Finite Group Databasebeta

← Group #20003

Character table — Group #20003

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888444444444888888882244888888882244
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111111111-11-11111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111-11-11-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-11-11-1
χ6111111111111-1-1-1-11111-1-111111-1-1-1-1-1-11-111-1-1-1-1-1-111-11-11
χ7111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-11-1-1111111-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111-1-1111-11-1
χ911111111-1-1-1-1111111-1-111111-1-111-1-1-1-111-1111-1-1-1-1-1-1-111-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-11-1-1-111-1-111111-1-11
χ1111111111-1-1-1-11111-1-11111111-1-111-1-1-1-1-1111-1-111-1-1-1-11-1-11
χ1211111111-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-1-11-1-1-1111111-111-1
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-11-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-111-111-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ17222222-2-20000222200002222-200-2-200000-20-2000000000000
χ18222222-2-2000022220000-2-2-2-2-200-2-200000202000000000000
χ19222222-2-20000-2-2-2-2000022-2-2-2002200000-202000000000000
χ20222222-2-20000-2-2-2-20000-2-222-200220000020-2000000000000
χ212222-2-2222222000022220000-2-2-2000000-20-20000000000000
χ222222-2-22222220000-2-2-2-20000-2-2-20000002020000000000000
χ232222-2-222-2-2-2-2000022-2-20000-222000000-2020000000000000
χ242222-2-222-2-2-2-20000-2-2220000-22200000020-20000000000000
χ2522-2-2002-22i2i−2i−2ii2i2−i2−i22i−2i2-20000000i2−i222−2−200002−2i2−i200000000
χ2622-2-2002-22i2i−2i−2ii2i2−i2−i2−2i2i-220000000i2−i222−2−20000−22−i2i200000000
χ2722-2-2002-22i2i−2i−2i−i2−i2i2i22i−2i2-20000000−i2i2−2−2220000−22−i2i200000000
χ2822-2-2002-22i2i−2i−2i−i2−i2i2i2−2i2i-220000000−i2i2−2−22200002−2i2−i200000000
χ2922-2-2002-2−2i−2i2i2ii2i2−i2−i22i−2i-220000000i2−i2−2−22200002−2−i2i200000000
χ3022-2-2002-2−2i−2i2i2ii2i2−i2−i2−2i2i2-20000000i2−i2−2−2220000−22i2−i200000000
χ3122-2-2002-2−2i−2i2i2i−i2−i2i2i22i−2i-220000000−i2i222−2−20000−22i2−i200000000
χ3222-2-2002-2−2i−2i2i2i−i2−i2i2i2−2i2i2-20000000−i2i222−2−200002−2−i2i200000000
χ332-22-22-200i2−i2i2−i22i−2i2i−2i00002i−2i2-20i2−i2002−22−2000000002−2i2−i20000
χ342-22-22-200i2−i2i2−i22i−2i2i−2i0000−2i2i-220i2−i2002−22−200000000−22−i2i20000
χ352-22-22-200i2−i2i2−i2−2i2i−2i2i00002i−2i-220i2−i200−22−22000000002−2−i2i20000
χ362-22-22-200i2−i2i2−i2−2i2i−2i2i0000−2i2i2-20i2−i200−22−2200000000−22i2−i20000
χ372-22-22-200−i2i2−i2i22i−2i2i−2i00002i−2i2-20−i2i200−22−2200000000−22−i2i20000
χ382-22-22-200−i2i2−i2i22i−2i2i−2i0000−2i2i-220−i2i200−22−22000000002−2i2−i20000
χ392-22-22-200−i2i2−i2i2−2i2i−2i2i00002i−2i-220−i2i2002−22−200000000−22i2−i20000
χ402-22-22-200−i2i2−i2i2−2i2i−2i2i0000−2i2i2-20−i2i2002−22−2000000002−2−i2i20000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-400-4400002i22i2−2i2−2i200000000000−2i22i200000000000000000000
χ4344-4-400-440000−2i2−2i22i22i2000000000002i2−2i200000000000000000000
χ444-44-4-44002i2−2i22i2−2i20000000000000−2i22i20000000000000000000000
χ454-44-4-4400−2i22i2−2i22i200000000000002i2−2i20000000000000000000000
χ464-4-44000022−22−222222−22−222200000000000002-2-220000000000000000
χ474-4-44000022−22−2222−222222−220000000000000-222-20000000000000000
χ484-4-440000−222222−2222−22−22220000000000000-222-20000000000000000
χ494-4-440000−222222−22−222222−2200000000000002-2-220000000000000000

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