Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×#26040083 |
| Fitting, Hall | C3×C17×C169 ⋊ C4 |
| derived, Hall | C17×C169 ⋊ C3×C4 |
| Hall | C3×C169 ⋊ #595 |
| Sylow | C169 ⋊ C3×#595 |
| Hall | C3×C17 ⋊ #10621721 |
| Sylow | C17 ⋊ C3×#10621721 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8619 |
2166 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 27);