Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
912 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14574573 | C2 | semidirect |
| 3. #14564613 | C2 | semidirect |
| 4. #14562303 | C2 | semidirect |
| 5. #14562302 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#3208 | C2 | semidirect |
| 37. C19×C4⋊Q8 | D4 | semidirect |
| 38. C19×C4⋊Q8 | D4 | semidirect |
| 63. C19×C4⋊C8 | D4 | semidirect |
| 71. C4⋊(C19⋊C8) | D4 | semidirect |
| 122. C4×Dic19 | SD16 | semidirect |
| 172. #3208 | D19 | semidirect |
| 237. C4⋊Q8 | C22⋊D19 | semidirect |
| 238. C4⋊Q8 | C22⋊D19 | semidirect |
| 264. C4⋊C8 | C22⋊D19 | semidirect |
| 271. C19 | #10290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574573 | 2 |
| #14572029 | 2 |
| #14564613 | 2 |
| #14562303 | 2 |
| #14562302 | 2 |
| #14561467 | 2 |
| C19×#3208 | 2 |
| #10290 | 19 |