Finite Group DatabasebetaFinite Group Databasebeta| order | 34164 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#26015654 |
| derived, Hall | C13×C73 ⋊ C32×C4 |
| Hall | C3×C13⋊C3×C73 ⋊ C4 |
| Hall | Dic949 ⋊ C32 |
| Hall | C3×C13⋊C3 ⋊ Dic73 |
| Sylow | C73 ⋊ C3×Dic13⋊C3 |
| Sylow | C13 ⋊ C32×Dic73 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11388 |
1560 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34164, 124);