Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
464 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 3. #14563839 | C2 | semidirect |
| 4. #14563820 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 7. C19×#1297 | C2 | semidirect |
| 24. #11926280 | C4 | semidirect |
| 25. #11926280 | C4 | semidirect |
| 26. #11926277 | C4 | semidirect |
| 27. #11926277 | C4 | semidirect |
| 188. #1297 | D19 | semidirect |
| 293. C19 | #8874 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572685 | 2 |
| #14563935 | 2 |
| #14563839 | 2 |
| #14563820 | 2 |
| #14562124 | 2 |
| #14561483 | 2 |
| C19×#1297 | 2 |
| #8874 | 19 |