Finite Group Databasebeta

← Group #1087

Character table — Group #1087

Order 108.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11133333333111333333331113333333311133333333
order1333399999941212121236363636363626666181818181818412121212363636363636
χ111111111111111111111111111111111111111111111
χ211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ5111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ6111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ7111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ8111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ9111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ103−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000
χ113−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000
χ1211111111111iiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32iiiiiζ7ζ7ζ7ζ11ζ11ζ11-1-1-1-1-11−i321−i321−i321+i321+i321+i32−i−i−i−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11
χ1411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32iiiiiζ11ζ11ζ11ζ7ζ7ζ7-1-1-1-1-11+i321+i321+i321−i321−i321−i32−i−i−i−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7
χ15111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32iiiζ7ζ11iζ7ζ11iζ7ζ11-1-1-11−i321+i32-11−i321+i32-11−i321+i32−i−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11
χ16111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32iiiζ7ζ11ζ7ζ11iζ11iζ7-1-1-11−i321+i321−i321+i32-11+i32-11−i32−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ11−i−ζ7
χ17111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321iiiζ7ζ11ζ11iζ7ζ7ζ11i-1-1-11−i321+i321+i32-11−i321−i321+i32-1−i−i−i−ζ7−ζ11−ζ11−i−ζ7−ζ7−ζ11−i
χ18111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32iiiζ11ζ7iζ11ζ7iζ11ζ7-1-1-11+i321−i32-11+i321−i32-11+i321−i32−i−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
χ19111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321iiiζ11ζ7ζ7iζ11ζ11ζ7i-1-1-11+i321−i321−i32-11+i321+i321−i32-1−i−i−i−ζ11−ζ7−ζ7−i−ζ11−ζ11−ζ7−i
χ20111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32iiiζ11ζ7ζ11ζ7iζ7iζ11-1-1-11+i321−i321+i321−i32-11−i32-11+i32−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11
χ213−3+3i32−3−3i32000000003i3ζ73ζ1100000000-33−3i323+3i3200000000−3i−3ζ7−3ζ1100000000
χ223−3−3i32−3+3i32000000003i3ζ113ζ700000000-33+3i323−3i3200000000−3i−3ζ11−3ζ700000000
χ2311111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ2411111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ26111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ27111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ28111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ29111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ30111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ31111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ323−3+3i32−3−3i3200000000-33−3i323+3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000
χ333−3−3i32−3+3i3200000000-33+3i323−3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000
χ3411111111111−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiii
χ3511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−i−i−i−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11-1-1-1-1-11−i321−i321−i321+i321+i321+i32iiiiiζ7ζ7ζ7ζ11ζ11ζ11
χ3611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−i−i−i−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7-1-1-1-1-11+i321+i321+i321−i321−i321−i32iiiiiζ11ζ11ζ11ζ7ζ7ζ7
χ37111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-1-11−i321+i32-11−i321+i32-11−i321+i32iiiζ7ζ11iζ7ζ11iζ7ζ11
χ38111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−i−i−i−ζ7−ζ11−ζ7−ζ11−i−ζ11−i−ζ7-1-1-11−i321+i321−i321+i32-11+i32-11−i32iiiζ7ζ11ζ7ζ11iζ11iζ7
χ39111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−i−i−i−ζ7−ζ11−ζ11−i−ζ7−ζ7−ζ11−i-1-1-11−i321+i321+i32-11−i321−i321+i32-1iiiζ7ζ11ζ11iζ7ζ7ζ11i
χ40111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-1-11+i321−i32-11+i321−i32-11+i321−i32iiiζ11ζ7iζ11ζ7iζ11ζ7
χ41111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−i−i−i−ζ11−ζ7−ζ7−i−ζ11−ζ11−ζ7−i-1-1-11+i321−i321−i32-11+i321+i321−i32-1iiiζ11ζ7ζ7iζ11ζ11ζ7i
χ42111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−i−i−i−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11-1-1-11+i321−i321+i321−i32-11−i32-11+i32iiiζ11ζ7ζ11ζ7iζ7iζ11
χ433−3+3i32−3−3i3200000000−3i−3ζ7−3ζ1100000000-33−3i323+3i32000000003i3ζ73ζ1100000000
χ443−3−3i32−3+3i3200000000−3i−3ζ11−3ζ700000000-33+3i323−3i32000000003i3ζ113ζ700000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.