Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | D11×#3213 |
| Fitting | C11×#3213 ⋊ C2 |
| Sylow | C11 ⋊ C2×#3213 |
2522 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
182 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1040809);