Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
650 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #14565995 | C2 | semidirect |
| 3. #14562143 | C2 | semidirect |
| 4. #14562079 | C2 | semidirect |
| 5. #14561529 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#1980 | C2 | semidirect |
| 11. #11926831 | C4 | semidirect |
| 12. #11926736 | C4 | semidirect |
| 34. C19×C4⋊Q8 | C2×C4 | semidirect |
| 35. C19×#127 | C2×C4 | semidirect |
| 69. C4⋊(C19⋊C8) | C2×C4 | semidirect |
| 159. D76 | #104 | semidirect |
| 168. #1980 | D19 | semidirect |
| 231. C4⋊Q8 | C4×D19 | semidirect |
| 232. #127 | C4×D19 | semidirect |
| 268. C19 | #9325 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573722 | 2 |
| #14565995 | 2 |
| #14562143 | 2 |
| #14562079 | 2 |
| #14561529 | 2 |
| #14561491 | 2 |
| C19×#1980 | 2 |
| #9325 | 19 |