Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D4×#66892 |
| Fitting | D4×C11×Q16 ⋊ C2 |
| Sylow | C11 ⋊ D4×SD32 |
738 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
230 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 326242);