Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
576 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14566745 | C2 | semidirect |
| 3. #14562258 | C2 | semidirect |
| 4. #14562143 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561527 | C2 | semidirect |
| 7. C19×#1505 | C2 | semidirect |
| 11. #11926936 | C4 | semidirect |
| 12. #11926931 | C4 | semidirect |
| 35. C19×C4⋊Q8 | C2×C4 | semidirect |
| 36. C19×#127 | C2×C4 | semidirect |
| 79. #10597260 | C2×C4 | semidirect |
| 197. #1505 | D19 | semidirect |
| 270. C4⋊Q8 | C4×D19 | semidirect |
| 271. #127 | C4×D19 | semidirect |
| 307. C19 | #9441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574103 | 2 |
| #14566745 | 2 |
| #14562258 | 2 |
| #14562143 | 2 |
| #14561528 | 2 |
| #14561527 | 2 |
| C19×#1505 | 2 |
| #9441 | 19 |