Finite Group Databasebeta

← Group #13146358

Character table — Group #13146358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222224444666666668888888888881212121216161616161616161616161618182424242424242424242424242424363636363636363636367272108108108108
order12443366121212123612122488242424249991818183636363636366612129991818183636363636368861272727272727272727272727224882424242424246124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-11111-1-1-1-111-1-1-11i−iii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1i−i-11iiiiii−i−i−i−i−i−i1-11-1i−i11-1-11-1i−ii−i
χ611-1-11111-1-1-1-111-1-1-11i−iii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1i−i-11iiiiii−i−i−i−i−i−i-11-11i−i-1-111-11−ii−ii
χ711-1-11111-1-1-1-111-1-1-11−ii−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−ii-11−i−i−i−i−i−iiiiiii1-11-1−ii11-1-11-1−ii−ii
χ811-1-11111-1-1-1-111-1-1-11−ii−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−ii-11−i−i−i−i−i−iiiiiii-11-11−ii-1-111-11i−ii−i
χ9222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000000000
χ10222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2221111111111110000-2-20000000000
χ1122222-12-1-1-122-1-1-1-1220000002222222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-100-1-1000000000000222200-1-1-1-1-1-10000
χ1222222-12-1-1-122-1-1-1-1220000002222222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-100-1-1000000000000-2-2-2-2001111110000
χ132222-12-1222-1-1-1-1-1-12222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000-1-10000000000
χ142222-12-1222-1-1-1-1-1-12222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000-1-10000000000
χ152222-12-1222-1-1-1-1-1-12222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-12-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000-1-10000000000
χ162222-12-1222-1-1-1-1-1-122-2-21111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-1-1−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+ζ680000110000000000
χ172222-12-1222-1-1-1-1-1-122-2-21111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-1-1−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−ζ680000110000000000
χ182222-12-1222-1-1-1-1-1-122-2-21111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-12-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-2-1-1ζ4+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−ζ520000110000000000
χ1922-2-22222-2-2-2-222-2-2-222i−2i2i2i−2i−2i-1-1-1-1-1-1111111-2-222-1-1-1-1-1-11111112i−2i-22−i−i−i−i−i−iiiiiii00002i−2i0000000000
χ2022-2-22222-2-2-2-222-2-2-22−2i2i−2i−2i2i2i-1-1-1-1-1-1111111-2-222-1-1-1-1-1-1111111−2i2i-22iiiiii−i−i−i−i−i−i0000−2i2i0000000000
χ2122-2-22-12-111-2-2-1-111-22000000222222-2-2-2-2-2-2-212-1-1-1-1-1-1-1111111001-10000000000002-22-200-1-111-110000
χ2222-2-22-12-111-2-2-1-111-22000000222222-2-2-2-2-2-2-212-1-1-1-1-1-1-1111111001-1000000000000-22-220011-1-11-10000
χ2322-2-2-12-12-2-211-1-111-222i−2i−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+ζ681-2-12ζ44−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+ζ682i−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+ζ220000−ii0000000000
χ2422-2-2-12-12-2-211-1-111-222i−2i−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−ζ681-2-12ζ4−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−ζ682i−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+ζ700000−ii0000000000
χ2522-2-2-12-12-2-211-1-111-222i−2i−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−ζ521-2-12−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−ζ522i−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−ζ700000−ii0000000000
χ2622-2-2-12-12-2-211-1-111-22−2i2iii−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+ζ681-2-12ζ44−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+ζ68−2i2i1-1−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−ζ220000i−i0000000000
χ2722-2-2-12-12-2-211-1-111-22−2i2iii−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−ζ681-2-12ζ4−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−ζ68−2i2i1-1−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−ζ700000i−i0000000000
χ2822-2-2-12-12-2-211-1-111-22−2i2iii−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−ζ521-2-12−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−ζ52−2i2i1-1ζ14+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+ζ700000i−i0000000000
χ293333333333333333-1-1333333000000000000-1-1-1-1000000000000-1-1-1-100000000000011-1-1-1-1-1-1-1-111-1-111
χ303333333333333333-1-1333333000000000000-1-1-1-1000000000000-1-1-1-1000000000000-1-111-1-11111-1-111-1-1
χ313333333333333333-1-1-3-3-3-3-3-3000000000000-1-1-1-100000000000011-1-100000000000011-1-111-1-1-1-11111-1-1
χ323333333333333333-1-1-3-3-3-3-3-3000000000000-1-1-1-100000000000011-1-1000000000000-1-111111111-1-1-1-111
χ3333-3-33333-3-3-3-333-3-31-13i−3i3i3i−3i−3i00000000000011-1-1000000000000−ii1-10000000000001-1-11−ii-1-1111-1−iii−i
χ3433-3-33333-3-3-3-333-3-31-13i−3i3i3i−3i−3i00000000000011-1-1000000000000−ii1-1000000000000-111-1−ii11-1-1-11i−i−ii
χ3533-3-33333-3-3-3-333-3-31-1−3i3i−3i−3i3i3i00000000000011-1-1000000000000i−i1-10000000000001-1-11i−i-1-1111-1i−i−ii
χ3633-3-33333-3-3-3-333-3-31-1−3i3i−3i−3i3i3i00000000000011-1-1000000000000i−i1-1000000000000-111-1i−i11-1-1-11−iii−i
χ3744444-24-2-2-244-2-2-2-244000000-2-2-2-2-2-2-2-2-2-2-2-24-24-211111111111100-2-20000000000000000000000000000
χ384444-2-2-2-2-2-2-2-21111440000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ68-2-2-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800110000000000000000000000000000
χ394444-2-2-2-2-2-2-2-21111440000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68-2-2-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800110000000000000000000000000000
χ404444-2-2-2-2-2-2-2-2111144000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52-2-2-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200110000000000000000000000000000
χ4144-4-44-24-222-4-4-2-222-44000000-2-2-2-2-2-2222222-424-2111111-1-1-1-1-1-1002-20000000000000000000000000000
χ4244-4-4-2-2-2-2222211-1-1-440000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ6822-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800-110000000000000000000000000000
χ4344-4-4-2-2-2-2222211-1-1-440000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6822-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800-110000000000000000000000000000
χ4444-4-4-2-2-2-2222211-1-1-44000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5222-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200-110000000000000000000000000000
χ454-44i−4i44-4-44i−4i4i−4i4-44i−4i00000000111-1-1-1i−ii−ii−i0000111-1-1-1i−ii−ii−i0000−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ390000000000000000
χ464-44i−4i44-4-44i−4i4i−4i4-44i−4i00000000111-1-1-1i−ii−ii−i0000111-1-1-1i−ii−ii−i0000ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ390000000000000000
χ474-44i−4i44-4-44i−4i4i−4i4-44i−4i00000000-2-2-2222−2i2i−2i2i−2i2i0000-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000
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χ494-44i−4i4-2-42−2i2i4i−4i-22−2i2i00000000-2-2-2222−2i2i−2i2i−2i2i0000111-1-1-1i−ii−ii−i0000000000000000000000−66−i6i6000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.