Finite Group DatabasebetaFinite Group Databasebeta| order | 38532 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#14523130 |
| derived, Sylow | C132 ⋊ C3×C4×C19 |
| Hall | C13×C19×Dic13 ⋊ C3 |
| Hall | C19×#92788 ⋊ C4 |
| Hall | C132×C19 ⋊ C3×C4 |
| Hall | C13×Dic13 ⋊ C3×C19 |
| Hall | #92788 ⋊ C4×C19 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 988 |
1520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38532, 100);