Finite Group Databasebeta

← Group #150893

Character table — Group #150893

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444224444444444488888888444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111-1-11-1-1-1-1111-1-11-11111iiii−i−i−i−iii−i−i-1-1
χ6111111111-1-11-1-1-1-1111-1-11-11111−i−i−i−iiiii−i−iii-1-1
χ7111111111-1-11-1-1-1-1111-1-11-1-1-1-1-1iiii−i−i−i−i−i−iii11
χ8111111111-1-11-1-1-1-1111-1-11-1-1-1-1-1−i−i−i−iiiiiii−i−i11
χ91111111-1-11111111-1-1-1-1-11-111-1-111-1-111-1-11-11-11-1
χ101111111-1-11111111-1-1-1-1-11-111-1-1-1-111-1-111-11-111-1
χ111111111-1-11111111-1-1-1-1-11-1-1-11111-1-111-1-1-11-11-11
χ121111111-1-11111111-1-1-1-1-11-1-1-111-1-111-1-1111-11-1-11
χ131111111-1-1-1-11-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiii−i−ii-11
χ141111111-1-1-1-11-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−iii−i-11
χ151111111-1-1-1-11-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−iii−i1-1
χ161111111-1-1-1-11-1-1-1-1-1-1-11111-1-111−i−iiiii−i−ii−i−ii1-1
χ1722222222222222-2-2-2-2222-2-2000000000000000000
χ18222222222-2-22-2-222-2-22-2-2-22000000000000000000
χ192222222-2-222222-2-222-2-2-2-22000000000000000000
χ202222222-2-2-2-22-2-22222-222-2-2000000000000000000
χ2122-2-22-220000-2002-22-202-20000002−22−22−22−2000000
χ2222-2-22-220000-2002-22-202-2000000−22−22−22−22000000
χ2322-2-22-220000-2002-2-220-220000002−2−222−2−22000000
χ2422-2-22-220000-2002-2-220-22000000−222−2−222−2000000
χ2522-2-22-220000-200-222-20-22000000i2−i2i2−i2−i2i2−i2i2000000
χ2622-2-22-220000-200-222-20-22000000−i2i2−i2i2i2−i2i2−i2000000
χ2722-2-22-220000-200-22-2202-2000000i2−i2−i2i2−i2i2i2−i2000000
χ2822-2-22-220000-200-22-2202-2000000−i2i2i2−i2i2−i2−i2i2000000
χ29444444-44400-4000000-40000000000000000000000
χ30444444-4-4-400-400000040000000000000000000000
χ314444-4-404-4000000000000002-22-200000000000000
χ324444-4-404-400000000000000-22-2200000000000000
χ334444-4-40-44000000000000002-2-2200000000000000
χ344444-4-40-4400000000000000-222-200000000000000
χ3544-4-44-4-4004i−4i44i−4i000000000000000000000000000
χ3644-4-44-4-400−4i4i4−4i4i000000000000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8000004i−4i0−4i4i000000000000000000000000000
χ398-88-800000−4i4i04i−4i000000000000000000000000000
χ408-8-8800000440-4-4000000000000000000000000000
χ418-8-8800000-4-4044000000000000000000000000000

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