Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
598 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14573667 | C2 | semidirect |
| 3. #14566921 | C2 | semidirect |
| 4. #14564467 | C2 | semidirect |
| 5. #14562065 | C2 | semidirect |
| 6. #14562061 | C2 | semidirect |
| 7. C19×#1274 | C2 | semidirect |
| 193. #1274 | D19 | semidirect |
| 299. C19 | #10013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14573636 | 2 |
| #14566921 | 2 |
| #14564467 | 2 |
| #14562065 | 2 |
| #14562061 | 2 |
| C19×#1274 | 2 |
| #10013 | 19 |