Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
508 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14568641 | C2 | semidirect |
| 5. #14561515 | C2 | semidirect |
| 6. #14561503 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 30. C22×D76 | Q8 | semidirect |
| 49. C2×C4⋊Dic19 | Q8 | semidirect |
| 192. #1282 | D19 | semidirect |
| 298. C19 | #10374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14568641 | 2 |
| #14564471 | 2 |
| #14562204 | 2 |
| C2×#11926279 | 2 |
| #14561515 | 2 |
| #14561503 | 2 |
| C19×#1282 | 2 |
| #10374 | 19 |