Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C169 · Schur multiplier (H2) = C1 |
| direct product | C169×C3⋊#595 |
| unambiguous semidirect product | C3⋊(#595×C169) |
| Fitting, Hall | C3×C17×C169 ⋊ C4 |
| derived, Hall | C3×C17 ⋊ C4×C169 |
| Hall | C17×C169 ⋊ Dic3 |
| Hall | C3×C169 ⋊ #595 |
| Sylow | C17 ⋊ Dic3×C169 |
| Sylow | C3 ⋊ #595×C169 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8619 |
3042 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 31);