Finite Group Databasebeta

← Group #31422

Character table — Group #31422

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ511111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-11-1-1
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111-111
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1-1111
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-111111111-1-11-1-1-1
χ9111111111111-1-111-1-11111111111-1-111-1-111-1-1-1-1-1-11-1-11
χ10111111111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-111-1
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11
χ13111111111111-1-1-1-111-1-11111-1-1-1-11-1111111-1-111-1-1-1-11-1
χ14111111111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11
χ15111111111111-1-1-1-111-1-1-1-1-1-111111-11111-1-111-1-111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111-1
χ1722222222-2-2-2-22222-2-2-2-2000000002-20000000000000000
χ1822222222-2-2-2-222-2-2222200000000-2-20000000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-220000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200000000220000000000000000
χ212-22-22-22-2-22-2200000000000022-2-200002i−2i002i−2i00000000
χ222-22-22-22-2-22-2200000000000022-2-20000−2i2i00−2i2i00000000
χ232-22-22-22-2-22-22000000000000-2-22200002i−2i00−2i2i00000000
χ242-22-22-22-2-22-22000000000000-2-2220000−2i2i002i−2i00000000
χ252-2-222-2-2222-2-2000000002i2i−2i−2i0000002i−2i002-20000000000
χ262-2-222-2-2222-2-2000000002i2i−2i−2i000000−2i2i00-220000000000
χ272-2-222-2-2222-2-200000000−2i−2i2i2i0000002i−2i00-220000000000
χ282-2-222-2-2222-2-200000000−2i−2i2i2i000000−2i2i002-20000000000
χ292-2-2-2-222200002-2002-22-22−22−22−22−200000000002−22−20000
χ302-2-2-2-222200002-2002-22-2−22−22−22−220000000000−22−220000
χ312-2-2-2-222200002-200-22-222−22−2−22−220000000000−222−20000
χ322-2-2-2-222200002-200-22-22−22−222−22−200000000002−2−220000
χ332-2-2-2-22220000-22002-2-222−22−2−22−2200000000002−2−220000
χ342-2-2-2-22220000-22002-2-22−22−222−22−20000000000−222−20000
χ352-2-2-2-22220000-2200-222-22−22−22−22−20000000000−22−220000
χ362-2-2-2-22220000-2200-222-2−22−22−22−2200000000002−22−20000
χ37444-4-4-4-440000000000002i2−2i2−2i22i20000000000000000000000
χ38444-4-4-4-44000000000000−2i22i22i2−2i20000000000000000000000
χ3944-44-4-44-4000000000000000022−22−2222000000000000000000
χ4044-44-4-44-40000000000000000−222222−22000000000000000000
χ4144-4-444-4-44-4-440000000000000000000000000000000000
χ4244-4-444-4-4-444-40000000000000000000000000000000000
χ434-444-44-4-40000004-4000000000000000000000000000000
χ444-444-44-4-4000000-44000000000000000000000000000000
χ454-44-44-44-44-44-40000000000000000000000000000000000
χ464-4-444-4-44-4-4440000000000000000000000000000000000

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