Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14574557 | C2 | semidirect |
| 2. #14571991 | C2 | semidirect |
| 3. #14564464 | C2 | semidirect |
| 4. #14562315 | C2 | semidirect |
| 5. #14562303 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 260. C19 | #10281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574557 | 2 |
| #14571991 | 2 |
| #14564464 | 2 |
| #14562315 | 2 |
| #14562303 | 2 |
| #14561467 | 2 |
| C19×#3205 | 2 |
| #10281 | 19 |