Finite Group Databasebeta

← Group #14511713

Character table — Group #14511713

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size134121224242424323226824244848484864642682424484848486464515206060120120120120160160
order1222444443651010102020202020153051010102020202020153022224444466
χ111111111111111111111111111111111111111111111
χ211111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111
χ311-1-11i−ii−i1-111-1-11i−ii−i1-111-1-11i−ii−i1-111-1-11i−ii−i1-1
χ411-1-11−ii−ii1-111-1-11−ii−ii1-111-1-11−ii−ii1-111-1-11−ii−ii1-1
χ5222220000-1-1222220000-1-1222220000-1-1222220000-1-1
χ622-2-220000-1122-2-220000-1122-2-220000-1122-2-220000-11
χ7333-1-111-1-100333-1-111-1-100333-1-111-1-100333-1-111-1-100
χ8333-1-1-1-11100333-1-1-1-11100333-1-1-1-11100333-1-1-1-11100
χ933-31-1i−i−ii0033-31-1i−i−ii0033-31-1i−i−ii0033-31-1i−i−ii00
χ1033-31-1−iii−i0033-31-1−iii−i0033-31-1−iii−i0033-31-1−iii−i00
χ1112-400000000012-400000000012-400000000012-4000000000
χ12111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1311111-1-1-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1
χ1411-1-11i−ii−i1-111-1-11i−ii−i1-111-1-11i−ii−i1-1-1-111-1−ii−ii-11
χ1511-1-11−ii−ii1-111-1-11−ii−ii1-111-1-11−ii−ii1-1-1-111-1i−ii−i-11
χ16222220000-1-1222220000-1-1222220000-1-1-2-2-2-2-2000011
χ1722-2-220000-1122-2-220000-1122-2-220000-11-2-222-200001-1
χ18333-1-111-1-100333-1-111-1-100333-1-111-1-100-3-3-311-1-11100
χ19333-1-1-1-11100333-1-1-1-11100333-1-1-1-11100-3-3-31111-1-100
χ2033-31-1i−i−ii0033-31-1i−i−ii0033-31-1i−i−ii00-3-33-11−iii−i00
χ2133-31-1−iii−i0033-31-1−iii−i0033-31-1−iii−i00-3-33-11i−i−ii00
χ2212-400000000012-400000000012-4000000000-124000000000
χ2322222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000
χ2422222-2-2-2-222−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−5200000000000
χ2522-2-222i−2i2i−2i2-2−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1+521−52−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1−521+5200000000000
χ2622-2-22−2i2i−2i2i2-2−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+5200000000000
χ27444440000-2-2−1+5−1+5−1+5−1+5−1+500001−521−52−1−5−1−5−1−5−1−5−1−500001+521+5200000000000
χ2844-4-440000-22−1+5−1+51−51−5−1+500001−52−1+52−1−5−1−51+51+5−1−500001+52−1−5200000000000
χ29666-2-222-2-200−3+352−3+352−3+3521−521−52−1+52−1+521−521−5200−3−352−3−352−3−3521+521+52−1−52−1−521+521+520000000000000
χ30666-2-2-2-22200−3+352−3+352−3+3521−521−521−521−52−1+52−1+5200−3−352−3−352−3−3521+521+521+521+52−1−52−1−520000000000000
χ3166-62-22i−2i−2i2i00−3+352−3+3523−352−1+521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900−3−352−3−3523+352−1−521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ70000000000000
χ3266-62-2−2i2i2i−2i00−3+352−3+3523−352−1+521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900−3−352−3−3523+352−1−521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ70000000000000
χ3324-8000000000−6+652−25000000000−6−652+2500000000000000000000
χ3422222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000
χ3522222-2-2-2-222−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+5200000000000
χ3622-2-222i−2i2i−2i2-2−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1−521+52−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1+521−5200000000000
χ3722-2-22−2i2i−2i2i2-2−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−5200000000000
χ38444440000-2-2−1−5−1−5−1−5−1−5−1−500001+521+52−1+5−1+5−1+5−1+5−1+500001−521−5200000000000
χ3944-4-440000-22−1−5−1−51+51+5−1−500001+52−1−52−1+5−1+51−51−5−1+500001−52−1+5200000000000
χ40666-2-222-2-200−3−352−3−352−3−3521+521+52−1−52−1−521+521+5200−3+352−3+352−3+3521−521−52−1+52−1+521−521−520000000000000
χ41666-2-2-2-22200−3−352−3−352−3−3521+521+521+521+52−1−52−1−5200−3+352−3+352−3+3521−521−521−521−52−1+52−1+520000000000000
χ4266-62-22i−2i−2i2i00−3−352−3−3523+352−1−521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ700−3+352−3+3523−352−1+521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ190000000000000
χ4366-62-2−2i2i2i−2i00−3−352−3−3523+352−1−521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ700−3+352−3+3523−352−1+521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ190000000000000
χ4424-8000000000−6−652+25000000000−6+652−2500000000000000000000

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