Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14564609 | C2 | semidirect |
| 5. #14561517 | C2 | semidirect |
| 6. #14561516 | C2 | semidirect |
| 7. C19×#1960 | C2 | semidirect |
| 10. #11926906 | C4 | semidirect |
| 38. C19×C4⋊Q8 | C2×C4 | semidirect |
| 74. #10597260 | C2×C4 | semidirect |
| 186. #1960 | D19 | semidirect |
| 256. C4⋊Q8 | C4×D19 | semidirect |
| 291. C19 | #8999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926906 | 2 |
| #14566806 | 2 |
| #14564609 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1960 | 2 |
| #8999 | 19 |