Finite Group Databasebeta

← Group #32080

Character table — Group #32080

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888224444444488882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-11
χ611111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-111-1
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11
χ9111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-1-1111
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-111111-11111-1-11-1-1-1
χ11111111111111-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-111-11-1-1
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1111-111
χ13111111111111-1-1-1-111-1-11111-1-1-1-1111111-11-1-1-1-111-1-1-11
χ14111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-111111-1-1-1-11-1
χ16111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-11-1-111-1-111-11
χ1722222222-2-2-2-2222222-2-200000000000000-2-20000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000000000220000000000
χ1922222222-2-2-2-2-2-222-2-22200000000000000-220000000000
χ2022222222-2-2-2-2-2-2-2-22222000000000000002-20000000000
χ212222-2-2-2-2-22-22000000002i2i−2i−2i0000002-22i−2i000000000000
χ222222-2-2-2-2-22-22000000002i2i−2i−2i000000-22−2i2i000000000000
χ232222-2-2-2-2-22-2200000000−2i−2i2i2i0000002-2−2i2i000000000000
χ242222-2-2-2-2-22-2200000000−2i−2i2i2i000000-222i−2i000000000000
χ2522-2-222-2-200002-22-22-200i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ2622-2-222-2-200002-22-22-200−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ2722-2-222-2-200002-2-22-2200i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ2822-2-222-2-200002-2-22-2200−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ2922-2-222-2-20000-222-2-2200i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ3022-2-222-2-20000-222-2-2200−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ3122-2-222-2-20000-22-222-200i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ3222-2-222-2-20000-22-222-200−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ332-22-22-22-222-2-20000000000002i−2i2i−2i2-20000002i−2i00000000
χ342-22-22-22-222-2-20000000000002i−2i2i−2i-22000000−2i2i00000000
χ352-22-22-22-222-2-2000000000000−2i2i−2i2i2-2000000−2i2i00000000
χ362-22-22-22-222-2-2000000000000−2i2i−2i2i-220000002i−2i00000000
χ374444-4-4-4-44-44-40000000000000000000000000000000000
χ3844-4-4-4-44400000000000022−22−22220000000000000000000000
χ3944-4-4-4-444000000000000−222222−220000000000000000000000
χ404-44-44-44-4-4-4440000000000000000000000000000000000
χ414-44-4-44-444-4-440000000000000000000000000000000000
χ424-44-4-44-44-444-40000000000000000000000000000000000
χ434-4-444-4-44000000000000000022−22−2222000000000000000000
χ444-4-444-4-440000000000000000−222222−22000000000000000000
χ454-4-44-444-400000000004-400000000000000000000000000
χ464-4-44-444-40000000000-4400000000000000000000000000

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