Finite Group DatabasebetaFinite Group Databasebeta| order | 38532 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#14523132 |
| derived, Sylow | C132 ⋊ C3×C4×C19 |
| Hall | C19×#10621725 ⋊ C3 |
| Hall | C13×C19×C13⋊C3 ⋊ C4 |
| Hall | C132×C19 ⋊ C3×C4 |
| Hall | #10621725 ⋊ C3×C19 |
| Hall | C13×C13⋊C3 ⋊ C4×C19 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2964 |
1900 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38532, 112);