Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14569829 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1297 | C2 | semidirect |
| 176. #1297 | D19 | semidirect |
| 275. C19 | #10384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569829 | 2 |
| #14564471 | 2 |
| #14562165 | 2 |
| #14562150 | 2 |
| #14561542 | 2 |
| #14561488 | 2 |
| C19×#1297 | 2 |
| #10384 | 19 |