Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | #41×C4⋊#261 |
| Fitting | C4×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C4⋊C4×#41 |
3250 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114225);