Finite Group DatabasebetaFinite Group Databasebeta| order | 15300 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C25 · Schur multiplier (H2) = C3 |
| direct product | C32×C25×Dic17 |
| derived, Sylow | C17 ⋊ C32×C4×C25 |
| Hall | C32×C17×C25 ⋊ C4 |
| Hall | C17×C25 ⋊ C32×C4 |
| Hall | C32×C17 ⋊ C4×C25 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15300 |
4500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15300, 38);