Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#13077884 |
| Fitting | C22×C11×H(5,𝔽2) ⋊ C2 |
| Sylow | C11 ⋊ C2×#3008 |
5254 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1035972);