Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #14564580 | C2 | semidirect |
| 5. #14561499 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#1515 | C2 | semidirect |
| 9. #11926936 | C4 | semidirect |
| 10. #11926906 | C4 | semidirect |
| 34. C19×C4⋊Q8 | C2×C4 | semidirect |
| 35. C19×C4⋊Q8 | C2×C4 | semidirect |
| 75. #10597260 | C2×C4 | semidirect |
| 178. #1515 | D19 | semidirect |
| 241. C4⋊Q8 | C4×D19 | semidirect |
| 242. C4⋊Q8 | C4×D19 | semidirect |
| 281. C19 | #9379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574634 | 2 |
| #14566445 | 2 |
| #14564580 | 2 |
| #14562234 | 2 |
| #14561499 | 2 |
| #14561492 | 2 |
| C19×#1515 | 2 |
| #9379 | 19 |