Finite Group DatabasebetaFinite Group Databasebeta| order | 38646 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C113 · Schur multiplier (H2) = C1 |
| direct product | C2×C113×#4294 |
| derived, Sylow | C19 ⋊ C2×C9×C113 |
| Hall | C2×C19×C113 ⋊ C9 |
| Hall | C19×C113 ⋊ C2×C9 |
| Hall | C2×C19 ⋊ C9×C113 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 38646 |
6102 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38646, 2);