Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×(C2×#261)⋊Q8 |
| unambiguous semidirect product | D13⋊(C2×#391) |
| Fitting | C23×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C22×#391 |
6174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
232 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114132);