Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D4×#66969 |
| Fitting | D4×C11×SD16 ⋊ C2 |
| Sylow | C11 ⋊ D4×#135 |
2822 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
245 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1044863);