Finite Group Databasebeta

← Group #13088279

Character table — Group #13088279

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size1404045727290140404572729014040457272901404045727290
order13325544121242020426621010441212420204
χ11111111111111111111111111111
χ252-1100-152-1100-152-1100-152-1100-1
χ35-12100-15-12100-15-12100-15-12100-1
χ48-1-101−521+5208-1-101−521+5208-1-101−521+5208-1-101−521+520
χ58-1-101+521−5208-1-101+521−5208-1-101+521−5208-1-101+521−520
χ69001-1-119001-1-119001-1-119001-1-11
χ71011-20001011-20001011-20001011-2000
χ81111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i
χ952-1100-15i2i−ii00−i-5-21-1001−5i−2ii−i00i
χ105-12100-15i−i2ii00−i-51-2-1001−5ii−2i−i00i
χ118-1-101−521+5208i−i−i0ζ11+ζ19ζ3+ζ70-8110−1+52−1−520−8iii0−ζ11−ζ19−ζ3−ζ70
χ128-1-101+521−5208i−i−i0ζ3+ζ7ζ11+ζ190-8110−1−52−1+520−8iii0−ζ3−ζ7−ζ11−ζ190
χ139001-1-119i00i−i−ii-900-111-1−9i00−iii−i
χ141011-200010iii−2i000-10-1-12000−10i−i−i2i000
χ151111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ1652-1100-1-5-21-100152-1100-1-5-21-1001
χ175-12100-1-51-2-10015-12100-1-51-2-1001
χ188-1-101−521+520-8110−1+52−1−5208-1-101−521+520-8110−1+52−1−520
χ198-1-101+521−520-8110−1−52−1+5208-1-101+521−520-8110−1−52−1+520
χ209001-1-11-900-111-19001-1-11-900-111-1
χ211011-2000-10-1-120001011-2000-10-1-12000
χ221111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii
χ2352-1100-1−5i−2ii−i00i-5-21-10015i2i−ii00−i
χ245-12100-1−5ii−2i−i00i-51-2-10015i−i2ii00−i
χ258-1-101−521+520−8iii0−ζ11−ζ19−ζ3−ζ70-8110−1+52−1−5208i−i−i0ζ11+ζ19ζ3+ζ70
χ268-1-101+521−520−8iii0−ζ3−ζ7−ζ11−ζ190-8110−1−52−1+5208i−i−i0ζ3+ζ7ζ11+ζ190
χ279001-1-11−9i00−iii−i-900-111-19i00i−i−ii
χ281011-2000−10i−i−i2i000-10-1-1200010iii−2i000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.