Finite Group DatabasebetaFinite Group Databasebeta| order | 38220 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C13 · Schur multiplier (H2) = C1 |
| direct product | C5×C13×#10596868 |
| derived, Hall | #3862 ⋊ C4×C5×C13 |
| Hall | C5×C13×#3862 ⋊ C4 |
| Hall | C5×C72×C13 ⋊ Dic3 |
| Hall | C13×#3862 ⋊ C4×C5 |
| Hall | C5×#3862 ⋊ C4×C13 |
| Hall | C72×C13 ⋊ C5×Dic3 |
| Hall | C5×C72 ⋊ Dic3×C13 |
| Sylow | C72 ⋊ C5×Dic3×C13 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1820 |
2600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38220, 291);