiiiii0000000
χ1422222-1-1-1-1-1-12222-1-1-1-2-2-2-2222111111-1-1-1-1-1-1-1-1-1−2i2i-2−2i−2i2i2i111iiiiii−i−i−i−i−i−i0000000
χ1522222-1-1-1-1-1-1-2-222-1-1-12-2222-2-2-1-1-1-1-1-1-1-1-111111100-20000111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i30000000
χ1622222-1-1-1-1-1-1-2-222-1-1-12-2222-2-2-1-1-1-1-1-1-1-1-111111100-20000111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i30000000
χ1722222-1-1-1-1-1-1-2-222-1-1-1-22-2-22-2-2111111-1-1-11111110020000-1-1-1333−3−3−3−3−3−33330000000
χ1822222-1-1-1-1-1-1-2-222-1-1-1-22-2-22-2-2111111-1-1-11111110020000-1-1-1−3−3−3333333−3−3−30000000
χ19222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1-1ζ44−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−ζ680000000
χ20222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-11111ζ44−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+ζ680000000
χ21222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-211-1-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682i−2i1−i−iii−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+ζ220000000
χ22222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-211-1-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−2i2i1ii−i−i−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−ζ220000000
χ23222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-1-1-111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68001−i3i3−i3i3−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−ζ680000000
χ24222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-1-1-111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68001i3−i3i3−i3−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+ζ680000000
χ25222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2211-111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-13−3−33ζ44−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−ζ220000000
χ26222-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2211-111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1−333−3ζ44−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+ζ220000000
χ27222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1-1ζ4−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+ζ680000000
χ28222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-11111ζ4−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−ζ680000000
χ29222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-211-1-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682i−2i1−i−iii−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+ζ700000000
χ30222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-211-1-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−2i2i1ii−i−i−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−ζ700000000
χ31222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-1-1-111ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68001−i3i3−i3i3−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+ζ680000000
χ32222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-1-1-111ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68001i3−i3i3−i3−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−ζ680000000
χ33222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2211-111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800-13−3−33ζ4−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−ζ700000000
χ34222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2211-111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800-1−333−3ζ4−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+ζ700000000
χ35222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1-1−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+ζ520000000
χ36222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-2-11111−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−ζ520000000
χ37222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-211-1-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522i−2i1−i−iiiζ4+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−ζ700000000
χ38222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-211-1-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−2i2i1ii−i−iζ4+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+ζ700000000
χ39222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-1-1-111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52001−i3i3−i3i3ζ4+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−ζ520000000
χ40222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-1-1-111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52001i3−i3i3−i3ζ4+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+ζ520000000
χ41222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2211-111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200-13−3−33−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+ζ700000000
χ42222-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2211-111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200-1−333−3−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−ζ700000000
χ434444444444400-444440000-400000000-4-4-400000000000000000000000000000000000
χ4444444-2-2-2-2-2-200-44-2-2-20000-400−2i32i3−2i32i3−2i32i322200000000000000000000000000000000000
χ4544444-2-2-2-2-2-200-44-2-2-20000-4002i3−2i32i3−2i32i3−2i322200000000000000000000000000000000000
χ46444-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800-4-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2i32i3200−2ζ44−2ζ52−2ζ682ζ44+2ζ52+2ζ682ζ4+2ζ44+2ζ52−2ζ4−2ζ44−2ζ52−2ζ4+2ζ682ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000000000000000000000
χ47444-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800-4-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68002i3−2i32002ζ44+2ζ52+2ζ68−2ζ44−2ζ52−2ζ68−2ζ4−2ζ44−2ζ522ζ4+2ζ44+2ζ522ζ4−2ζ68−2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000000000000000000000
χ48444-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800-4-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2i32i32002ζ4+2ζ44+2ζ52−2ζ4−2ζ44−2ζ52−2ζ4+2ζ682ζ4−2ζ68−2ζ44−2ζ52−2ζ682ζ44+2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000
χ49444-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800-4-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68002i3−2i3200−2ζ4−2ζ44−2ζ522ζ4+2ζ44+2ζ522ζ4−2ζ68−2ζ4+2ζ682ζ44+2ζ52+2ζ68−2ζ44−2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000
χ50444-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200-4-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200−2i32i3200−2ζ4+2ζ682ζ4−2ζ68−2ζ44−2ζ52−2ζ682ζ44+2ζ52+2ζ682ζ4+2ζ44+2ζ52−2ζ4−2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000000000000000000000
χ51444-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200-4-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002i3−2i32002ζ4−2ζ68−2ζ4+2ζ682ζ44+2ζ52+2ζ68−2ζ44−2ζ52−2ζ68−2ζ4−2ζ44−2ζ522ζ4+2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000000000000000000000
χ5244-444444444000-4-4-4-4000000000000000000000000000000000000000000002i2i−2i−2i000
χ5344-444444444000-4-4-4-400000000000000000000000000000000000000000000−2i−2i2i2i000
χ544-404-4444-4-4-42i−2i00000000002i−2i0000000002i−2i2i−2i2i−2i00000000000000000000002ζ21+2ζ69−2ζ21−2ζ69−2ζ15−2ζ392ζ15+2ζ39000
χ554-404-4444-4-4-42i−2i00000000002i−2i0000000002i−2i2i−2i2i−2i0000000000000000000000−2ζ21−2ζ692ζ21+2ζ692ζ15+2ζ39−2ζ15−2ζ39000
χ564-404-4444-4-4-4−2i2i0000000000−2i2i000000000−2i2i−2i2i−2i2i0000000000000000000000−2ζ15−2ζ392ζ15+2ζ392ζ21+2ζ69−2ζ21−2ζ69000
χ574-404-4444-4-4-4−2i2i0000000000−2i2i000000000−2i2i−2i2i−2i2i00000000000000000000002ζ15+2ζ39−2ζ15−2ζ39−2ζ21−2ζ692ζ21+2ζ69000
χ5888-888-4-4-4-4-4-4000-8444000000000000000000000000000000000000000000000000000
χ5988-8-4-44ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ680004−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68000000000000000000000000000000000000000000000000000
χ6088-8-4-44ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ680004−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68000000000000000000000000000000000000000000000000000
χ6188-8-4-4−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ5200044ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52000000000000000000000000000000000000000000000000000
χ628-808-8-4-4-44444i−4i00000000004i−4i000000000−2i2i−2i2i−2i2i00000000000000000000000000000
χ638-808-8-4-4-4444−4i4i0000000000−4i4i0000000002i−2i2i−2i2i−2i00000000000000000000000000000
χ648-80-444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ684i−4i0000000000−2i2i0000000002ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ2200000000000000000000000000000
χ658-80-444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4i4i00000000002i−2i000000000−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ2200000000000000000000000000000
χ668-80-444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ684i−4i0000000000−2i2i0000000002ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7000000000000000000000000000000
χ678-80-444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4i4i00000000002i−2i000000000−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ7000000000000000000000000000000
χ688-80-44−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524i−4i0000000000−2i2i000000000−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7000000000000000000000000000000
χ698-80-44−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52−4i4i00000000002i−2i0000000002ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ7000000000000000000000000000000

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