Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1060 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 1060 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 |
|---|---|---|
| 1. #14574383 | C2 | semidirect |
| 2. C2×#11926678 | C2 | semidirect |
| 3. #14564471 | C2 | semidirect |
| 4. #14563566 | C2 | semidirect |
| 5. #14562203 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 7. C19×#2433 | C2 | semidirect |
| 44. C22×D76 | D4 | semidirect |
| 67. C2×C4⋊Dic19 | D4 | semidirect |
| 69. C22×C19⋊C8 | D4 | semidirect |
| 78. C22⋊(C19⋊C8) | D4 | semidirect |
| 139. C22⋊C4×C19 | D8 | semidirect |
| 224. #2433 | D19 | semidirect |
| 350. C19 | #9946 | semidirect |
| 420. C22⋊C4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574383 | 2 |
| C2×#11926678 | 2 |
| #14564471 | 2 |
| #14563566 | 2 |
| #14562203 | 2 |
| #14561483 | 2 |
| C19×#2433 | 2 |
| #9946 | 19 |