Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
574 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 4. #14562082 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#2276 | C2 | semidirect |
| 10. #11926839 | C4 | semidirect |
| 11. #11926744 | C4 | semidirect |
| 122. Q8×C19 | #104 | semidirect |
| 159. #2276 | D19 | semidirect |
| 255. C19 | #9326 | semidirect |
| 306. Q8 | #10597262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573757 | 2 |
| #14564553 | 2 |
| #14562142 | 2 |
| #14562082 | 2 |
| #14561528 | 2 |
| #14561491 | 2 |
| C19×#2276 | 2 |
| #9326 | 19 |