Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
684 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14574640 | C2 | semidirect |
| 2. #14574009 | C2 | semidirect |
| 4. #14562234 | C2 | semidirect |
| 5. #14562148 | C2 | semidirect |
| 6. #14561527 | C2 | semidirect |
| 7. C19×#1555 | C2 | semidirect |
| 59. #10597315 | D4 | semidirect |
| 60. #10597315 | D4 | semidirect |
| 64. C19×C4⋊C8 | D4 | semidirect |
| 75. #10597260 | D4 | semidirect |
| 175. #1555 | D19 | semidirect |
| 264. C4⋊C8 | C22⋊D19 | semidirect |
| 277. C19 | #10096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574640 | 2 |
| #14574009 | 2 |
| #14569742 | 2 |
| #14562234 | 2 |
| #14562148 | 2 |
| #14561527 | 2 |
| C19×#1555 | 2 |
| #10096 | 19 |