Finite Group Databasebeta

← Group #13472

Character table — Group #13472

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size112222222224448888888888881616161616161616
order122224444888884488161616161616161622888888
χ11111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222-2-2-2-2-222-2-20000000000000000
χ10222222222-2-2-2-2-2-2-2220000000000000000
χ11222-2-222-2-2222-2-200000000000000002i−2i00
χ12222-2-222-2-2222-2-20000000000000000−2i2i00
χ13222-2-222-2-2-2-2-2220000000000002-2000000
χ14222-2-222-2-2-2-2-222000000000000-22000000
χ15222-2-2-2-22200000002-222−2−222−2−200000000
χ16222-2-2-2-22200000002-2−2−222−2−22200000000
χ17222-2-2-2-2220000000-2222−2−2−2−22200000000
χ18222-2-2-2-2220000000-22−2−22222−2−200000000
χ1922-22-22-22-2000002i−2i002−22−2i2−i2i2−i200000000
χ2022-22-22-22-2000002i−2i00−22−22−i2i2−i2i200000000
χ2122-22-22-22-200000−2i2i002−22−2−i2i2−i2i200000000
χ2222-22-22-22-200000−2i2i00−22−22i2−i2i2−i200000000
χ2322-22-2-22-2222-22-20000000000000000002-2
χ2422-22-2-22-2222-22-2000000000000000000-22
χ2522-22-2-22-22-2-22-22000000000000002i−2i0000
χ2622-22-2-22-22-2-22-2200000000000000−2i2i0000
χ2722-2-22-222-222-2-2200002-2-22000000000000
χ2822-2-22-222-222-2-220000-222-2000000000000
χ2922-2-22-222-2-2-222-2000000002i−2i−2i2i00000000
χ3022-2-22-222-2-2-222-200000000−2i2i2i−2i00000000
χ3144444-4-4-4-40000000000000000000000000
χ3244-4-444-4-440000000000000000000000000
χ338-8000000042−4200000000000000000000000
χ348-80000000−424200000000000000000000000

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