Finite Group Databasebeta

← Group #13088275

Character table — Group #13088275

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22
size113636454572727272727272728080909090909090
order1244225510102020202036448888
χ11111111111111111111111
χ211-1-1111111-1-1-1-11111-1-1-1-1
χ31-1i−i-1111-1-1ii−i−i1-11-1ii−i−i
χ41-1−ii-1111-1-1−i−iii1-11-1−i−iii
χ58822001−521+521−521+52−1+52−1−52−1+52−1−52-1-1000000
χ68822001+521−521+521−52−1−52−1+52−1−52−1+52-1-1000000
χ788-2-2001−521+521−521+521−521+521−521+52-1-1000000
χ888-2-2001+521−521+521−521+521−521+521−52-1-1000000
χ98-82i−2i001−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14-11000000
χ108-82i−2i001+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38-11000000
χ118-8−2i2i001−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14-11000000
χ128-8−2i2i001+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38-11000000
χ13991111-1-1-1-111110011-1-1-1-1
χ1499-1-111-1-1-1-1-1-1-1-100111111
χ159-9i−i-11-1-111ii−i−i001-1−i−iii
χ169-9−ii-11-1-111−i−iii001-1ii−i−i
χ17101000220000000011-2-20000
χ18101000-2-20000000011002−22−2
χ19101000-2-2000000001100−22−22
χ2010-10002-2000000001-100i2−i2−i2i2
χ2110-10002-2000000001-100−i2i2i2−i2
χ2210-1000-22000000001-1-220000

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