Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14574618 | C2 | semidirect |
| 2. #14574088 | C2 | semidirect |
| 3. #14569741 | C2 | semidirect |
| 4. #14562348 | C2 | semidirect |
| 5. #14562234 | C2 | semidirect |
| 6. #14561528 | C2 | semidirect |
| 7. C19×#1505 | C2 | semidirect |
| 38. C19×C4⋊Q8 | D4 | semidirect |
| 39. C19×#127 | D4 | semidirect |
| 74. C4⋊(C19⋊C8) | D4 | semidirect |
| 76. #10597260 | D4 | semidirect |
| 185. #1505 | D19 | semidirect |
| 255. C4⋊Q8 | D76 | semidirect |
| 261. #127 | D76 | semidirect |
| 289. C19 | #10088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574618 | 2 |
| #14574088 | 2 |
| #14569741 | 2 |
| #14562348 | 2 |
| #14562234 | 2 |
| #14561528 | 2 |
| C19×#1505 | 2 |
| #10088 | 19 |