Finite Group DatabasebetaFinite Group Databasebeta| order | 17316 |
| isoclinism | isoclinic class of C37⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C13 · Schur multiplier (H2) = C2 |
| direct product | C22×C13×#66524 |
| derived, Sylow | C37 ⋊ C22×C9×C13 |
| Hall | C22×C13×C37 ⋊ C9 |
| Hall | C13×C37 ⋊ C22×C9 |
| Hall | C22×C37 ⋊ C9×C13 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17316 |
2340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17316, 85);