Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. #20298934 | C2 | semidirect |
| 3. #20298839 | C2 | semidirect |
| 4. #20298756 | C2 | semidirect |
| 7. C2×Dic452 | C22 | semidirect |
| 15. #16813556 | C22 | semidirect |
| 16. #16813547 | C22 | semidirect |
| 42. C23×C113 | Q16 | semidirect |
| 78. C113 | #3189 | semidirect |
| 120. C23 | Dic452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813601 | 2 |
| #20298934 | 2 |
| #20298839 | 2 |
| #20298756 | 2 |
| C2×C22⋊C8×C113 | 2 |
| #3189 | 113 |