Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
470 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 470 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 |
|---|---|---|
| 2. #14572295 | C2 | semidirect |
| 3. #14563727 | C2 | semidirect |
| 6. #14561522 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 17. #11926586 | C4 | semidirect |
| 18. #11926586 | C4 | semidirect |
| 20. #11926550 | C4 | semidirect |
| 21. #11926550 | C4 | semidirect |
| 192. #1305 | D19 | semidirect |
| 303. C19 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573576 | 2 |
| #14572295 | 2 |
| #14563727 | 2 |
| #14562202 | 2 |
| #14561996 | 2 |
| #14561522 | 2 |
| C19×#1305 | 2 |
| #9348 | 19 |