Finite Group DatabasebetaFinite Group Databasebeta| order | 23660 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7×C169 · Schur multiplier (H2) = C2 |
| direct product | C2×C7×D5×C169 |
| unambiguous semidirect product | C5⋊(C22×C7×C169) |
| unambiguous semidirect product | (C2×C5)⋊(C2×C7×C169) |
| Fitting | C2×C5×C7×C169 ⋊ C2 |
| derived, Sylow | C5 ⋊ C22×C7×C169 |
| Hall | C5×C7×C169 ⋊ C22 |
| Hall | C5×C169 ⋊ C22×C7 |
| Hall | C5×C7 ⋊ C22×C169 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11830 |
9464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23660, 32);