Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
582 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14572664 | C2 | semidirect |
| 3. #14562150 | C2 | semidirect |
| 4. #14561488 | C2 | semidirect |
| 5. C4×C19×#99 | C2 | semidirect |
| 11. #11926483 | C4 | semidirect |
| 12. #11926480 | C4 | semidirect |
| 13. #11926461 | C4 | semidirect |
| 15. #11926453 | C4 | semidirect |
| 60. C22⋊(C19⋊C8) | D4 | semidirect |
| 166. C4×#99 | 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 |
|---|---|
| #14572664 | 2 |
| #14569519 | 2 |
| #14562150 | 2 |
| #14561488 | 2 |
| C4×C19×#99 | 2 |
| #9185 | 19 |