Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
536 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #14563673 | C2 | semidirect |
| 2. #14563411 | C2 | semidirect |
| 3. #14562151 | C2 | semidirect |
| 4. #14561995 | C2 | semidirect |
| 15. C22×D8×C19 | C4 | semidirect |
| 22. C2×C19×#107 | C4 | semidirect |
| 23. C2×C19×#102 | C4 | semidirect |
| 169. C22×D8 | Dic19 | semidirect |
| 177. C2×#107 | Dic19 | semidirect |
| 178. C2×#102 | Dic19 | semidirect |
| 228. C19 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563673 | 2 |
| #14563411 | 2 |
| #14562151 | 2 |
| #14561995 | 2 |
| C2×C19×#466 | 2 |
| #9818 | 19 |