Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
730 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 730 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14572658 | C2 | semidirect |
| 3. #14563624 | C2 | semidirect |
| 4. #14562303 | C2 | semidirect |
| 5. #14561537 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#1545 | C2 | semidirect |
| 54. C19×C4⋊C8 | D4 | semidirect |
| 63. C4⋊(C19⋊C8) | D4 | semidirect |
| 169. #1545 | D19 | semidirect |
| 253. C4⋊C8 | C22⋊D19 | semidirect |
| 261. C19 | #9397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572658 | 2 |
| #14568582 | 2 |
| #14563624 | 2 |
| #14562303 | 2 |
| #14561537 | 2 |
| #14561536 | 2 |
| C19×#1545 | 2 |
| #9397 | 19 |