Finite Group DatabasebetaFinite Group Databasebeta| order | 34542 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C101 · Schur multiplier (H2) = C1 |
| direct product | C101×#4294⋊C2 |
| unambiguous semidirect product | #4294⋊(C2×C101) |
| derived, Sylow | C19 ⋊ C2×C9×C101 |
| Hall | C101×#4294 ⋊ C2 |
| Hall | D19×C101 ⋊ C9 |
| Hall | C19×C101 ⋊ C2×C9 |
| Hall | #4294 ⋊ C2×C101 |
| Hall | D19 ⋊ C9×C101 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17271 |
2727 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34542, 11);