Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
582 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 103 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. C4×#10597291 | C2 | semidirect |
| 3. #14562152 | C2 | semidirect |
| 4. #14561489 | C2 | semidirect |
| 5. C19×#2973 | C2 | semidirect |
| 8. #11926483 | C4 | semidirect |
| 9. #11926480 | C4 | semidirect |
| 10. #11926461 | C4 | semidirect |
| 12. #11926453 | C4 | semidirect |
| 54. C19×C22⋊C8 | D4 | semidirect |
| 164. #2973 | D19 | semidirect |
| 258. C22⋊C8 | C22⋊D19 | semidirect |
| 266. C19 | #9185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569519 | 2 |
| C4×#10597291 | 2 |
| #14562152 | 2 |
| #14561489 | 2 |
| C19×#2973 | 2 |
| #9185 | 19 |