Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C19 · Schur multiplier (H2) = C3 |
| direct product | C32×C19×#1035 |
| Fitting, Hall | C32×C19×C25 ⋊ C4 |
| derived, Sylow | C25 ⋊ C32×C4×C19 |
| Hall | C19×C25 ⋊ C32×C4 |
| Hall | C32×C25 ⋊ C4×C19 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4275 |
1710 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 121);