Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | D11×#3184 |
| Fitting | C11×#3184 ⋊ C2 |
| Sylow | C11 ⋊ C2×#3184 |
2514 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#19745, AGL(1,𝔽11)×#3184, D11×#33688 |
| maximal normal subgroup of | D11×#19745, AGL(1,𝔽11)×#3184, D11×#33688 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1039526);