Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 17. #11926586 | C4 | semidirect |
| 18. #11926586 | C4 | semidirect |
| 20. #11926554 | C4 | semidirect |
| 21. #11926554 | C4 | semidirect |
| 292. C19 | #9346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573584 | 2 |
| #14572289 | 2 |
| #14563731 | 2 |
| #14562208 | 2 |
| #14561998 | 2 |
| #14561540 | 2 |
| C19×#1298 | 2 |
| #9346 | 19 |