Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
374 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20299318 | C2 | semidirect |
| 3. #20299003 | C2 | semidirect |
| 4. #20298934 | C2 | semidirect |
| 5. #20298923 | C2 | semidirect |
| 6. #20298884 | C2 | semidirect |
| 7. #20298879 | C2 | semidirect |
| 8. #20298844 | C2 | semidirect |
| 9. C4×#14268636 | C2 | semidirect |
| 10. #20298640 | C2 | semidirect |
| 11. #436×C113 | C2 | semidirect |
| 99. C8×C113 | #41 | semidirect |
| 123. C113 | #3353 | semidirect |
| 133. #436 | D113 | semidirect |
| 222. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299318 | 2 |
| #20299252 | 2 |
| #20299003 | 2 |
| #20298934 | 2 |
| #20298923 | 2 |
| #20298884 | 2 |
| #20298879 | 2 |
| #20298844 | 2 |
| C4×#14268636 | 2 |
| #20298640 | 2 |
| #436×C113 | 2 |
| #3353 | 113 |