Finite Group DatabasebetaFinite Group Databasebeta| order | 23660 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×C7⋊#10621721 |
| unambiguous semidirect product | C7⋊(C5×#10621721) |
| Fitting, Hall | C5×C7×C169 ⋊ C4 |
| derived, Hall | C7×C169 ⋊ C4×C5 |
| Hall | C5×C169 ⋊ Dic7 |
| Sylow | C169 ⋊ C5×Dic7 |
| Hall | C5×C7 ⋊ #10621721 |
| Sylow | C7 ⋊ C5×#10621721 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5915 |
1520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23660, 11);