Finite Group Databasebeta

← Group #11757809

Character table — Group #11757809

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11133333999999999999999912121212121227272727272736363636363636363636363636363636
order1332336633333366991818181818183333336666663333333333339999
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ51111111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1−i3211−1+i32
χ61111111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321
χ71111111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ81111111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321
χ91111111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i3211−1−i32
χ1011111111−1+i32−1−i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+i32−1−i321−1+i321−1−i32−1+i32−1−i321−1+i321−1−i32−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i32
χ1111111111−1+i32−1−i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i321−1−i32−1−i321−1+i32−1−i32−1+i3211−1+i32−1−i321−1−i32−1+i321−1−i32−1+i321
χ1211111111−1+i32−1−i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i321−1−i321−1+i32−1−i321−1−i32−1+i32−1−i321−1+i32−1−i32−1+i321−1+i3211−1−i32
χ1311111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111111111111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111
χ1411111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i3211−1−i321−1+i321−1+i32−1+i321−1+i32−1+i32−1−i32−1−i32
χ1511111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1−i32−1+i32−1+i32
χ1611111111−1+i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32
χ1711111111−1+i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1+i321−1−i3211−1+i32−1−i32−1+i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32
χ1811111111−1+i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1−i32−1+i321−1+i32−1−i321
χ1911111111−1−i32−1+i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−i32−1+i321−1−i321−1+i32−1−i32−1+i321−1−i321−1+i32−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i32
χ2011111111−1−i32−1+i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i321−1+i321−1−i32−1+i321−1+i32−1−i32−1+i321−1−i32−1+i32−1−i321−1−i3211−1+i32
χ2111111111−1−i32−1+i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i321−1+i32−1+i321−1−i32−1+i32−1−i3211−1−i32−1+i321−1+i32−1−i321−1+i32−1−i321
χ2211111111−1−i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32
χ2311111111−1−i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1+i32−1−i321−1−i32−1+i321
χ2411111111−1−i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i321−1−i321−1+i3211−1−i32−1+i32−1−i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32
χ2511111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111111111111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111
χ2611111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1+i32−1−i32−1−i32
χ2711111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i3211−1+i321−1−i321−1−i32−1−i321−1−i32−1−i32−1+i32−1+i32
χ283333−3+3i32−3−3i3233000000−3+3i32−3−3i32000000003−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000
χ293333−3+3i32−3−3i3233000000−3+3i32−3−3i3200000000−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000
χ303333−3+3i32−3−3i3233000000−3+3i32−3−3i3200000000−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000000000
χ313333−3−3i32−3+3i3233000000−3−3i32−3+3i32000000003−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000
χ323333−3−3i32−3+3i3233000000−3−3i32−3+3i3200000000−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000000000
χ333333−3−3i32−3+3i3233000000−3−3i32−3+3i3200000000−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000
χ34333-133-1-1333333-1-133-1-1-1-1-1-1000000-1-1-1-1-1-10000000000000000
χ35333-133-1-133−3+3i32−3+3i32−3−3i32−3−3i32-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000-1-11−i321−i321+i321+i320000000000000000
χ36333-133-1-133−3−3i32−3−3i32−3+3i32−3+3i32-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000-1-11+i321+i321−i321−i320000000000000000
χ37333-133-1-1−3+3i32−3−3i323−3+3i323−3−3i32-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000001−i321+i32-11−i32-11+i320000000000000000
χ38333-133-1-1−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32-1-133-1-1-1-1-1-10000001−i321+i321−i321+i321+i321−i320000000000000000
χ39333-133-1-1−3+3i32−3−3i32−3−3i323−3+3i323-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000001−i321+i321+i32-11−i32-10000000000000000
χ40333-133-1-1−3−3i32−3+3i323−3−3i323−3+3i32-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000001+i321−i32-11+i32-11−i320000000000000000
χ41333-133-1-1−3−3i32−3+3i32−3+3i323−3−3i323-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000001+i321−i321−i32-11+i32-10000000000000000
χ42333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32-1-133-1-1-1-1-1-10000001+i321−i321+i321−i321−i321+i320000000000000000
χ43999-3−9+9i32−9−9i32-3-30000003−3i323+3i32000000000000000000000000000000000000
χ44999-3−9−9i32−9+9i32-3-30000003+3i323−3i32000000000000000000000000000000000000
χ459−9+9i32−9−9i32900−9+9i32−9−9i3200000000000000000000000000000000000000000000
χ469−9+9i32−9−9i32-3003−3i323+3i3200000000002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ50000000000000000000000000000
χ479−9+9i32−9−9i32-3003−3i323+3i3200000000002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ50000000000000000000000000000
χ489−9+9i32−9−9i32-3003−3i323+3i320000000000−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ50000000000000000000000000000
χ499−9−9i32−9+9i32900−9−9i32−9+9i3200000000000000000000000000000000000000000000
χ509−9−9i32−9+9i32-3003+3i323−3i3200000000004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ40000000000000000000000000000
χ519−9−9i32−9+9i32-3003+3i323−3i320000000000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ40000000000000000000000000000
χ529−9−9i32−9+9i32-3003+3i323−3i320000000000−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ40000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.