Finite Group Databasebeta

← Group #13088280

Character table — Group #13088280

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111140404040404040407272727272727272909090909090
order124433661212121255101020202020248888
χ111111111111111111111111111
χ211-1-11111-1-1-1-11111-1-1-1-1-1111-1-1
χ34-44i−4i1-22-1i2i−2i−i-1-111ii−i−i000000
χ44-44i−4i-21-12−2i−ii2i-1-111ii−i−i000000
χ54-4−4i4i1-22-1−i−2i2ii-1-111−i−iii000000
χ64-4−4i4i-21-122ii−i−2i-1-111−i−iii000000
χ755552-1-122-1-120000000011-1-1-1-1
χ85555-122-1-122-10000000011-1-1-1-1
χ955-5-52-1-12-211-200000000-11-1-111
χ1055-5-5-122-11-2-2100000000-11-1-111
χ118888-1-1-1-1-1-1-1-11−521+521−521+521−521+521−521+52000000
χ128888-1-1-1-1-1-1-1-11+521−521+521−521+521−521+521−52000000
χ1388-8-8-1-1-1-111111−521+521−521+52−1+52−1−52−1+52−1−52000000
χ1488-8-8-1-1-1-111111+521−521+521−52−1−52−1+52−1−52−1+52000000
χ158-88i−8i-1-111−ii−ii1−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000
χ168-88i−8i-1-111−ii−ii1+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000
χ178-8−8i8i-1-111i−ii−i1−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000
χ188-8−8i8i-1-111i−ii−i1+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000
χ19999900000000-1-1-1-1-1-1-1-1111111
χ2099-9-900000000-1-1-1-11111-1111-1-1
χ21101010101111111100000000-2-20000
χ221010-10-101111-1-1-1-1000000002-20000
χ2310-1010i−10i11-1-1i−ii−i00000000002−2i2−i2
χ2410-1010i−10i11-1-1i−ii−i0000000000−22−i2i2
χ2510-10−10i10i11-1-1−ii−ii00000000002−2−i2i2
χ2610-10−10i10i11-1-1−ii−ii0000000000−22i2−i2

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