Finite Group DatabasebetaFinite Group Databasebeta| order | 23322 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C23×C169 · Schur multiplier (H2) = C1 |
| direct product | D3×C23×C169 |
| unambiguous semidirect product | C3⋊(C2×C23×C169) |
| Fitting, Hall | C3×C23×C169 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C23×C169 |
| Hall | C3×C169 ⋊ C2×C23 |
| Hall | C3×C23 ⋊ C2×C169 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11661 |
11661 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23322, 9);