Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| isoclinism | isoclinic class of C22⋊(C19⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C25 · Schur multiplier (H2) = C2×C3 |
| Fitting | C22×C3×C19×C25 ⋊ C3 |
| derived, Hall | C22×C19 ⋊ C32×C25 |
| Hall | C22×C19×C25 ⋊ C32 |
| Hall | C19×C25 ⋊ C3×A4 |
| Hall | C22×C25 ⋊ C3×C19⋊C3 |
| Sylow | C19 ⋊ C3×A4×C25 |
| Sylow | C22 ⋊ C3×C25×C19⋊C3 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5700 |
2100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 156);