Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14562251 | C2 | semidirect |
| 5. #14562057 | C2 | semidirect |
| 6. #14561533 | C2 | semidirect |
| 7. C19×#1291 | C2 | semidirect |
| 175. #1291 | D19 | semidirect |
| 275. C19 | #9312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573798 | 2 |
| #14572064 | 2 |
| #14562251 | 2 |
| #14562067 | 2 |
| #14562057 | 2 |
| #14561533 | 2 |
| C19×#1291 | 2 |
| #9312 | 19 |