Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×#127×#261 |
| unambiguous semidirect product | D13⋊(C4×#127) |
| Fitting | C2×C13×#127 ⋊ C4 |
| Sylow | C13 ⋊ C2×C4×#127 |
5694 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | #261×#3498, C2×#261×#453 |
| maximal normal subgroup of | #261×#3498, C2×#261×#453 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114147);