Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
416 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 10. #11926836 | C4 | semidirect |
| 11. #11926826 | C4 | semidirect |
| 230. C19 | #9308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573436 | 2 |
| #14572718 | 2 |
| #14563651 | 2 |
| #14562199 | 2 |
| #14561532 | 2 |
| #14561494 | 2 |
| C19×#1481 | 2 |
| #9308 | 19 |