Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14564578 | C2 | semidirect |
| 5. #14562187 | C2 | semidirect |
| 6. #14561501 | C2 | semidirect |
| 7. C19×#1285 | C2 | semidirect |
| 10. #11926938 | C4 | semidirect |
| 11. #11926904 | C4 | semidirect |
| 56. #10597315 | C2×C4 | semidirect |
| 57. #10597315 | C2×C4 | semidirect |
| 65. C19×#97 | C2×C4 | semidirect |
| 180. #1285 | D19 | semidirect |
| 272. #97 | C4×D19 | semidirect |
| 281. C19 | #9379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574640 | 2 |
| #14566448 | 2 |
| #14564578 | 2 |
| #14562234 | 2 |
| #14562187 | 2 |
| #14561501 | 2 |
| C19×#1285 | 2 |
| #9379 | 19 |