Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
384 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 97 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. C4×#10597264 | C2 | semidirect |
| 3. #14562396 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#1285 | C2 | semidirect |
| 9. #11926671 | C4 | semidirect |
| 10. #11926668 | C4 | semidirect |
| 11. #11926621 | C4 | semidirect |
| 13. #11926609 | C4 | semidirect |
| 159. #1285 | D19 | semidirect |
| 251. C19 | #8697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572604 | 2 |
| C4×#10597264 | 2 |
| #14562396 | 2 |
| #14562161 | 2 |
| #14562158 | 2 |
| #14561492 | 2 |
| C19×#1285 | 2 |
| #8697 | 19 |