Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C169 · Schur multiplier (H2) = C2 |
| direct product | D3×D17×C169 |
| unambiguous semidirect product | (D3×C17)⋊(C2×C169) |
| unambiguous semidirect product | (C3×D17)⋊(C2×C169) |
| unambiguous semidirect product | D51⋊(C2×C169) |
| Fitting, Hall | C3×C17×C169 ⋊ C22 |
| derived, Hall | C3×C17 ⋊ C22×C169 |
| Hall | C17×C169 ⋊ C2×D3 |
| Hall | C3×C169 ⋊ C2×D17 |
| Sylow | C17 ⋊ C2×D3×C169 |
| Sylow | C3 ⋊ C2×D17×C169 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8619 |
5070 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 32);