Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
512 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14566109 | C2 | semidirect |
| 4. #14562065 | C2 | semidirect |
| 5. #14561538 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 10. #11926826 | C4 | semidirect |
| 11. #11926741 | C4 | semidirect |
| 118. C4×Dic19 | SD16 | semidirect |
| 267. C19 | #9238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573662 | 2 |
| #14566109 | 2 |
| #14564464 | 2 |
| #14562065 | 2 |
| #14561538 | 2 |
| #14561467 | 2 |
| C19×#1502 | 2 |
| #9238 | 19 |