Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | Q16×C22⋊#261 |
| Fitting | C22×C13×Q16 ⋊ C4 |
| Sylow | C13 ⋊ C22⋊C4×Q16 |
1398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
154 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1109768);