Finite Group Databasebeta

← Group #10591845

Character table — Group #10591845

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444668888888812121224241122222444446688888888121212242411222224444466888888881212122424
order1223446688121288266824242424248483663121266242412122424666242424242461224122436631212662424121224246662424242424612241224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111-1-1111-1-111111111111111-1-1-1-111-1-1111-1-111111111111111-1-1-1-111-1-1111-1-1
χ3111111111111-1-111111111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1
χ4111111111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-111
χ511111111-1-11111111-1-1-1-1-1-1-111-111111111-1-11111111-1-1-1-1-1-1-111-111111111-1-11111111-1-1-1-1-1-1-111-1
χ611111111-1-11111-1-1-11-1-111-1-11-1111111111-1-11111-1-1-11-1-111-1-11-1111111111-1-11111-1-1-11-1-111-1-11-11
χ711111111-1-111-1-1111-1-1-1-1-111-1-1111111111-1-111-1-1111-1-1-1-1-111-1-1111111111-1-111-1-1111-1-1-1-1-111-1-11
χ811111111-1-111-1-1-1-1-11-1-11111-11-111111111-1-111-1-1-1-1-11-1-11111-11-111111111-1-111-1-1-1-1-11-1-11111-11-1
χ92222-2-2222i−2i-2-20000002i−2i00000002222-2-2222i−2i-2-20000002i−2i00000002222-2-2222i−2i-2-20000002i−2i0000000
χ102222-2-222−2i2i-2-2000000−2i2i00000002222-2-222−2i2i-2-2000000−2i2i00000002222-2-222−2i2i-2-2000000−2i2i0000000
χ11222-122-1-122-1-1002-1-12-1-1-1-100000222-122-1-122-1-1002-1-12-1-1-1-100000222-122-1-122-1-1002-1-12-1-1-1-100000
χ12222-122-1-122-1-100-211-2-1-11100000222-122-1-122-1-100-211-2-1-11100000222-122-1-122-1-100-211-2-1-11100000
χ13222-122-1-1-2-2-1-1002-1-1-2111100000222-122-1-1-2-2-1-1002-1-1-2111100000222-122-1-1-2-2-1-1002-1-1-2111100000
χ14222-122-1-1-2-2-1-100-211211-1-100000222-122-1-1-2-2-1-100-211211-1-100000222-122-1-1-2-2-1-100-211211-1-100000
χ15222-1-2-2-1-12i−2i11000−i3i30−ii3−300000222-1-2-2-1-12i−2i11000−i3i30−ii3−300000222-1-2-2-1-12i−2i11000−i3i30−ii3−300000
χ16222-1-2-2-1-12i−2i11000i3−i30−ii−3300000222-1-2-2-1-12i−2i11000i3−i30−ii−3300000222-1-2-2-1-12i−2i11000i3−i30−ii−3300000
χ17222-1-2-2-1-1−2i2i11000−i3i30i−i−3300000222-1-2-2-1-1−2i2i11000−i3i30i−i−3300000222-1-2-2-1-1−2i2i11000−i3i30i−i−3300000
χ18222-1-2-2-1-1−2i2i11000i3−i30i−i3−300000222-1-2-2-1-1−2i2i11000i3−i30i−i3−300000222-1-2-2-1-1−2i2i11000i3−i30i−i3−300000
χ1922-222-22-2002-2220000000000-20022-222-22-2002-2220000000000-20022-222-22-2002-2220000000000-200
χ2022-222-22-2002-2-2-2000000000020022-222-22-2002-2-2-2000000000020022-222-22-2002-2-2-20000000000200
χ2122-22-222-200-2200000000002-200022-22-222-200-2200000000002-200022-22-222-200-2200000000002-2000
χ2222-22-222-200-220000000000-2200022-22-222-200-220000000000-2200022-22-222-200-220000000000-22000
χ2344-4-24-4-2200-2200000000000000044-4-24-4-2200-2200000000000000044-4-24-4-2200-22000000000000000
χ2444-4-2-44-22002-200000000000000044-4-2-44-22002-200000000000000044-4-2-44-22002-2000000000000000
χ254-40400-400000−2i22i200000000000004-40400-400000−2i22i200000000000004-40400-400000−2i22i20000000000000
χ264-40400-4000002i2−2i200000000000004-40400-4000002i2−2i200000000000004-40400-4000002i2−2i20000000000000
χ278-80-4004000000000000000000008-80-4004000000000000000000008-80-400400000000000000000000
χ28111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2911111111111111-1-1-1-111-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ30111111111111-1-111111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ31111111111111-1-1-1-1-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3211111111-1-11111111-1-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ3311111111-1-11111-1-1-11-1-111-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ3411111111-1-111-1-1111-1-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ3511111111-1-111-1-1-1-1-11-1-11111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ362222-2-2222i−2i-2-20000002i−2i0000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i32ζ14−2ζ141−i31−i30000002ζ14−2ζ140000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i32ζ22−2ζ221+i31+i30000002ζ22−2ζ220000000
χ372222-2-222−2i2i-2-2000000−2i2i0000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−2ζ142ζ141−i31−i3000000−2ζ142ζ140000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−2ζ222ζ221+i31+i3000000−2ζ222ζ220000000
χ38222-122-1-122-1-1002-1-12-1-1-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i3200−1+i31−i321−i32−1+i31−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i3200−1−i31+i321+i32−1−i31+i321+i321+i321+i3200000
χ39222-122-1-122-1-100-211-2-1-11100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32001−i3−1+i32−1+i321−i31−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32001+i3−1−i32−1−i321+i31+i321+i32−1−i32−1−i3200000
χ40222-122-1-1-2-2-1-1002-1-1-2111100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i3200−1−i31+i321+i321+i3−1−i32−1−i32−1−i32−1−i3200000
χ41222-122-1-1-2-2-1-100-211211-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i32001−i3−1+i32−1+i32−1+i3−1+i32−1+i321−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i32001+i3−1−i32−1−i32−1−i3−1−i32−1−i321+i321+i3200000
χ42222-1-2-2-1-12i−2i11000−i3i30−ii3−300000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i322ζ14−2ζ14−1+i32−1+i320003+i32−3−i320−ζ14ζ14−ζ14−2ζ22ζ14+2ζ2200000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i322ζ22−2ζ22−1−i32−1−i32000−3+i323−i320−ζ22ζ222ζ14+ζ22−2ζ14−ζ2200000
χ43222-1-2-2-1-12i−2i11000i3−i30−ii−3300000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i322ζ14−2ζ14−1+i32−1+i32000−3−i323+i320−ζ14ζ14ζ14+2ζ22−ζ14−2ζ2200000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i322ζ22−2ζ22−1−i32−1−i320003−i32−3+i320−ζ22ζ22−2ζ14−ζ222ζ14+ζ2200000
χ44222-1-2-2-1-1−2i2i11000−i3i30i−i−3300000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−2ζ142ζ14−1+i32−1+i320003+i32−3−i320ζ14−ζ14ζ14+2ζ22−ζ14−2ζ2200000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−2ζ222ζ22−1−i32−1−i32000−3+i323−i320ζ22−ζ22−2ζ14−ζ222ζ14+ζ2200000
χ45222-1-2-2-1-1−2i2i11000i3−i30i−i3−300000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−2ζ142ζ14−1+i32−1+i32000−3−i323+i320ζ14−ζ14−ζ14−2ζ22ζ14+2ζ2200000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−2ζ222ζ22−1−i32−1−i320003−i32−3+i320ζ22−ζ222ζ14+ζ22−2ζ14−ζ2200000
χ4622-222-22-2002-2220000000000-200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i3−1+i300000000001−i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i3−1−i300000000001+i300
χ4722-222-22-2002-2-2-20000000000200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i31−i30000000000−1+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i31+i30000000000−1−i300
χ4822-22-222-200-2200000000002-2000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i30000000000−1+i31−i3000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i30000000000−1−i31+i3000
χ4922-22-222-200-220000000000-22000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i300000000001−i3−1+i3000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i300000000001+i3−1−i3000
χ5044-4-24-4-2200-22000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3−1+i3001−i3−1+i3000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3−1−i3001+i3−1−i3000000000000000
χ5144-4-2-44-22002-2000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i3−1+i300−1+i31−i3000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i3−1−i300−1−i31+i3000000000000000
χ524-40400-400000−2i22i20000000000000−2+2i32−2i30−2+2i3002−2i3000002ζ5+2ζ23−2ζ5−2ζ230000000000000−2−2i32+2i30−2−2i3002+2i3000002ζ7+2ζ13−2ζ7−2ζ130000000000000
χ534-40400-4000002i2−2i20000000000000−2+2i32−2i30−2+2i3002−2i300000−2ζ5−2ζ232ζ5+2ζ230000000000000−2−2i32+2i30−2−2i3002+2i300000−2ζ7−2ζ132ζ7+2ζ130000000000000
χ548-80-400400000000000000000000−4+4i34−4i302−2i300−2+2i300000000000000000000−4−4i34+4i302+2i300−2−2i300000000000000000000
χ55111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5611111111111111-1-1-1-111-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ57111111111111-1-111111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ58111111111111-1-1-1-1-1-111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5911111111-1-11111111-1-1-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ6011111111-1-11111-1-1-11-1-111-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ6111111111-1-111-1-1111-1-1-1-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ6211111111-1-111-1-1-1-1-11-1-11111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ632222-2-2222i−2i-2-20000002i−2i0000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i32ζ22−2ζ221+i31+i30000002ζ22−2ζ220000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i32ζ14−2ζ141−i31−i30000002ζ14−2ζ140000000
χ642222-2-222−2i2i-2-2000000−2i2i0000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−2ζ222ζ221+i31+i3000000−2ζ222ζ220000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−2ζ142ζ141−i31−i3000000−2ζ142ζ140000000
χ65222-122-1-122-1-1002-1-12-1-1-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i3200−1−i31+i321+i32−1−i31+i321+i321+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i3200−1+i31−i321−i32−1+i31−i321−i321−i321−i3200000
χ66222-122-1-122-1-100-211-2-1-11100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32001+i3−1−i32−1−i321+i31+i321+i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32001−i3−1+i32−1+i321−i31−i321−i32−1+i32−1+i3200000
χ67222-122-1-1-2-2-1-1002-1-1-2111100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i3200−1−i31+i321+i321+i3−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32−1+i32−1+i3200000
χ68222-122-1-1-2-2-1-100-211211-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i32001+i3−1−i32−1−i32−1−i3−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i32001−i3−1+i32−1+i32−1+i3−1+i32−1+i321−i321−i3200000
χ69222-1-2-2-1-12i−2i11000−i3i30−ii3−300000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i322ζ22−2ζ22−1−i32−1−i32000−3+i323−i320−ζ22ζ222ζ14+ζ22−2ζ14−ζ2200000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i322ζ14−2ζ14−1+i32−1+i320003+i32−3−i320−ζ14ζ14−ζ14−2ζ22ζ14+2ζ2200000
χ70222-1-2-2-1-12i−2i11000i3−i30−ii−3300000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i322ζ22−2ζ22−1−i32−1−i320003−i32−3+i320−ζ22ζ22−2ζ14−ζ222ζ14+ζ2200000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i322ζ14−2ζ14−1+i32−1+i32000−3−i323+i320−ζ14ζ14ζ14+2ζ22−ζ14−2ζ2200000
χ71222-1-2-2-1-1−2i2i11000−i3i30i−i−3300000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−2ζ222ζ22−1−i32−1−i32000−3+i323−i320ζ22−ζ22−2ζ14−ζ222ζ14+ζ2200000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−2ζ142ζ14−1+i32−1+i320003+i32−3−i320ζ14−ζ14ζ14+2ζ22−ζ14−2ζ2200000
χ72222-1-2-2-1-1−2i2i11000i3−i30i−i3−300000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−2ζ222ζ22−1−i32−1−i320003−i32−3+i320ζ22−ζ222ζ14+ζ22−2ζ14−ζ2200000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−2ζ142ζ14−1+i32−1+i32000−3−i323+i320ζ14−ζ14−ζ14−2ζ22ζ14+2ζ2200000
χ7322-222-22-2002-2220000000000-200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i3−1−i300000000001+i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i3−1+i300000000001−i300
χ7422-222-22-2002-2-2-20000000000200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i31+i30000000000−1−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i31−i30000000000−1+i300
χ7522-22-222-200-2200000000002-2000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i30000000000−1−i31+i3000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i30000000000−1+i31−i3000
χ7622-22-222-200-220000000000-22000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i300000000001+i3−1−i3000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i300000000001−i3−1+i3000
χ7744-4-24-4-2200-22000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3−1−i3001+i3−1−i3000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3−1+i3001−i3−1+i3000000000000000
χ7844-4-2-44-22002-2000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i3−1−i300−1−i31+i3000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i3−1+i300−1+i31−i3000000000000000
χ794-40400-400000−2i22i20000000000000−2−2i32+2i30−2−2i3002+2i3000002ζ7+2ζ13−2ζ7−2ζ130000000000000−2+2i32−2i30−2+2i3002−2i3000002ζ5+2ζ23−2ζ5−2ζ230000000000000
χ804-40400-4000002i2−2i20000000000000−2−2i32+2i30−2−2i3002+2i300000−2ζ7−2ζ132ζ7+2ζ130000000000000−2+2i32−2i30−2+2i3002−2i300000−2ζ5−2ζ232ζ5+2ζ230000000000000
χ818-80-400400000000000000000000−4−4i34+4i302+2i300−2−2i300000000000000000000−4+4i34−4i302−2i300−2+2i300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.