Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
616 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 616 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 |
|---|---|---|
| 2. #14562345 | C2 | semidirect |
| 5. #14562185 | C2 | semidirect |
| 6. #14562107 | C2 | semidirect |
| 7. C19×#1515 | C2 | semidirect |
| 9. Q8×Dic38 | C4 | semidirect |
| 10. #11927273 | C4 | semidirect |
| 13. #11927267 | C4 | semidirect |
| 15. #11927254 | C4 | semidirect |
| 228. #1515 | D19 | semidirect |
| 366. C19 | #8501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578123 | 2 |
| #14562345 | 2 |
| #14562264 | 2 |
| #14562210 | 2 |
| #14562185 | 2 |
| #14562107 | 2 |
| C19×#1515 | 2 |
| #8501 | 19 |