Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. #20298651 | C2 | semidirect |
| 3. #20298331 | C2 | semidirect |
| 4. #382×C113 | C2 | semidirect |
| 6. #16813622 | C4 | semidirect |
| 7. #16813619 | C4 | semidirect |
| 12. C4×D452 | C4 | semidirect |
| 89. C113 | #1517 | semidirect |
| 92. #382 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298651 | 2 |
| #20298331 | 2 |
| #382×C113 | 2 |
| #1517 | 113 |