Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1018 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 1018 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 |
|---|---|---|
| 1. #14574392 | C2 | semidirect |
| 2. C2×#11926697 | C2 | semidirect |
| 4. #14564619 | C2 | semidirect |
| 5. #14563565 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C19×#1519 | C2 | semidirect |
| 43. C22×Dic38 | D4 | semidirect |
| 60. C2×C4⋊Dic19 | D4 | semidirect |
| 67. C22×C19⋊C8 | D4 | semidirect |
| 71. C19×C22⋊C8 | D4 | semidirect |
| 139. C22⋊Dic19 | SD16 | semidirect |
| 219. #1519 | D19 | semidirect |
| 334. C22⋊C8 | C22⋊D19 | semidirect |
| 337. C19 | #9954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574392 | 2 |
| C2×#11926697 | 2 |
| #14567273 | 2 |
| #14564619 | 2 |
| #14563565 | 2 |
| #14561481 | 2 |
| C19×#1519 | 2 |
| #9954 | 19 |