Finite Group Databasebeta

← Group #26219

Character table — Group #26219

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222444444444444444444448888888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ9111111111111-1-111-1-1-1-11111-1-1-1-11-11111-1-111-1-111-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-111-1-1111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-11
χ13111111111111-1-1-1-111-1-11111-1-111-11-1-111-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-111-1-11111-1-111-11-1-1-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-11
χ16111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-11111-1-11-1
χ1722222222-2-2-2-22222-2-2-2-200000000-220000000000000000
χ1822222222-2-2-2-222-2-222-2-2000000002-20000000000000000
χ1922222222-2-2-2-2-2-222222200000000-2-20000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200000000220000000000000000
χ2122-2-222-2-22-2-222-200002-22i2i−2i−2i2i−2i00000000000000000000
χ2222-2-222-2-22-2-222-200002-2−2i−2i2i2i−2i2i00000000000000000000
χ2322-2-222-2-22-2-22-220000-222i2i−2i−2i−2i2i00000000000000000000
χ2422-2-222-2-22-2-22-220000-22−2i−2i2i2i2i−2i00000000000000000000
χ2522-2-222-2-2-222-22-20000-220000002i−2i002i−2i00000000000000
χ2622-2-222-2-2-222-22-20000-22000000−2i2i00−2i2i00000000000000
χ2722-2-222-2-2-222-2-2200002-20000002i−2i00−2i2i00000000000000
χ2822-2-222-2-2-222-2-2200002-2000000−2i2i002i−2i00000000000000
χ292-22-22-22-222-2-2000000002-22-200000000002i−2i0000002i−2i00
χ302-22-22-22-222-2-2000000002-22-20000000000−2i2i000000−2i2i00
χ312-22-22-22-222-2-200000000-22-2200000000002i−2i000000−2i2i00
χ322-22-22-22-222-2-200000000-22-220000000000−2i2i0000002i−2i00
χ332-2-222-2-222-22-2000000002i−2i−2i2i000000002-20000002i−2i0000
χ342-2-222-2-222-22-2000000002i−2i−2i2i00000000-22000000−2i2i0000
χ352-2-222-2-222-22-200000000−2i2i2i−2i000000002-2000000−2i2i0000
χ362-2-222-2-222-22-200000000−2i2i2i−2i00000000-220000002i−2i0000
χ37444-4-4-4-4400000000000000000000000000002i2−2i200000000
χ38444-4-4-4-440000000000000000000000000000−2i22i200000000
χ3944-44-4-44-40000000000000000000000000000002i2−2i2000000
χ4044-44-4-44-4000000000000000000000000000000−2i22i2000000
χ414-444-44-4-4000000004i−4i0000000000000000000000000000
χ424-444-44-4-400000000−4i4i0000000000000000000000000000
χ434-44-44-44-4-4-4440000000000000000000000000000000000
χ444-4-444-4-44-44-440000000000000000000000000000000000
χ454-4-4-4-44440000004-4000000000000000000000000000000
χ464-4-4-4-4444000000-44000000000000000000000000000000

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