Finite Group Databasebeta

← Group #11839

Character table — Group #11839

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222222222244444422244488888888444444
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-1-1-111-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-1-1-111-1-1-1-1-11-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-1-1-111-1-1-1-1-11-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-111-111-1-1-1-111-1111-1-111-1-111-1-11-11-11-1
χ101111-1-111-111-1-1-1-111-1111-1-1-1-111-1-1111-1-11-11
χ111111-1-111-111-1-1-1-111-1-1-111111-1-111-1-1-11-11-11
χ121111-1-111-111-1-1-1-111-1-1-1111-1-111-1-111-111-11-1
χ131111-1-111-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ141111-1-111-1-1-111-1-1-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ151111-1-111-1-1-111-1-1-1-11-1-1111ii−i−i−i−iii1-1−iii−i
χ161111-1-111-1-1-111-1-1-1-11-1-1111−i−iiiii−i−i1-1i−i−ii
χ1722222222222-2-2-2-2-2-2200-20000000000000000
χ18222222222-2-222-2-222-200-20000000000000000
χ192222-2-222-2222222-2-2-200-20000000000000000
χ202222-2-222-2-2-2-2-22222200-20000000000000000
χ2122-2-2002-202-22i−2i2i−2i00000000i2−i22−2i2−i22−2000000
χ2222-2-2002-202-22i−2i2i−2i00000000−i2i2−22−i2i2−22000000
χ2322-2-2002-202-2−2i2i−2i2i00000000i2−i2−22i2−i2−22000000
χ2422-2-2002-202-2−2i2i−2i2i00000000−i2i22−2−i2i22−2000000
χ2522-2-2002-20-222i−2i−2i2i000000002−2i2−i2−22−i2i2000000
χ2622-2-2002-20-222i−2i−2i2i00000000−22−i2i22−2i2−i2000000
χ2722-2-2002-20-22−2i2i2i−2i000000002−2−i2i2−22i2−i2000000
χ2822-2-2002-20-22−2i2i2i−2i00000000−22i2−i22−2−i2i2000000
χ29444444-4-4-40000000000000000000000000000
χ304444-4-4-4-440000000000000000000000000000
χ3144-4-400-4400000004i−4i00000000000000000000
χ3244-4-400-440000000−4i4i00000000000000000000
χ334-4-444-40000000000002-202-200000000000000
χ344-4-444-4000000000000-220-2200000000000000
χ354-4-44-440000000000002-20-2200000000000000
χ364-4-44-44000000000000-2202-200000000000000
χ378-88-8000000000000000000000000000000000

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