Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
424 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14572620 | C2 | semidirect |
| 3. #14562210 | C2 | semidirect |
| 4. #14562181 | C2 | semidirect |
| 5. #14562053 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 7. C19×#1288 | C2 | semidirect |
| 10. #11926938 | C4 | semidirect |
| 11. #11926933 | C4 | semidirect |
| 12. #11926913 | C4 | semidirect |
| 13. #11926909 | C4 | semidirect |
| 183. #1288 | D19 | semidirect |
| 292. C19 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574674 | 2 |
| #14572620 | 2 |
| #14562210 | 2 |
| #14562181 | 2 |
| #14562053 | 2 |
| #14561496 | 2 |
| C19×#1288 | 2 |
| #9370 | 19 |