Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
692 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 692 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#11926858 | C2 | semidirect |
| 3. #14568106 | C2 | semidirect |
| 4. #14564471 | C2 | semidirect |
| 5. #14563722 | C2 | semidirect |
| 6. #14562204 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 116. C22⋊C4×C19 | D8 | semidirect |
| 194. #1282 | D19 | semidirect |
| 304. C19 | #9952 | semidirect |
| 360. C22⋊C4 | D152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574386 | 2 |
| C2×#11926858 | 2 |
| #14568106 | 2 |
| #14564471 | 2 |
| #14563722 | 2 |
| #14562204 | 2 |
| C19×#1282 | 2 |
| #9952 | 19 |