Finite Group Databasebeta

← Group #20020

Character table — Group #20020

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112222222222224444444444444444488888888888816161616
order1222444488888888444444444888888882244888888884444
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
χ5111111111111-1-1-1-111-1-111111-1-111-1-1-1-1111-111-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-11111-1-111
χ7111111111111-1-1-1-1-1-11111111-1-111-1-1-1-111-11-1-111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-11-1-111111111-1-1
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
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-111111-11-1-1-111-1-1111-1-11
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
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-11-1111-1-111-1-11-1-11
χ1722222-22-20000222222220000-2-2-200000000-2-2000000000000
χ1822222-22-200002222-2-2-2-20000-2-2-20000000022000000000000
χ1922222-22-20000-2-2-2-222-2-20000-22200000000-22000000000000
χ2022222-22-20000-2-2-2-2-2-2220000-222000000002-2000000000000
χ212222-22-222222000000002222-200-2-20000-2-200000000000000
χ222222-22-22222200000000-2-2-2-2-200-2-200002200000000000000
χ232222-22-22-2-2-2-20000000022-2-2-200220000-2200000000000000
χ242222-22-22-2-2-2-200000000-2-222-2002200002-200000000000000
χ252-22-2-202022−2−222-2-22i−2i2i−2i00000002−222−2−20000i2−i2i2−i200000000
χ262-22-2-202022−2−222-2-2−2i2i−2i2i00000002−222−2−20000−i2i2−i2i200000000
χ272-22-2-202022−2−2-2-2222i−2i−2i2i00000002−2−2−2220000i2−i2−i2i200000000
χ282-22-2-202022−2−2-2-222−2i2i2i−2i00000002−2−2−2220000−i2i2i2−i200000000
χ292-22-2-2020−2−22222-2-22i−2i2i−2i0000000−22−2−2220000−i2i2−i2i200000000
χ302-22-2-2020−2−22222-2-2−2i2i−2i2i0000000−22−2−2220000i2−i2i2−i200000000
χ312-22-2-2020−2−222-2-2222i−2i−2i2i0000000−2222−2−20000−i2i2i2−i200000000
χ322-22-2-2020−2−222-2-222−2i2i2i−2i0000000−2222−2−20000i2−i2−i2i200000000
χ332-2-22020-22-22-22−22−200002i−2i2i−2i02−2002−22−200000000i2−i2i2−i20000
χ342-2-22020-22-22-22−22−20000−2i2i−2i2i02−2002−22−200000000−i2i2−i2i20000
χ352-2-22020-22-22-2−22−2200002i−2i2i−2i0−2200−22−2200000000−i2i2−i2i20000
χ362-2-22020-22-22-2−22−220000−2i2i−2i2i0−2200−22−2200000000i2−i2i2−i20000
χ372-2-22020-2-22-222−22−200002i−2i−2i2i02−200−22−2200000000i2−i2−i2i20000
χ382-2-22020-2-22-222−22−20000−2i2i2i−2i02−200−22−2200000000−i2i2i2−i20000
χ392-2-22020-2-22-22−22−2200002i−2i−2i2i0−22002−22−200000000−i2i2i2−i20000
χ402-2-22020-2-22-22−22−220000−2i2i2i−2i0−22002−22−200000000i2−i2−i2i20000
χ414444-4-4-4-400000000000000004000000000000000000000000
χ4244-4-4000022−22−222222−22−222200000000000002-2-220000000000000000
χ4344-4-4000022−22−2222−222222−220000000000000-222-20000000000000000
χ4444-4-40000−222222−2222−22−22220000000000000-222-20000000000000000
χ4544-4-40000−222222−22−222222−2200000000000002-2-220000000000000000
χ464-44-440-402222−22−22000000000000000−222200000000000000000000
χ474-44-440-40−22−22222200000000000000022−2200000000000000000000
χ484-4-440-404000022−2222−22000000000−22220000000000000000000000
χ494-4-440-4040000−2222−222200000000022−220000000000000000000000

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