Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#14523131 |
| derived, Sylow | C132 ⋊ C3×C4×C17 |
| Hall | C13×C17×Dic13 ⋊ C3 |
| Hall | C17×#92789 ⋊ C4 |
| Hall | C132×C17 ⋊ C3×C4 |
| Hall | C13×Dic13 ⋊ C3×C17 |
| Hall | #92789 ⋊ C4×C17 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2652 |
1360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 63);