Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20298714 | C2 | semidirect |
| 3. #20298404 | C2 | semidirect |
| 4. C16×Dic113 | C2 | semidirect |
| 5. #368×C113 | C2 | semidirect |
| 8. Dic904 | C4 | semidirect |
| 9. #16813567 | C4 | semidirect |
| 10. D1808 | C4 | semidirect |
| 50. C113 | #2178 | semidirect |
| 53. #368 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299030 | 2 |
| #20298714 | 2 |
| #20298404 | 2 |
| C16×Dic113 | 2 |
| #368×C113 | 2 |
| #2178 | 113 |