Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
620 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 620 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. #14566812 | C2 | semidirect |
| 2. #14562349 | C2 | semidirect |
| 3. #14562182 | C2 | semidirect |
| 4. #14561500 | C2 | semidirect |
| 16. C19×#493 | C4 | semidirect |
| 17. C19×#492 | C4 | semidirect |
| 28. C19×C4⋊Q8 | C2×C4 | semidirect |
| 31. C19×#127 | C2×C4 | semidirect |
| 40. C4×C8×C19 | C2×C4 | semidirect |
| 135. #493 | Dic19 | semidirect |
| 136. #492 | Dic19 | semidirect |
| 158. C4⋊Q8 | C2×Dic19 | semidirect |
| 161. #127 | C2×Dic19 | semidirect |
| 173. C4×C8 | C2×Dic19 | semidirect |
| 177. C19 | #9428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566812 | 2 |
| #14562349 | 2 |
| #14562182 | 2 |
| #14561500 | 2 |
| C19×#3151 | 2 |
| #9428 | 19 |