Finite Group Databasebeta

← Group #20005

Character table — Group #20005

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888444444444888888882444888888882444
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-11-1-111-1-1-1-1111-1-1-1-1-111-1-11-11-1
χ6111111111111-1-1-1-11111-1-1111-1-111-1-1-1-111-11-1-1-1-1-1-111-11-11
χ7111111111111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-11-1111111-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-111111-1-1111-11-1
χ911111111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111
χ1011111111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1111111-1-1
χ1111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1
χ1211111111-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-111
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11111-111-1-1-111-1-111-111-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-11-11-1-11111-1-11-1-11
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111111-11-111-1-1-1-1111-1-11
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1111-1-111-1-1-111-1
χ1722222-2-222222000022220000-200-2-20000-2-200000000000000
χ1822222-2-2222220000-2-2-2-20000-200-2-200002200000000000000
χ1922222-2-22-2-2-2-2000022-2-20000-2002200002-200000000000000
χ2022222-2-22-2-2-2-20000-2-2220000-200220000-2200000000000000
χ212222-222-20000222200002222-2-2-200000000-2-2000000000000
χ222222-222-2000022220000-2-2-2-2-2-2-20000000022000000000000
χ232222-222-20000-2-2-2-2000022-2-2-22200000000-22000000000000
χ242222-222-20000-2-2-2-20000-2-222-222000000002-2000000000000
χ2522-2-2-20022i2i−2i−2i22−2−22-22i−2i000002−200i2i2−i2−i200002−2i2−i200000000
χ2622-2-2-20022i2i−2i−2i22−2−2-22−2i2i000002−200i2i2−i2−i20000−22−i2i200000000
χ2722-2-2-20022i2i−2i−2i−2−2222-22i−2i00000−2200−i2−i2i2i20000−22−i2i200000000
χ2822-2-2-20022i2i−2i−2i−2−222-22−2i2i00000−2200−i2−i2i2i200002−2i2−i200000000
χ2922-2-2-2002−2i−2i2i2i22−2−22-2−2i2i000002−200−i2−i2i2i200002−2−i2i200000000
χ3022-2-2-2002−2i−2i2i2i22−2−2-222i−2i000002−200−i2−i2i2i20000−22i2−i200000000
χ3122-2-2-2002−2i−2i2i2i−2−2222-2−2i2i00000−2200i2i2−i2−i20000−22i2−i200000000
χ3222-2-2-2002−2i−2i2i2i−2−222-222i−2i00000−2200i2i2−i2−i200002−2−i2i200000000
χ332-22-202-20i2−i2i2−i22i−2i2i−2i00002-22i−2i000i2−i22−22−200000000i2−i22−20000
χ342-22-202-20i2−i2i2−i22i−2i2i−2i0000-22−2i2i000i2−i22−22−200000000−i2i2−220000
χ352-22-202-20i2−i2i2−i2−2i2i−2i2i00002-2−2i2i000i2−i2−22−2200000000i2−i2−220000
χ362-22-202-20i2−i2i2−i2−2i2i−2i2i0000-222i−2i000i2−i2−22−2200000000−i2i22−20000
χ372-22-202-20−i2i2−i2i22i−2i2i−2i00002-22i−2i000−i2i2−22−2200000000−i2i2−220000
χ382-22-202-20−i2i2−i2i22i−2i2i−2i0000-22−2i2i000−i2i2−22−2200000000i2−i22−20000
χ392-22-202-20−i2i2−i2i2−2i2i−2i2i00002-2−2i2i000−i2i22−22−200000000−i2i22−20000
χ402-22-202-20−i2i2−i2i2−2i2i−2i2i0000-222i−2i000−i2i22−22−200000000i2−i2−220000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-4400-400002222−22−22000000000−22220000000000000000000000
χ4344-4-4400-40000−22−22222200000000022−220000000000000000000000
χ444-44-40-4402i2−2i22i2−2i2000000000000000−2i22i200000000000000000000
χ454-44-40-440−2i22i2−2i22i20000000000000002i2−2i200000000000000000000
χ464-4-44000022−22−22222i2−2i2−2i22i20000000000000−2i2i2i−2i0000000000000000
χ474-4-44000022−22−2222−2i22i22i2−2i200000000000002i−2i−2i2i0000000000000000
χ484-4-440000−222222−222i2−2i2−2i22i200000000000002i−2i−2i2i0000000000000000
χ494-4-440000−222222−22−2i22i22i2−2i20000000000000−2i2i2i−2i0000000000000000

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