Finite Group DatabasebetaFinite Group Databasebeta| order | 19188 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C41 · Schur multiplier (H2) = C1 |
| direct product | C41×#261⋊C9 |
| unambiguous semidirect product | #261⋊(C9×C41) |
| unambiguous semidirect product | (C41×#261)⋊C9 |
| derived, Sylow | C13 ⋊ C4×C9×C41 |
| Hall | C41×C13⋊C9 ⋊ C4 |
| Hall | C41×#261 ⋊ C9 |
| Hall | C13×C41 ⋊ C4×C9 |
| Hall | C13⋊C9 ⋊ C4×C41 |
| Hall | #261 ⋊ C9×C41 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4797 |
1599 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19188, 14);