Finite Group DatabasebetaFinite Group Databasebeta| order | 37386 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C67 · Schur multiplier (H2) = C1 |
| direct product | C9×D31×C67 |
| Fitting, Hall | C9×C31×C67 ⋊ C2 |
| derived, Sylow | C31 ⋊ C2×C9×C67 |
| Hall | C31×C67 ⋊ C2×C9 |
| Hall | C9×C31 ⋊ C2×C67 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18693 |
10251 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37386, 7);