Finite Group DatabasebetaFinite Group Databasebeta| order | 31302 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C47 · Schur multiplier (H2) = C1 |
| direct product | C9×C47×D37 |
| Fitting, Hall | C9×C37×C47 ⋊ C2 |
| derived, Sylow | C37 ⋊ C2×C9×C47 |
| Hall | C37×C47 ⋊ C2×C9 |
| Hall | C9×C37 ⋊ C2×C47 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15651 |
8460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31302, 4);