Finite Group DatabasebetaFinite Group Databasebeta| order | 18772 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C361 · Schur multiplier (H2) = C2 |
| direct product | C2×D13×C361 |
| unambiguous semidirect product | C13⋊(C22×C361) |
| unambiguous semidirect product | (C2×C13)⋊(C2×C361) |
| Fitting | C2×C13×C361 ⋊ C2 |
| derived, Sylow | C13 ⋊ C22×C361 |
| Hall | C13×C361 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9386 |
5776 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18772, 10);