Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
648 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14566682 | C2 | semidirect |
| 3. #14564470 | C2 | semidirect |
| 4. #14562202 | C2 | semidirect |
| 5. C2×#11926277 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C19×#1294 | C2 | semidirect |
| 12. #11926858 | C4 | semidirect |
| 15. #11926680 | C4 | semidirect |
| 35. C22×D76 | C2×C4 | semidirect |
| 58. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 66. C19×C22⋊C8 | C2×C4 | semidirect |
| 131. C22⋊Dic19 | D8 | semidirect |
| 224. #1294 | D19 | semidirect |
| 342. C22⋊C8 | C4×D19 | semidirect |
| 350. C19 | #9277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574386 | 2 |
| #14566682 | 2 |
| #14564470 | 2 |
| #14562202 | 2 |
| C2×#11926277 | 2 |
| #14561481 | 2 |
| C19×#1294 | 2 |
| #9277 | 19 |