Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
538 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 4. #14562316 | C2 | semidirect |
| 5. #14561537 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#1548 | C2 | semidirect |
| 148. #1548 | D19 | semidirect |
| 232. C19 | #9391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572658 | 2 |
| #14568809 | 2 |
| #14563624 | 2 |
| #14562316 | 2 |
| #14561537 | 2 |
| #14561536 | 2 |
| C19×#1548 | 2 |
| #9391 | 19 |