Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
446 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 446 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 |
|---|---|---|
| 11. #11926840 | C4 | semidirect |
| 12. #11926830 | C4 | semidirect |
| 248. C19 | #9178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573442 | 2 |
| #14566602 | 2 |
| #14562198 | 2 |
| #14562135 | 2 |
| #14562029 | 2 |
| #14561536 | 2 |
| C19×#1286 | 2 |
| #9178 | 19 |