Finite Group Databasebeta

← Group #13146357

Character table — Group #13146357

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222333344446666668888888888881212121216161616161616161616161618181818181824242424242424242424242424243636363636363636545454547272108108
order124433661212121288883612122424242424999181818363636363636661212999181818363636363636444488612727272727272727272727272881212121224248888242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ4111111111111-1-1-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511-1-11111-1-1-1-1ii−i−i11-1-1-11ii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1ii−i−ii−i-11iiiiii−i−i−i−i−i−ii−iii−i−ii−i11-1-1i−i1-1
χ611-1-11111-1-1-1-1ii−i−i11-1-1-11ii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−iiii−i-11iiiiii−i−i−i−i−i−i−ii−i−iiii−i-1-111−ii-11
χ711-1-11111-1-1-1-1−i−iii11-1-1-11−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1ii−i−i−ii-11−i−i−i−i−i−iiiiiiii−iii−i−i−ii-1-111i−i-11
χ811-1-11111-1-1-1-1−i−iii11-1-1-11−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−iii−ii-11−i−i−i−i−i−iiiiiii−ii−i−iii−ii11-1-1−ii1-1
χ922222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000002200000000
χ10222222222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-222111111111111000000-2-200000000
χ1122222-12-1-1-1222222-1-1-1-122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-122-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000022-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000-1-100000000
χ1222222-12-1-1-1222222-1-1-1-122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-122-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000022-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000-1-100000000
χ1322222-12-1-1-1222222-1-1-1-122-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-122-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000022-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000-1-100000000
χ1422222-12-1-1-122-2-2-2-2-1-1-1-1221111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-122-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000-2-2-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000001100000000
χ1522222-12-1-1-122-2-2-2-2-1-1-1-1221111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-122-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000-2-2-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000001100000000
χ1622222-12-1-1-122-2-2-2-2-1-1-1-1221111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-122-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000-2-2-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000001100000000
χ172222-12-1222-1-10000-1-1-1-12200002222222222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100000000000022-1-1-1-1000000-1-100
χ182222-12-1222-1-10000-1-1-1-12200002222222222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-1-1000000000000-2-211110000001100
χ1922-2-22222-2-2-2-22i2i−2i−2i22-2-2-222i2i−2i−2i-1-1-1-1-1-1111111-2-222-1-1-1-1-1-111111100002i−2i-22−i−i−i−i−i−iiiiiii0000002i−2i00000000
χ2022-2-22222-2-2-2-2−2i−2i2i2i22-2-2-22−2i−2i2i2i-1-1-1-1-1-1111111-2-222-1-1-1-1-1-11111110000−2i2i-22iiiiii−i−i−i−i−i−i000000−2i2i00000000
χ2122-2-22-12-111-2-22i2i−2i−2i-1-111-22−i−iiiζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800002i−2i1-1ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22000000−ii00000000
χ2222-2-22-12-111-2-22i2i−2i−2i-1-111-22−i−iiiζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800002i−2i1-1ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70000000−ii00000000
χ2322-2-22-12-111-2-22i2i−2i−2i-1-111-22−i−iii−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200002i−2i1-1−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70000000−ii00000000
χ2422-2-22-12-111-2-2−2i−2i2i2i-1-111-22ii−i−iζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-22-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000−2i2i1-1−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22000000i−i00000000
χ2522-2-22-12-111-2-2−2i−2i2i2i-1-111-22ii−i−iζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-22-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000−2i2i1-1−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70000000i−i00000000
χ2622-2-22-12-111-2-2−2i−2i2i2i-1-111-22ii−i−i−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-22-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000−2i2i1-1ζ14+ζ22ζ14+ζ22−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70−ζ14−ζ22−ζ14−ζ22ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70000000i−i00000000
χ2722-2-2-12-12-2-2110000-1-111-220000222222-2-2-2-2-2-2-21-12-1-1-1-1-1-11111112i2i−2i−2i001-10000000000002i−2i−i−iii000000−ii00
χ2822-2-2-12-12-2-2110000-1-111-220000222222-2-2-2-2-2-2-21-12-1-1-1-1-1-1111111−2i−2i2i2i001-1000000000000−2i2iii−i−i000000i−i00
χ292-22i−2i22-2-22i−2i2i−2i2ζ21+2ζ69−2ζ21−2ζ69−2ζ15−2ζ392ζ15+2ζ392-22i−2i002ζ21+2ζ69−2ζ21−2ζ69−2ζ15−2ζ392ζ15+2ζ39-1-1-1111i−ii−ii−i0000-1-1-1111i−ii−ii−i1−i−1+i1+i−1−i0000ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39001−i−1+i1+i−1−i00−i2i22−20000
χ302-22i−2i22-2-22i−2i2i−2i2ζ21+2ζ69−2ζ21−2ζ69−2ζ15−2ζ392ζ15+2ζ392-22i−2i002ζ21+2ζ69−2ζ21−2ζ69−2ζ15−2ζ392ζ15+2ζ39-1-1-1111i−ii−ii−i0000-1-1-1111i−ii−ii−i−1+i1−i−1−i1+i0000ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ3900−1+i1−i−1−i1+i00i2−i2−220000
χ312-22i−2i22-2-22i−2i2i−2i−2ζ21−2ζ692ζ21+2ζ692ζ15+2ζ39−2ζ15−2ζ392-22i−2i00−2ζ21−2ζ692ζ21+2ζ692ζ15+2ζ39−2ζ15−2ζ39-1-1-1111i−ii−ii−i0000-1-1-1111i−ii−ii−i1−i−1+i1+i−1−i0000−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39001−i−1+i1+i−1−i00i2−i2−220000
χ322-22i−2i22-2-22i−2i2i−2i−2ζ21−2ζ692ζ21+2ζ692ζ15+2ζ39−2ζ15−2ζ392-22i−2i00−2ζ21−2ζ692ζ21+2ζ692ζ15+2ζ39−2ζ15−2ζ39-1-1-1111i−ii−ii−i0000-1-1-1111i−ii−ii−i−1+i1−i−1−i1+i0000−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ3900−1+i1−i−1−i1+i00−i2i22−20000
χ332-2−2i2i22-2-2−2i2i−2i2i−2ζ15−2ζ392ζ15+2ζ392ζ21+2ζ69−2ζ21−2ζ692-2−2i2i00−2ζ15−2ζ392ζ15+2ζ392ζ21+2ζ69−2ζ21−2ζ69-1-1-1111−ii−ii−ii0000-1-1-1111−ii−ii−ii1+i−1−i1−i−1+i0000−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69001+i−1−i1−i−1+i00i2−i22−20000
χ342-2−2i2i22-2-2−2i2i−2i2i−2ζ15−2ζ392ζ15+2ζ392ζ21+2ζ69−2ζ21−2ζ692-2−2i2i00−2ζ15−2ζ392ζ15+2ζ392ζ21+2ζ69−2ζ21−2ζ69-1-1-1111−ii−ii−ii0000-1-1-1111−ii−ii−ii−1−i1+i−1+i1−i0000−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ6900−1−i1+i−1+i1−i00−i2i2−220000
χ352-2−2i2i22-2-2−2i2i−2i2i2ζ15+2ζ39−2ζ15−2ζ39−2ζ21−2ζ692ζ21+2ζ692-2−2i2i002ζ15+2ζ39−2ζ15−2ζ39−2ζ21−2ζ692ζ21+2ζ69-1-1-1111−ii−ii−ii0000-1-1-1111−ii−ii−ii1+i−1−i1−i−1+i0000ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69001+i−1−i1−i−1+i00−i2i2−220000
χ362-2−2i2i22-2-2−2i2i−2i2i2ζ15+2ζ39−2ζ15−2ζ39−2ζ21−2ζ692ζ21+2ζ692-2−2i2i002ζ15+2ζ39−2ζ15−2ζ39−2ζ21−2ζ692ζ21+2ζ69-1-1-1111−ii−ii−ii0000-1-1-1111−ii−ii−ii−1−i1+i−1+i1−i0000ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ69−ζ21−ζ69ζ21+ζ6900−1−i1+i−1+i1−i00i2−i22−20000
χ3733333333333333333333-1-13333000000000000-1-1-1-10000000000001111-1-1-1-1000000000000-1-11111-1-11111-1-1-1-1
χ3833333333333333333333-1-13333000000000000-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000000011-1-1-1-1-1-1-1-1-1-11111
χ39333333333333-3-3-3-33333-1-1-3-3-3-3000000000000-1-1-1-1000000000000111111-1-1000000000000-1-1111111-1-1-1-1-1-111
χ40333333333333-3-3-3-33333-1-1-3-3-3-3000000000000-1-1-1-1000000000000-1-1-1-111-1-100000000000011-1-1-1-111111111-1-1
χ4133-3-33333-3-3-3-33i3i−3i−3i33-3-31-13i3i−3i−3i00000000000011-1-1000000000000ii−i−i−ii1-1000000000000−iiii−i−i−ii11-1-1−ii-11
χ4233-3-33333-3-3-3-33i3i−3i−3i33-3-31-13i3i−3i−3i00000000000011-1-1000000000000−i−iii−ii1-1000000000000i−i−i−iii−ii-1-111i−i1-1
χ4333-3-33333-3-3-3-3−3i−3i3i3i33-3-31-1−3i−3i3i3i00000000000011-1-1000000000000ii−i−ii−i1-1000000000000−iiii−i−ii−i-1-111−ii1-1
χ4433-3-33333-3-3-3-3−3i−3i3i3i33-3-31-1−3i−3i3i3i00000000000011-1-1000000000000−i−iiii−i1-1000000000000i−i−i−iiii−i11-1-1i−i-11
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χ848-88i−8i-4-444−4i4i−4i4i00002-22i−2i000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ700000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70000000000000000000000000000000000000
χ858-8−8i8i-484-8−8i8i4i−4i0000-444i−4i000000222-2-2-22i−2i2i−2i2i−2i0000-1-1-1111−ii−ii−ii000000000000000000000000000000000000
χ868-8−8i8i-4-4444i−4i4i−4i00002-2−2i2i000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ220000ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22000000000000000000000000000000000000
χ878-8−8i8i-4-4444i−4i4i−4i00002-2−2i2i0000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ700000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70000000000000000000000000000000000000
χ888-8−8i8i-4-4444i−4i4i−4i00002-2−2i2i000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ700000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70000000000000000000000000000000000000
χ8912121212-6-6-6-6-6-6-6-600003333-4-400000000000000002222000000000000000000-1-10000000000000000000000000000
χ901212-12-12-6-6-6-66666000033-3-34-40000000000000000-2-2220000000000000000001-10000000000000000000000000000

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