Finite Group Databasebeta

← Group #12009923

Character table — Group #12009923

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111122222222224444444488888888888888810101616161616161616161616161616161616161616161616161616161616202020202040404040404040808080
order1222225510101010101022441010101044444441010101020202020444882020202020202020202020202020202020204040404040404040224444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ41111111111111111111111111-1-1-1-111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111111-1-111111111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1
χ611111111111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ711111111111111111111111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1
χ911111111111111-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-111-1i−i11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i111-1-1-111ii−i−i-1i−i
χ1011111111111111-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1i−i11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1111-1-1−i−iii1−ii
χ1111111111111111-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-111-1−ii11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii111-1-1-111−i−iii-1−ii
χ1211111111111111-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-1−ii11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1111-1-1ii−i−i1i−i
χ1311111111111111-1-1-1-111111-1-1ii−i−i-1-1-1-1-1-1-1-1111−ii111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111-1-1-1-1-1ii−i−i1−ii
χ1411111111111111-1-1-1-111111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11−ii111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111111−i−iii-1i−i
χ1511111111111111-1-1-1-111111-1-1−i−iii-1-1-1-1-1-1-1-1111i−i111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111-1-1-1-1-1−i−iii1i−i
χ1611111111111111-1-1-1-111111-1-1−i−iii-1-1-1-1-1-1-1-1-1-11i−i111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111111ii−i−i-1−ii
χ172222222222222222-2-22222-20000002222-2-2-2-222000-2-2000000000000000000000000-2-2222-2000000000
χ182222222222222222-2-22222-20000002222-2-2-2-2-2-2000-2-200000000000000000000000022-2-2-22000000000
χ1922222222222222-2-2222222-2000000-2-2-2-2222222000-2-2000000000000000000000000-2-22-2-22000000000
χ2022222222222222-2-2222222-2000000-2-2-2-22222-2-2000-2-200000000000000000000000022-222-2000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-222−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522222i2i−2i−2i1−521+521−521+521−521−521+521+5200-22i−2i−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52222−2i−2i2i2i1−521+521−521+521−521−521+521+5200-2−2i2i−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522-2-22i2i−2i−2i1−521+521−521+521−521−521+521+52002−2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522-2-2−2i−2i2i2i1−521+521−521+521−521−521+521+520022i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-222−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522222i2i−2i−2i1+521−521+521−521+521+521−521−5200-22i−2i−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52222−2i−2i2i2i1+521−521+521−521+521+521−521−5200-2−2i2i−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522-2-22i2i−2i−2i1+521−521+521−521+521+521−521−52002−2i2i−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522-2-2−2i−2i2i2i1+521−521+521−521+521+521−521−520022i−2i−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000
χ3722-2-2-222222-2-2-2-2002i−2i-2-2220001+i−1−i1−i−1+i00002i−2i2i−2i0000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-202i−2i0001+i−1−i1−i−1+i000
χ3822-2-2-222222-2-2-2-2002i−2i-2-2220001+i−1−i1−i−1+i00002i−2i2i−2i0000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000-220−2i2i000−1−i1+i−1+i1−i000
χ3922-2-2-222222-2-2-2-2002i−2i-2-222000−1−i1+i−1+i1−i00002i−2i2i−2i000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-202i−2i000−1−i1+i−1+i1−i000
χ4022-2-2-222222-2-2-2-2002i−2i-2-222000−1−i1+i−1+i1−i00002i−2i2i−2i000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000-220−2i2i0001+i−1−i1−i−1+i000
χ4122-2-2-222222-2-2-2-200−2i2i-2-2220001−i−1+i1+i−1−i0000−2i2i−2i2i0000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-20−2i2i0001−i−1+i1+i−1−i000
χ4222-2-2-222222-2-2-2-200−2i2i-2-2220001−i−1+i1+i−1−i0000−2i2i−2i2i0000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000-2202i−2i000−1+i1−i−1−i1+i000
χ4322-2-2-222222-2-2-2-200−2i2i-2-222000−1+i1−i−1−i1+i0000−2i2i−2i2i000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-20−2i2i000−1+i1−i−1−i1+i000
χ4422-2-2-222222-2-2-2-200−2i2i-2-222000−1+i1−i−1−i1+i0000−2i2i−2i2i000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000-2202i−2i0001−i−1+i1+i−1−i000
χ45444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-4-4−1+5−1−5−1+5−1−5-4000000−1+5−1−5−1+5−1−51−51−51+51+5000001−51+5000000000000000000000000000000000000000
χ46444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-444−1+5−1−5−1+5−1−5-40000001−51+51−51+5−1+5−1+5−1−5−1−5000001−51+5000000000000000000000000000000000000000
χ47444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-4-4−1−5−1+5−1−5−1+5-4000000−1−5−1+5−1−5−1+51+51+51−51−5000001+51−5000000000000000000000000000000000000000
χ48444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-444−1−5−1+5−1−5−1+5-40000001+51−51+51−5−1−5−1−5−1+5−1+5000001+51−5000000000000000000000000000000000000000
χ494444-4-4444444440000-4-4-4-4000000000000000440000000000000000000000000000000-4000000000000
χ504444-4-4444444440000-4-4-4-4000000000000000-4-400000000000000000000000000000004000000000000
χ5144-4-44-44444-4-4-4-44-40044-4-40000000-4-44400000000000000000000000000000000000000000000000000
χ5244-4-44-44444-4-4-4-4-440044-4-4000000044-4-400000000000000000000000000000000000000000000000000
χ5344-4-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+500000001−51+5−1+5−1−5000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000
χ5444-4-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+500000001−51+5−1+5−1−5000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000
χ5544-4-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+50000000−1+5−1−51−51+5000000000000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000
χ5644-4-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+50000000−1+5−1−51−51+5000000000000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000
χ5744-4-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−500000001+51−5−1−5−1+5000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000
χ5844-4-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−500000001+51−5−1−5−1+5000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000
χ5944-4-44-4−1−5−1+5−1−5−1+51+51−51+51−5-4400−1−5−1+51+51−50000000−1−5−1+51+51−5000000000000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000
χ6044-4-44-4−1−5−1+5−1−5−1+51+51−51+51−5-4400−1−5−1+51+51−50000000−1−5−1+51+51−5000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000
χ6144-4-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−50002+2i−2−2i2−2i−2+2i0000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ3600000000000000000000000
χ6244-4-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−5000−2−2i2+2i−2+2i2−2i0000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ3600000000000000000000000
χ6344-4-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−50002−2i−2+2i2+2i−2−2i00002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ3600000000000000000000000
χ6444-4-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−5000−2+2i2−2i−2−2i2+2i00002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ3600000000000000000000000
χ6544-4-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+50002+2i−2−2i2−2i−2+2i0000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ3800000000000000000000000
χ6644-4-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+5000−2−2i2+2i−2+2i2−2i0000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ3800000000000000000000000
χ6744-4-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+50002−2i−2+2i2+2i−2−2i00002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ3800000000000000000000000
χ6844-4-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+5000−2+2i2−2i−2−2i2+2i00002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ3800000000000000000000000
χ694-44-40044-4-444-4-40000000002i−2i0000000000004i−4i0000000002i−2i2i−2i00000000000000000000002-20000000
χ704-44-40044-4-444-4-40000000002i−2i000000000000−4i4i0000000002i−2i2i−2i0000000000000000000000-220000000
χ714-44-40044-4-444-4-4000000000−2i2i0000000000004i−4i000000000−2i2i−2i2i0000000000000000000000-220000000
χ724-44-40044-4-444-4-4000000000−2i2i000000000000−4i4i000000000−2i2i−2i2i00000000000000000000002-20000000
χ738888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−2500002−252+252−252+250000000000000000000000000000000000000000000000000000000000000
χ748888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+2500002+252−252+252−250000000000000000000000000000000000000000000000000000000000000
χ758-88-800−2+25−2−252−252+25−2+25−2−252−252+250000000004i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000
χ768-88-800−2+25−2−252−252+25−2+25−2−252−252+25000000000−4i4i000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000
χ778-88-800−2−25−2+252+252−25−2−25−2+252+252−250000000004i−4i00000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000
χ788-88-800−2−25−2+252+252−25−2−25−2+252+252−25000000000−4i4i000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000
χ798-8-880088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000
χ808-8-8800−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000
χ818-8-8800−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000
χ828-8-8800−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000
χ838-8-8800−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.