Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
654 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 654 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. #14574634 | C2 | semidirect |
| 2. #14573730 | C2 | semidirect |
| 4. #14562232 | C2 | semidirect |
| 5. #14562079 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#1986 | C2 | semidirect |
| 39. C19×C4⋊Q8 | D4 | semidirect |
| 40. C19×C4⋊Q8 | D4 | semidirect |
| 81. C4⋊(C19⋊C8) | D4 | semidirect |
| 83. #10597260 | D4 | semidirect |
| 196. #1986 | D19 | semidirect |
| 269. C4⋊Q8 | D76 | semidirect |
| 270. C4⋊Q8 | D76 | semidirect |
| 311. C19 | #10008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574634 | 2 |
| #14573730 | 2 |
| #14568569 | 2 |
| #14562232 | 2 |
| #14562079 | 2 |
| #14561491 | 2 |
| C19×#1986 | 2 |
| #10008 | 19 |