Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
732 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 732 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. #14564616 | C2 | semidirect |
| 3. #14562358 | C2 | semidirect |
| 4. #14562357 | C2 | semidirect |
| 5. #14562272 | C2 | semidirect |
| 6. #14562142 | C2 | semidirect |
| 7. C19×#1505 | C2 | semidirect |
| 13. #11927199 | C4 | semidirect |
| 14. #11927198 | C4 | semidirect |
| 196. #1505 | D19 | semidirect |
| 307. C19 | #8494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578033 | 2 |
| #14564616 | 2 |
| #14562358 | 2 |
| #14562357 | 2 |
| #14562272 | 2 |
| #14562142 | 2 |
| C19×#1505 | 2 |
| #8494 | 19 |