Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
454 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14562320 | C2 | semidirect |
| 5. C19⋊#1309 | C2 | semidirect |
| 6. #14561525 | C2 | semidirect |
| 7. C19×#1966 | C2 | semidirect |
| 152. Dic38 | #101 | semidirect |
| 161. #1966 | D19 | semidirect |
| 257. C19 | #9358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573444 | 2 |
| #14572765 | 2 |
| #14562320 | 2 |
| #14562075 | 2 |
| C19⋊#1309 | 2 |
| #14561525 | 2 |
| C19×#1966 | 2 |
| #9358 | 19 |