Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#16813655 | C2 | semidirect |
| 3. #20299174 | C2 | semidirect |
| 4. #20298614 | C2 | semidirect |
| 5. #20298608 | C2 | semidirect |
| 6. #20298571 | C2 | semidirect |
| 7. #344×C113 | C2 | semidirect |
| 137. C113 | #2009 | semidirect |
| 144. #344 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299398 | 2 |
| C2×#16813655 | 2 |
| #20299174 | 2 |
| #20298614 | 2 |
| #20298608 | 2 |
| #20298571 | 2 |
| #344×C113 | 2 |
| #2009 | 113 |