Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
576 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 576 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 |
|---|---|---|
| 2. #14566789 | C2 | semidirect |
| 3. #14562164 | C2 | semidirect |
| 4. #14562150 | C2 | semidirect |
| 5. #14561541 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1964 | C2 | semidirect |
| 9. #11926862 | C4 | semidirect |
| 12. #11926678 | C4 | semidirect |
| 32. C22×D4×C19 | C2×C4 | semidirect |
| 42. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 76. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 206. #1964 | D19 | semidirect |
| 282. C22×D4 | C4×D19 | semidirect |
| 299. C2×C4⋊C4 | C4×D19 | semidirect |
| 327. C19 | #9343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574432 | 2 |
| #14566789 | 2 |
| #14562164 | 2 |
| #14562150 | 2 |
| #14561541 | 2 |
| #14561488 | 2 |
| C19×#1964 | 2 |
| #9343 | 19 |