Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
514 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14572060 | C2 | semidirect |
| 3. #14562067 | C2 | semidirect |
| 4. #14562052 | C2 | semidirect |
| 5. #14561534 | C2 | semidirect |
| 6. #14561508 | C2 | semidirect |
| 7. C19×#1530 | C2 | semidirect |
| 176. #1530 | D19 | semidirect |
| 283. C19 | #9311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573780 | 2 |
| #14572060 | 2 |
| #14562067 | 2 |
| #14562052 | 2 |
| #14561534 | 2 |
| #14561508 | 2 |
| C19×#1530 | 2 |
| #9311 | 19 |