Finite Group Databasebeta

← Group #13247

Character table — Group #13247

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size112222222224448888888888881616161616161616
order122224444888884488161616161616161622244488
χ11111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ711111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ9111-1-111-1-111-11-1i−ii−i11-1-1ii−i−i1-11-1i−ii−i
χ10111-1-111-1-111-11-1i−ii−i11-1-1ii−i−i-11-11−ii−ii
χ11111-1-111-1-111-11-1i−ii−i-1-111−i−iii1-1-11−iii−i
χ12111-1-111-1-111-11-1i−ii−i-1-111−i−iii-111-1i−i−ii
χ13111-1-111-1-111-11-1−ii−ii11-1-1−i−iii1-11-1−ii−ii
χ14111-1-111-1-111-11-1−ii−ii11-1-1−i−iii-11-11i−ii−i
χ15111-1-111-1-111-11-1−ii−ii-1-111ii−i−i1-1-11i−i−ii
χ16111-1-111-1-111-11-1−ii−ii-1-111ii−i−i-111-1−iii−i
χ17222222222-2-2-2-2-222-2-20000000000000000
χ18222222222-2-2-2-2-2-2-2220000000000000000
χ19222-2-222-2-2-2-22-222i−2i−2i2i0000000000000000
χ20222-2-222-2-2-2-22-22−2i2i2i−2i0000000000000000
χ2122-22-2-222-2222-2-2000000002i−2i2i−2i00000000
χ2222-22-2-222-2222-2-200000000−2i2i−2i2i00000000
χ2322-22-2-222-2-2-2-22200002-22-2000000000000
χ2422-22-2-222-2-2-2-2220000-22-22000000000000
χ2522-2-22-22-2222-2-22000000002-2-2200000000
χ2622-2-22-22-2222-2-2200000000-222-200000000
χ2722-2-22-22-22-2-222-200002-2-22000000000000
χ2822-2-22-22-22-2-222-20000-222-2000000000000
χ2944444-4-4-4-40000000000000000000000000
χ30444-4-4-4-4440000000000000000000000000
χ3144-44-44-4-440000000000000000000000000
χ3244-4-444-44-40000000000000000000000000
χ338-8000000042−4200000000000000000000000
χ348-80000000−424200000000000000000000000

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