Finite Group Databasebeta

← Group #19972

Character table — Group #19972

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888224444444888888882244888888882244
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-111111-1-111-1-1-1-1111-111-1-1-1-1-1-1-1-111
χ6111111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1111111-1-1
χ7111111111111-1-1-1-1-1-11111111-1-111-1-1-1-111-11-1-111-1-1-1-111-1-1
χ8111111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-11-1-1111111-1-111
χ911111111-1-1-1-11111111111-1-1111-1-1-1-1-1-11-111-1-1-1-111-1-11-11-1
χ1011111111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1111-1-1-1-1-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-11-1-1-1111111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-11111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-111111-11-1-1-111-1-111-111-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-111-1-1-11111-1-11-1-11
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-11-1111-1-111-1-1-111-1
χ1722222-2-220000222222220000-2-2-200000000-2-2000000000000
χ1822222-2-2200002222-2-2-2-20000-2-2-20000000022000000000000
χ1922222-2-220000-2-2-2-222-2-20000-22200000000-22000000000000
χ2022222-2-220000-2-2-2-2-2-2220000-222000000002-2000000000000
χ212222-222-22222000000002222-200-2-20000-2-200000000000000
χ222222-222-2222200000000-2-2-2-2-200-2-200002200000000000000
χ232222-222-2-2-2-2-20000000022-2-2-200220000-2200000000000000
χ242222-222-2-2-2-2-200000000-2-222-2002200002-200000000000000
χ2522-2-202-2022-2-2i2i2−i2−i200002i−2i2i−2i0i2−i200i2i2−i2−i2000000002−22−20000
χ2622-2-202-2022-2-2i2i2−i2−i20000−2i2i−2i2i0i2−i200i2i2−i2−i200000000−22−220000
χ2722-2-202-2022-2-2−i2−i2i2i200002i−2i2i−2i0−i2i200−i2−i2i2i200000000−22−220000
χ2822-2-202-2022-2-2−i2−i2i2i20000−2i2i−2i2i0−i2i200−i2−i2i2i2000000002−22−20000
χ2922-2-202-20-2-222i2i2−i2−i200002i−2i−2i2i0i2−i200−i2−i2i2i2000000002−2−220000
χ3022-2-202-20-2-222i2i2−i2−i20000−2i2i2i−2i0i2−i200−i2−i2i2i200000000−222−20000
χ3122-2-202-20-2-222−i2−i2i2i200002i−2i−2i2i0−i2i200i2i2−i2−i200000000−222−20000
χ3222-2-202-20-2-222−i2−i2i2i20000−2i2i2i−2i0−i2i200i2i2−i2−i2000000002−2−220000
χ332-2-22-20022−22−22-22-22-22-200000002−22−22−200002−22−200000000
χ342-2-22-20022−22−22-22-2-22-2200000002−22−22−20000−22−2200000000
χ352-2-22-20022−22−2-22-222-2-2200000002−2−22−2200002−2−2200000000
χ362-2-22-20022−22−2-22-22-222-200000002−2−22−220000−222−200000000
χ372-2-22-2002−22−222-22-22-22-20000000−22−22−220000−22−2200000000
χ382-2-22-2002−22−222-22-2-22-220000000−22−22−2200002−22−200000000
χ392-2-22-2002−22−22-22-222-2-220000000−222−22−20000−222−200000000
χ402-2-22-2002−22−22-22-22-222-20000000−222−22−200002−2−2200000000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-40-44000002i22i2−2i2−2i2000000000−2i22i20000000000000000000000
χ4344-4-40-4400000−2i2−2i22i22i20000000002i2−2i20000000000000000000000
χ444-44-4000022−22−22222i2−2i2−2i22i200000000000002i−2i−2i2i0000000000000000
χ454-44-4000022−22−2222−2i22i22i2−2i20000000000000−2i2i2i−2i0000000000000000
χ464-44-40000−222222−222i2−2i2−2i22i20000000000000−2i2i2i−2i0000000000000000
χ474-44-40000−222222−22−2i22i22i2−2i200000000000002i−2i−2i2i0000000000000000
χ484-4-44400-422−2222−22000000000000000−222200000000000000000000
χ494-4-44400-4−2222−222200000000000000022−2200000000000000000000

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