Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
676 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #14564609 | C2 | semidirect |
| 3. #14562256 | C2 | semidirect |
| 4. #14562256 | C2 | semidirect |
| 5. #14562174 | C2 | semidirect |
| 6. #14562174 | C2 | semidirect |
| 7. C19×#1556 | C2 | semidirect |
| 9. #11927269 | C4 | semidirect |
| 10. #11927268 | C4 | semidirect |
| 13. #11927209 | C4 | semidirect |
| 16. #11927197 | C4 | semidirect |
| 239. #1556 | D19 | semidirect |
| 385. C19 | #8499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578076 | 2 |
| #14564609 | 2 |
| #14562256 | 2 |
| #14562174 | 2 |
| C19×#1556 | 2 |
| #8499 | 19 |