Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C42×#6104 |
| Fitting | C42×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ C42×D8 |
1350 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
592 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 168032);