Finite Group DatabasebetaFinite Group Databasebeta| order | 30906 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C101 · Schur multiplier (H2) = C1 |
| direct product | C9×D17×C101 |
| unambiguous semidirect product | C17⋊(C2×C9×C101) |
| Fitting, Hall | C9×C17×C101 ⋊ C2 |
| derived, Sylow | C17 ⋊ C2×C9×C101 |
| Hall | C17×C101 ⋊ C2×C9 |
| Hall | C9×C17 ⋊ C2×C101 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15453 |
9090 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30906, 3);