Finite Group Databasebeta

← Group #150474

Character table — Group #150474

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112222244444888888888816161616161616161616161616323232323232
order122448822248244888888844444444488888816161616
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-11-1111-1-1-1-1-11111ii−i−iii−i−i-1-1ii−i−i
χ6111111111111-11-1111-1-1-1-1-11111−i−iii−i−iii-1-1−i−iii
χ7111111111111-11-1111-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−i−iii
χ8111111111111-11-1111-1-1-1-1-1-1-1-1-1−i−iii−i−iii11ii−i−i
χ911111-1-11-1-11-11-1111-1-1-111-111-1-11111-1-1-1-11-11-11-1
χ1011111-1-11-1-11-11-1111-1-1-111-111-1-1-1-1-1-111111-1-11-11
χ1111111-1-11-1-11-11-1111-1-1-111-1-1-1111111-1-1-1-1-11-11-11
χ1211111-1-11-1-11-11-1111-1-1-111-1-1-111-1-1-1-11111-111-11-1
χ1311111-1-11-1-11-1-1-1-111-111-1-1111-1-1ii−i−i−i−iii-11i−i−ii
χ1411111-1-11-1-11-1-1-1-111-111-1-1111-1-1−i−iiiii−i−i-11−iii−i
χ1511111-1-11-1-11-1-1-1-111-111-1-11-1-111ii−i−i−i−iii1-1−iii−i
χ1611111-1-11-1-11-1-1-1-111-111-1-11-1-111−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-2222-22-2-2222-2-2-2000000000000000000
χ1822222222-2-222-2-2-2-2-22-2-2222000000000000000000
χ1922222-2-22222-2222-2-2-2-2-2-2-22000000000000000000
χ2022222-2-22222-2-22-2-2-2-22222-2000000000000000000
χ21222-2-200222-200-200002i−2i2i−2i000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ22222-2-200222-200-200002i−2i2i−2i00000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ23222-2-200222-200-20000−2i2i−2i2i000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ24222-2-200222-200-20000−2i2i−2i2i00000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ25222-2-2002-2-2-200200002i−2i−2i2i000001−i−1+i1+i−1−i−1+i1−i−1−i1+i000000
χ26222-2-2002-2-2-200200002i−2i−2i2i00000−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000
χ27222-2-2002-2-2-20020000−2i2i2i−2i000001+i−1−i1−i−1+i−1−i1+i−1+i1−i000000
χ28222-2-2002-2-2-20020000−2i2i2i−2i00000−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000
χ294444444-400-4400000-400000000000000000000000
χ3044444-4-4-400-4-400000400000000000000000000000
χ31444-4-400-4004040-400000000000000000000000000
χ32444-4-400-40040-40400000000000000000000000000
χ3344-4-44440000-4000000000002i−2i2i−2i00000000000000
χ3444-4-44440000-400000000000−2i2i−2i2i00000000000000
χ3544-4-44-4-400004000000000002i−2i−2i2i00000000000000
χ3644-4-44-4-40000400000000000−2i2i2i−2i00000000000000
χ3788-88-8000000000000000000000000000000000000
χ388-80004i2−4i204-4000002i2−2i2000000000000000000000000
χ398-80004i2−4i20-4400000−2i22i2000000000000000000000000
χ408-8000−4i24i204-400000−2i22i2000000000000000000000000
χ418-8000−4i24i20-44000002i2−2i2000000000000000000000000

Here i is the imaginary unit (i² = −1).