Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
412 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 412 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 |
|---|---|---|
| 3. #14562424 | C2 | semidirect |
| 4. #14562423 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 7. C19×#1276 | C2 | semidirect |
| 22. #11926292 | C4 | semidirect |
| 23. #11926292 | C4 | semidirect |
| 24. #11926287 | C4 | semidirect |
| 25. #11926287 | C4 | semidirect |
| 146. #1276 | D19 | semidirect |
| 227. C19 | #8935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572701 | 2 |
| #14564463 | 2 |
| #14562424 | 2 |
| #14562423 | 2 |
| #14562295 | 2 |
| #14561468 | 2 |
| C19×#1276 | 2 |
| #8935 | 19 |