Finite Group DatabasebetaFinite Group Databasebeta| order | 14994 |
| isoclinism | isoclinic class of D9 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C17×C49 · Schur multiplier (H2) = C1 |
| direct product | C17×D9×C49 |
| unambiguous semidirect product | C9⋊(C2×C17×C49) |
| Fitting, Hall | C9×C17×C49 ⋊ C2 |
| derived, Sylow | C9 ⋊ C2×C17×C49 |
| Hall | C9×C49 ⋊ C2×C17 |
| Hall | C9×C17 ⋊ C2×C49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7497 |
4998 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D9×D17×C49, C17×D9×D49, D9×D833, … |
| maximal normal subgroup of | D9×D17×C49, C17×D9×D49, D9×D833, … |
| maximal quotient of | C17×Dic9×C49, C2×C17×D9×C49 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14994, 9);