Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
576 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14566747 | C2 | semidirect |
| 3. #14562144 | C2 | semidirect |
| 4. #14561527 | C2 | semidirect |
| 5. C19×#1533 | C2 | semidirect |
| 9. #11926939 | C4 | semidirect |
| 10. #11926934 | C4 | semidirect |
| 48. #10597320 | C2×C4 | semidirect |
| 50. #10597315 | C2×C4 | semidirect |
| 58. #10597260 | C2×C4 | semidirect |
| 148. #1533 | D19 | semidirect |
| 230. C19 | #9441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574099 | 2 |
| #14566747 | 2 |
| #14562144 | 2 |
| #14561527 | 2 |
| C19×#1533 | 2 |
| #9441 | 19 |