Finite Group Databasebeta

← Group #91879

Character table — Group #91879

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111121212121212121220202020303011111212121212121212202020203030
order124455101020202020361212242244101010102020202066121224
χ1111111111111111111111111111111111111
χ211-1-11111-1-1-1-111-1-1-1111-1-11111-1-1-1-111-1-1-11
χ32-22i−2i−1+52−1−521−521+52ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19-11i−i002-22i−2i−1+52−1−521−521+52ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19-11i−i00
χ42-22i−2i−1−52−1+521+521−52ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7-11i−i002-22i−2i−1−52−1+521+521−52ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7-11i−i00
χ52-2−2i2i−1+52−1−521−521+52−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19-11−ii002-2−2i2i−1+52−1−521−521+52−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19-11−ii00
χ62-2−2i2i−1−52−1+521+521−52−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7-11−ii002-2−2i2i−1−52−1+521+521−52−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7-11−ii00
χ733331−521+521−521+521+521+521−521−520000-1-133331−521+521−521+521+521+521−521−520000-1-1
χ833331+521−521+521−521−521−521+521+520000-1-133331+521−521+521−521−521−521+521+520000-1-1
χ933-3-31−521+521−521+52−1−52−1−52−1+52−1+5200001-133-3-31−521+521−521+52−1−52−1−52−1+52−1+5200001-1
χ1033-3-31+521−521+521−52−1+52−1+52−1−52−1−5200001-133-3-31+521−521+521−52−1+52−1+52−1−52−1−5200001-1
χ114444-1-1-1-1-1-1-1-11111004444-1-1-1-1-1-1-1-1111100
χ1244-4-4-1-1-1-1111111-1-10044-4-4-1-1-1-1111111-1-100
χ134-44i−4i-1-111i−i−ii1-1−ii004-44i−4i-1-111i−i−ii1-1−ii00
χ144-4−4i4i-1-111−iii−i1-1i−i004-4−4i4i-1-111−iii−i1-1i−i00
χ15555500000000-1-1-1-111555500000000-1-1-1-111
χ1655-5-500000000-1-111-1155-5-500000000-1-111-11
χ176-66i−6i11-1-1−iii−i0000006-66i−6i11-1-1−iii−i000000
χ186-6−6i6i11-1-1i−i−ii0000006-6−6i6i11-1-1i−i−ii000000
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011-1-11111-1-1-1-111-1-1-11-1-111-1-1-1-11111-1-1111-1
χ212-22i−2i−1+52−1−521−521+52ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19-11i−i00-22−2i2i1−521+52−1+52−1−52−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ191-1−ii00
χ222-22i−2i−1−52−1+521+521−52ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7-11i−i00-22−2i2i1+521−52−1−52−1+52−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ71-1−ii00
χ232-2−2i2i−1+52−1−521−521+52−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19-11−ii00-222i−2i1−521+52−1+52−1−52ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ191-1i−i00
χ242-2−2i2i−1−52−1+521+521−52−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7-11−ii00-222i−2i1+521−52−1−52−1+52ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ71-1i−i00
χ2533331−521+521−521+521+521+521−521−520000-1-1-3-3-3-3−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52000011
χ2633331+521−521+521−521−521−521+521+520000-1-1-3-3-3-3−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52000011
χ2733-3-31−521+521−521+52−1−52−1−52−1+52−1+5200001-1-3-333−1+52−1−52−1+52−1−521+521+521−521−520000-11
χ2833-3-31+521−521+521−52−1+52−1+52−1−52−1−5200001-1-3-333−1−52−1+52−1−52−1+521−521−521+521+520000-11
χ294444-1-1-1-1-1-1-1-1111100-4-4-4-411111111-1-1-1-100
χ3044-4-4-1-1-1-1111111-1-100-4-4441111-1-1-1-1-1-11100
χ314-44i−4i-1-111i−i−ii1-1−ii00-44−4i4i11-1-1−iii−i-11i−i00
χ324-4−4i4i-1-111−iii−i1-1i−i00-444i−4i11-1-1i−i−ii-11−ii00
χ33555500000000-1-1-1-111-5-5-5-5000000001111-1-1
χ3455-5-500000000-1-111-11-5-5550000000011-1-11-1
χ356-66i−6i11-1-1−iii−i000000-66−6i6i-1-111i−i−ii000000
χ366-6−6i6i11-1-1i−i−ii000000-666i−6i-1-111−iii−i000000

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