Finite Group DatabasebetaFinite Group Databasebeta| order | 32382 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C257 · Schur multiplier (H2) = C1 |
| direct product | C2×C7⋊C9×C257 |
| unambiguous semidirect product | (C2×C7)⋊(C9×C257) |
| unambiguous semidirect product | (C2×C7×C257)⋊C9 |
| derived, Sylow | C7 ⋊ C2×C9×C257 |
| Hall | C2×C7×C257 ⋊ C9 |
| Hall | C7×C257 ⋊ C2×C9 |
| Hall | C2×C7 ⋊ C9×C257 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32382 |
7710 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32382, 2);