Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C2×#13129646 |
| Fitting | C22×C13×H(5,𝔽2) ⋊ C2 |
| Sylow | C13 ⋊ C2×H(7,𝔽2) |
60570 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
538 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1083464);