Finite Group DatabasebetaFinite Group Databasebeta| order | 19404 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C7 |
| direct product | C11×#13183544 |
| derived, Hall | #89205 ⋊ C4×C11 |
| Hall | C11×#89205 ⋊ C4 |
| Hall | C72×C11 ⋊ Dic9 |
| Sylow | C72 ⋊ C11×Dic9 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1386 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19404, 168);