Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#10621721⋊C3 |
| unambiguous semidirect product | #10621721⋊(C3×C17) |
| unambiguous semidirect product | (C17×#10621721)⋊C3 |
| Fitting, Hall | C17×C169 ⋊ C3×C4 |
| derived, Sylow | C169 ⋊ C3×C4×C17 |
| Hall | C17×#10621721 ⋊ C3 |
| Hall | C17×C169⋊C3 ⋊ C4 |
| Hall | #10621721 ⋊ C3×C17 |
| Hall | C169⋊C3 ⋊ C4×C17 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2873 |
442 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 14);