Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13×C17 · Schur multiplier (H2) = C1 |
| direct product | C13×C17×AGL(1,𝔽13) |
| unambiguous semidirect product | #261⋊(C3×C13×C17) |
| unambiguous semidirect product | (C17×#261)⋊(C3×C13) |
| Fitting, socle, Hall | C132×C17 ⋊ C3×C4 |
| derived | C13 ⋊ C3×C4×C13×C17 |
| Hall | C13×C17×#261 ⋊ C3 |
| Hall | C13×C17×C13⋊C3 ⋊ C4 |
| Hall | C13×#261 ⋊ C3×C17 |
| Hall | C13×C13⋊C3 ⋊ C4×C17 |
| Sylow | C132 ⋊ C3×C4×C17 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2652 |
2873 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 99);