Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D8×#4314 |
| Fitting | C8×C11×D8 ⋊ C2 |
| Sylow | C11 ⋊ D8×SD16 |
798 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
329 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 161937);