Finite Group Databasebeta

← Group #26639

Character table — Group #26639

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444442444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11-1
χ4111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-11
χ511111111111111-1-1-1-11111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-11
χ9111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ10111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ11111111111111-1-11111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111-11
χ12111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-11-1
χ13111111111111-1-1-1-1-1-11111-1-1-111-11111-1-111-1-111-1-111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-111-1-111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1111-1
χ1722222222-2-2-2-222000022-2-2-2-2200-2000000000000000000
χ1822222222-2-2-2-2220000-2-22222-200-2000000000000000000
χ1922222222-2-2-2-2-2-2000022-2-222-2002000000000000000000
χ2022222222-2-2-2-2-2-20000-2-222-2-22002000000000000000000
χ2122-22-2-2-222-2-220000002i−2i2i−2i0002-202i−2i0000000000000000
χ2222-22-2-2-222-2-220000002i−2i2i−2i000-220−2i2i0000000000000000
χ2322-22-2-2-222-2-22000000−2i2i−2i2i0002-20−2i2i0000000000000000
χ2422-22-2-2-222-2-22000000−2i2i−2i2i000-2202i−2i0000000000000000
χ2522-22-2-2-22-222-2002i2i−2i−2i2i−2i−2i2i00000000002-2000000000000
χ2622-22-2-2-22-222-2002i2i−2i−2i−2i2i2i−2i0000000000-22000000000000
χ2722-22-2-2-22-222-200−2i−2i2i2i2i−2i−2i2i0000000000-22000000000000
χ2822-22-2-2-22-222-200−2i−2i2i2i−2i2i2i−2i00000000002-2000000000000
χ292-22-22-2-2222-2-2002i−2i2i−2i00000000000000002-200002i−2i0000
χ302-22-22-2-2222-2-2002i−2i2i−2i0000000000000000-220000−2i2i0000
χ312-22-22-2-2222-2-200−2i2i−2i2i00000000000000002-20000−2i2i0000
χ322-22-22-2-2222-2-200−2i2i−2i2i0000000000000000-2200002i−2i0000
χ332-2-2-2-2222-22-22002-2-220000000000002-200002-200000000
χ342-2-2-2-2222-22-22002-2-22000000000000-220000-2200000000
χ352-2-2-2-2222-22-2200-222-20000000000002-20000-2200000000
χ362-2-2-2-2222-22-2200-222-2000000000000-2200002-200000000
χ37444-4-4-44-4000000000000000000000000000000000022−2200
χ38444-4-4-44-40000000000000000000000000000000000−222200
χ3944-4-444-4-400000000000000000000000000000022−22000000
χ4044-4-444-4-4000000000000000000000000000000−2222000000
χ414-444-44-4-400004-400000000000000000000000000000000
χ424-444-44-4-40000-4400000000000000000000000000000000
χ434-44-44-4-44-4-4440000000000000000000000000000000000
χ444-4-444-44-4000000000000004i−4i0000000000000000000000
χ454-4-444-44-400000000000000−4i4i0000000000000000000000
χ464-4-4-4-44444-44-40000000000000000000000000000000000

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