Finite Group Databasebeta

← Group #20004

Character table — Group #20004

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888444444444888888882444888888882244
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111-111-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-11-1-111-1-1-1-111-11-1-1-1-111-1-11-11-1
χ6111111111111-1-1-1-11111-1-1111-1-111-1-1-1-11-111-1-1-1-1-1-111-11-11
χ7111111111111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-11-1-1111111-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-11111-1-1111-11-1
χ911111111-1-1-1-1111111-1-11111111-1-1-1-1-1-1111-111-1-1-1-1-1-11-1-11
χ1011111111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-111-1-11111-111-1
χ1111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1
χ1211111111-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-11111111-1-11
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111111-11-1-1-11111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-11-1111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1722222-2-222222000022220000-200-2-20000-200-2000000000000
χ1822222-2-2222220000-2-2-2-20000-200-2-200002002000000000000
χ1922222-2-22-2-2-2-2000022-2-20000-200220000-2002000000000000
χ2022222-2-22-2-2-2-20000-2-2220000-200220000200-2000000000000
χ212222-222-20000222200002222-2-2-20000000-2-20000000000000
χ222222-222-2000022220000-2-2-2-2-2-2-20000000220000000000000
χ232222-222-20000-2-2-2-2000022-2-2-2220000000-220000000000000
χ242222-222-20000-2-2-2-20000-2-222-22200000002-20000000000000
χ2522-2-202-20i2i2−i2−i22i2i−2i−2i00002-22i−2i000i2−i222−2−200000000i2−i22−20000
χ2622-2-202-20i2i2−i2−i22i2i−2i−2i0000-22−2i2i000i2−i222−2−200000000−i2i2−220000
χ2722-2-202-20i2i2−i2−i2−2i−2i2i2i00002-2−2i2i000i2−i2−2−22200000000i2−i2−220000
χ2822-2-202-20i2i2−i2−i2−2i−2i2i2i0000-222i−2i000i2−i2−2−22200000000−i2i22−20000
χ2922-2-202-20−i2−i2i2i22i2i−2i−2i00002-22i−2i000−i2i2−2−22200000000−i2i2−220000
χ3022-2-202-20−i2−i2i2i22i2i−2i−2i0000-22−2i2i000−i2i2−2−22200000000i2−i22−20000
χ3122-2-202-20−i2−i2i2i2−2i−2i2i2i00002-2−2i2i000−i2i222−2−200000000−i2i22−20000
χ3222-2-202-20−i2−i2i2i2−2i−2i2i2i0000-222i−2i000−i2i222−2−200000000i2−i2−220000
χ332-2-22200-22-22-22−22−22i−2i2i−2i000002−2002−22−20000i2−i2i2−i200000000
χ342-2-22200-22-22-22−22−2−2i2i−2i2i000002−2002−22−20000−i2i2−i2i200000000
χ352-2-22200-22-22-2−22−222i−2i2i−2i00000−2200−22−220000−i2i2−i2i200000000
χ362-2-22200-22-22-2−22−22−2i2i−2i2i00000−2200−22−220000i2−i2i2−i200000000
χ372-2-22200-2-22-222−22−22i−2i−2i2i000002−200−22−220000i2−i2−i2i200000000
χ382-2-22200-2-22-222−22−2−2i2i2i−2i000002−200−22−220000−i2i2i2−i200000000
χ392-2-22200-2-22-22−22−222i−2i−2i2i00000−22002−22−20000−i2i2i2−i200000000
χ402-2-22200-2-22-22−22−22−2i2i2i−2i00000−22002−22−20000i2−i2−i2i200000000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-40-4402i22i2−2i2−2i2000000000000000−2i22i200000000000000000000
χ4344-4-40-440−2i2−2i22i22i20000000000000002i2−2i200000000000000000000
χ444-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000002-2-220000000000000000
χ454-44-400002i2−2i2−2i22i2−2i22i22i2−2i20000000000000-222-20000000000000000
χ464-44-40000−2i22i22i2−2i22i2−2i2−2i22i20000000000000-222-20000000000000000
χ474-44-40000−2i22i22i2−2i2−2i22i22i2−2i200000000000002-2-220000000000000000
χ484-4-44-4004000022−2222−22000000000−22220000000000000000000000
χ494-4-44-40040000−2222−222200000000022−220000000000000000000000

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