Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
458 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564463 | C2 | semidirect |
| 3. #14563752 | C2 | semidirect |
| 4. #14562313 | C2 | semidirect |
| 5. #14562312 | C2 | semidirect |
| 6. #14561509 | C2 | semidirect |
| 7. C19×#1962 | C2 | semidirect |
| 108. C42×C19 | D8 | semidirect |
| 178. #1962 | D19 | semidirect |
| 276. C19 | #10519 | semidirect |
| 327. C42 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574942 | 2 |
| #14564463 | 2 |
| #14563752 | 2 |
| #14562313 | 2 |
| #14562312 | 2 |
| #14561509 | 2 |
| C19×#1962 | 2 |
| #10519 | 19 |