Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
620 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 620 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 |
|---|---|---|
| 1. #14575022 | C2 | semidirect |
| 2. #14574576 | C2 | semidirect |
| 3. #14564476 | C2 | semidirect |
| 4. #14562229 | C2 | semidirect |
| 5. #14562052 | C2 | semidirect |
| 6. #14561525 | C2 | semidirect |
| 272. C19 | #10105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575022 | 2 |
| #14574576 | 2 |
| #14564476 | 2 |
| #14562229 | 2 |
| #14562052 | 2 |
| #14561525 | 2 |
| C19×#3151 | 2 |
| #10105 | 19 |