Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
944 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11926683 | C2 | semidirect |
| 3. C2×#11926279 | C2 | semidirect |
| 4. C2×#11926278 | C2 | semidirect |
| 5. #14561906 | C2 | semidirect |
| 6. #14561477 | C2 | semidirect |
| 7. C2×C19×#448 | C2 | semidirect |
| 37. C22×Q8×C19 | D4 | semidirect |
| 72. C19×C22⋊C8 | D4 | semidirect |
| 80. C22⋊(C19⋊C8) | D4 | semidirect |
| 133. C22×Dic19 | SD16 | semidirect |
| 222. C2×#448 | D19 | semidirect |
| 302. C22×Q8 | C22⋊D19 | semidirect |
| 340. C22⋊C8 | C22⋊D19 | semidirect |
| 346. C19 | #9964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926683 | 2 |
| #14569739 | 2 |
| C2×#11926279 | 2 |
| C2×#11926278 | 2 |
| #14561906 | 2 |
| #14561477 | 2 |
| C2×C19×#448 | 2 |
| #9964 | 19 |