Finite Group DatabasebetaFinite Group Databasebeta| order | 9975 |
| isoclinism | isoclinic class of C19⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×C19⋊C3 |
| unambiguous semidirect product | C19⋊(C3×C7×C25) |
| unambiguous semidirect product | (C19×C25)⋊(C3×C7) |
| Fitting, Hall | C7×C19×C25 ⋊ C3 |
| derived, Sylow | C19 ⋊ C3×C7×C25 |
| Hall | C19×C25 ⋊ C3×C7 |
| Hall | C7×C19 ⋊ C3×C25 |
24 conjugacy classes of subgroups.
1575 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9975, 2);