Finite Group Databasebeta

← Group #91878

Character table — Group #91878

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size112121520112121520112121520112121520112121520112121520112121520112121520
order1552342020412210102642020412210102642020412210102642020412
χ11111111111111111111111111111111111111111
χ231−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-10
χ331+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-10
χ44-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-101
χ55001-15001-15001-15001-15001-15001-15001-15001-1
χ611111iiiii-1-1-1-1-1−i−i−i−i−i11111iiiii-1-1-1-1-1−i−i−i−i−i
χ731−521+52-103iζ11+ζ19ζ3+ζ7−i0-3−1+52−1−5210−3i−ζ11−ζ19−ζ3−ζ7i031−521+52-103iζ11+ζ19ζ3+ζ7−i0-3−1+52−1−5210−3i−ζ11−ζ19−ζ3−ζ7i0
χ831+521−52-103iζ3+ζ7ζ11+ζ19−i0-3−1−52−1+5210−3i−ζ3−ζ7−ζ11−ζ19i031+521−52-103iζ3+ζ7ζ11+ζ19−i0-3−1−52−1+5210−3i−ζ3−ζ7−ζ11−ζ19i0
χ94-1-1014i−i−i0i-4110-1−4iii0−i4-1-1014i−i−i0i-4110-1−4iii0−i
χ105001-15i00i−i-500-11−5i00−ii5001-15i00i−i-500-11−5i00−ii
χ1111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1
χ1231−521+52-10-3−1+52−1−521031−521+52-10-3−1+52−1−521031−521+52-10-3−1+52−1−521031−521+52-10-3−1+52−1−5210
χ1331+521−52-10-3−1−52−1+521031+521−52-10-3−1−52−1+521031+521−52-10-3−1−52−1+521031+521−52-10-3−1−52−1+5210
χ144-1-101-4110-14-1-101-4110-14-1-101-4110-14-1-101-4110-1
χ155001-1-500-115001-1-500-115001-1-500-115001-1-500-11
χ1611111−i−i−i−i−i-1-1-1-1-1iiiii11111−i−i−i−i−i-1-1-1-1-1iiiii
χ1731−521+52-10−3i−ζ11−ζ19−ζ3−ζ7i0-3−1+52−1−52103iζ11+ζ19ζ3+ζ7−i031−521+52-10−3i−ζ11−ζ19−ζ3−ζ7i0-3−1+52−1−52103iζ11+ζ19ζ3+ζ7−i0
χ1831+521−52-10−3i−ζ3−ζ7−ζ11−ζ19i0-3−1−52−1+52103iζ3+ζ7ζ11+ζ19−i031+521−52-10−3i−ζ3−ζ7−ζ11−ζ19i0-3−1−52−1+52103iζ3+ζ7ζ11+ζ19−i0
χ194-1-101−4iii0−i-4110-14i−i−i0i4-1-101−4iii0−i-4110-14i−i−i0i
χ205001-1−5i00−ii-500-115i00i−i5001-1−5i00−ii-500-115i00i−i
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2231−521+52-1031−521+52-1031−521+52-1031−521+52-10-3−1+52−1−5210-3−1+52−1−5210-3−1+52−1−5210-3−1+52−1−5210
χ2331+521−52-1031+521−52-1031+521−52-1031+521−52-10-3−1−52−1+5210-3−1−52−1+5210-3−1−52−1+5210-3−1−52−1+5210
χ244-1-1014-1-1014-1-1014-1-101-4110-1-4110-1-4110-1-4110-1
χ255001-15001-15001-15001-1-500-11-500-11-500-11-500-11
χ2611111iiiii-1-1-1-1-1−i−i−i−i−i-1-1-1-1-1−i−i−i−i−i11111iiiii
χ2731−521+52-103iζ11+ζ19ζ3+ζ7−i0-3−1+52−1−5210−3i−ζ11−ζ19−ζ3−ζ7i0-3−1+52−1−5210−3i−ζ11−ζ19−ζ3−ζ7i031−521+52-103iζ11+ζ19ζ3+ζ7−i0
χ2831+521−52-103iζ3+ζ7ζ11+ζ19−i0-3−1−52−1+5210−3i−ζ3−ζ7−ζ11−ζ19i0-3−1−52−1+5210−3i−ζ3−ζ7−ζ11−ζ19i031+521−52-103iζ3+ζ7ζ11+ζ19−i0
χ294-1-1014i−i−i0i-4110-1−4iii0−i-4110-1−4iii0−i4-1-1014i−i−i0i
χ305001-15i00i−i-500-11−5i00−ii-500-11−5i00−ii5001-15i00i−i
χ3111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111
χ3231−521+52-10-3−1+52−1−521031−521+52-10-3−1+52−1−5210-3−1+52−1−521031−521+52-10-3−1+52−1−521031−521+52-10
χ3331+521−52-10-3−1−52−1+521031+521−52-10-3−1−52−1+5210-3−1−52−1+521031+521−52-10-3−1−52−1+521031+521−52-10
χ344-1-101-4110-14-1-101-4110-1-4110-14-1-101-4110-14-1-101
χ355001-1-500-115001-1-500-11-500-115001-1-500-115001-1
χ3611111−i−i−i−i−i-1-1-1-1-1iiiii-1-1-1-1-1iiiii11111−i−i−i−i−i
χ3731−521+52-10−3i−ζ11−ζ19−ζ3−ζ7i0-3−1+52−1−52103iζ11+ζ19ζ3+ζ7−i0-3−1+52−1−52103iζ11+ζ19ζ3+ζ7−i031−521+52-10−3i−ζ11−ζ19−ζ3−ζ7i0
χ3831+521−52-10−3i−ζ3−ζ7−ζ11−ζ19i0-3−1−52−1+52103iζ3+ζ7ζ11+ζ19−i0-3−1−52−1+52103iζ3+ζ7ζ11+ζ19−i031+521−52-10−3i−ζ3−ζ7−ζ11−ζ19i0
χ394-1-101−4iii0−i-4110-14i−i−i0i-4110-14i−i−i0i4-1-101−4iii0−i
χ405001-1−5i00−ii-500-115i00i−i-500-115i00i−i5001-1−5i00−ii

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