Finite Group Databasebeta

← Group #30955

Character table — Group #30955

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888224444444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-11
χ511111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11-1
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-11111-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1111
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-11-1-1-1
χ9111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ10111111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11111-1111-1-111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-111111-1-111-11-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-1-1-1-1-1111-111
χ1722222222-2-2-2-22222-2-222000000000000-2-2000000000000
χ1822222222-2-2-2-222-2-222-2-2000000000000-22000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-200000000000022000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000000002-2000000000000
χ21222-22-2-2-222-2-20000000022-2-200002-22-200000000000000
χ22222-22-2-2-222-2-20000000022-2-20000-22-2200000000000000
χ23222-22-2-2-222-2-200000000-2-22200002-2-2200000000000000
χ24222-22-2-2-222-2-200000000-2-2220000-222-200000000000000
χ252-22-2-2-222-22-2200000000000022-2-20000002-22-200000000
χ262-22-2-2-222-22-2200000000000022-2-2000000-22-2200000000
χ272-22-2-2-222-22-22000000000000-2-2220000002-2-2200000000
χ282-22-2-2-222-22-22000000000000-2-222000000-222-200000000
χ292-2-2-2222-200002i−2i2-2002i−2i2−22−22−22−20000000000i2−i2i2−i20000
χ302-2-2-2222-200002i−2i2-2002i−2i−22−22−22−220000000000−i2i2−i2i20000
χ312-2-2-2222-200002i−2i-2200−2i2i2−22−2−22−220000000000−i2i2i2−i20000
χ322-2-2-2222-200002i−2i-2200−2i2i−22−222−22−20000000000i2−i2−i2i20000
χ332-2-2-2222-20000−2i2i2-200−2i2i2−22−22−22−20000000000−i2i2−i2i20000
χ342-2-2-2222-20000−2i2i2-200−2i2i−22−22−22−220000000000i2−i2i2−i20000
χ352-2-2-2222-20000−2i2i-22002i−2i2−22−2−22−220000000000i2−i2−i2i20000
χ362-2-2-2222-20000−2i2i-22002i−2i−22−222−22−20000000000−i2i2i2−i20000
χ37444-44-4-4-4-4-4440000000000000000000000000000000000
χ3844-44-4-44-4000000000000000022−22−2222000000000000000000
χ3944-44-4-44-40000000000000000−222222−22000000000000000000
χ4044-4-4-44-44000000004-40000000000000000000000000000
χ4144-4-4-44-4400000000-440000000000000000000000000000
χ424-444-44-4-44-4-440000000000000000000000000000000000
χ434-444-44-4-4-444-40000000000000000000000000000000000
χ444-44-4-4-4444-44-40000000000000000000000000000000000
χ454-4-444-4-4400000000000022−22−22220000000000000000000000
χ464-4-444-4-44000000000000−222222−220000000000000000000000

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