Finite Group Databasebeta

← Group #20013

Character table — Group #20013

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888444444444888888884444888888882444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111-1-111-1-11111111111-11-11111-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-111111111111-11-11-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-11-111-1-1-1-111-1-1-11-11
χ6111111111111-1-1-1-111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111-11-1
χ7111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111111-1-11-11-1
χ8111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-11111-1-111-11-11
χ911111111-1-1-1-111111111-1-1111-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-111
χ1011111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1111111-1-1
χ1111111111-1-1-1-11111-1-11111111-1-111-1-1-1-111-11-1-111-1-1-1-111-1-1
χ1211111111-1-1-1-11111-1-1-1-111-1-11-1-111-1-1-1-11-1-1-1-1-1111111-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-111-1-111-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-111-1-11-1-11
χ1722222-22-20000222200220022-200-2-200000-20-2000000000000
χ1822222-22-20000222200-2-200-2-2-200-2-200000202000000000000
χ1922222-22-20000-2-2-2-2002200-2-2-200220000020-2000000000000
χ2022222-22-20000-2-2-2-200-2-20022-2002200000-202000000000000
χ212222-22-222222000022002200-2-2-2000000-20-20000000000000
χ222222-22-2222220000-2-200-2-200-2-2-20000002020000000000000
χ232222-22-22-2-2-2-200002200-2-200-22200000020-20000000000000
χ242222-22-22-2-2-2-20000-2-2002200-222000000-2020000000000000
χ2522-2-20-2022i2i−2i−2i22−2−22-2002i−2i000002−2i2i2−i2−i200002−2i2−i200000000
χ2622-2-20-2022i2i−2i−2i22−2−2-2200−2i2i000002−2i2i2−i2−i20000−22−i2i200000000
χ2722-2-20-2022i2i−2i−2i−2−2222-2002i−2i00000−22−i2−i2i2i20000−22−i2i200000000
χ2822-2-20-2022i2i−2i−2i−2−222-2200−2i2i00000−22−i2−i2i2i200002−2i2−i200000000
χ2922-2-20-202−2i−2i2i2i22−2−22-200−2i2i000002−2−i2−i2i2i200002−2−i2i200000000
χ3022-2-20-202−2i−2i2i2i22−2−2-22002i−2i000002−2−i2−i2i2i20000−22i2−i200000000
χ3122-2-20-202−2i−2i2i2i−2−2222-200−2i2i00000−22i2i2−i2−i20000−22i2−i200000000
χ3222-2-20-202−2i−2i2i2i−2−222-22002i−2i00000−22i2i2−i2−i200002−2−i2i200000000
χ332-22-2-20202−22−22i−2i2i−2i002-2002i−2i02−200i2−i2i2−i2000000002−2i2−i20000
χ342-22-2-20202−22−22i−2i2i−2i00-2200−2i2i02−200i2−i2i2−i200000000−22−i2i20000
χ352-22-2-20202−22−2−2i2i−2i2i002-200−2i2i02−200−i2i2−i2i2000000002−2−i2i20000
χ362-22-2-20202−22−2−2i2i−2i2i00-22002i−2i02−200−i2i2−i2i200000000−22i2−i20000
χ372-22-2-2020−22−222i−2i2i−2i002-2002i−2i0−2200−i2i2−i2i200000000−22−i2i20000
χ382-22-2-2020−22−222i−2i2i−2i00-2200−2i2i0−2200−i2i2−i2i2000000002−2i2−i20000
χ392-22-2-2020−22−22−2i2i−2i2i002-200−2i2i0−2200i2−i2i2−i200000000−22i2−i20000
χ402-22-2-2020−22−22−2i2i−2i2i00-22002i−2i0−2200i2−i2i2−i2000000002−2−i2i20000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-4040-400002222−22−2200000000000−222200000000000000000000
χ4344-4-4040-40000−22−2222220000000000022−2200000000000000000000
χ444-44-440-4022−2222−220000000000000−22220000000000000000000000
χ454-44-440-40−2222−2222000000000000022−220000000000000000000000
χ464-4-4400002i2−2i2−2i22i22i2−2i2−2i22i20000000000000-222-20000000000000000
χ474-4-4400002i2−2i2−2i22i2−2i22i22i2−2i200000000000002-2-220000000000000000
χ484-4-440000−2i22i22i2−2i22i2−2i2−2i22i200000000000002-2-220000000000000000
χ494-4-440000−2i22i22i2−2i2−2i22i22i2−2i20000000000000-222-20000000000000000

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