Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
534 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 534 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. #14564621 | C2 | semidirect |
| 5. #14561540 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1511 | C2 | semidirect |
| 10. #11926857 | C4 | semidirect |
| 13. #11926683 | C4 | semidirect |
| 31. C22×Q8×C19 | C2×C4 | semidirect |
| 42. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 74. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 193. #1511 | D19 | semidirect |
| 260. C22×Q8 | C4×D19 | semidirect |
| 280. C2×C4⋊C4 | C4×D19 | semidirect |
| 306. C19 | #9341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574437 | 2 |
| #14566794 | 2 |
| #14564621 | 2 |
| #14562152 | 2 |
| #14561540 | 2 |
| #14561487 | 2 |
| C19×#1511 | 2 |
| #9341 | 19 |