Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q16×#261 |
| unambiguous semidirect product | D13⋊(C2×C4×Q16) |
| Fitting | C22×C13×Q16 ⋊ C4 |
| Sylow | C13 ⋊ C22×C4×Q16 |
2830 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
196 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114997);