Finite Group DatabasebetaFinite Group Databasebeta| order | 16150 |
| isoclinism | isoclinic class of D19 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C17×C25 · Schur multiplier (H2) = C1 |
| direct product | C17×C25×D19 |
| unambiguous semidirect product | C19⋊(C2×C17×C25) |
| Fitting, Hall | C17×C19×C25 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C17×C25 |
| Hall | C19×C25 ⋊ C2×C17 |
| Hall | C17×C19 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8075 |
4675 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C25×D17×D19, C17×D19×D25, D19×D425, … |
| maximal normal subgroup of | C25×D17×D19, C17×D19×D25, D19×D425, … |
| maximal quotient of | C17×C25×Dic19, C2×C17×C25×D19 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16150, 2);