Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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. #20299030 | C2 | semidirect |
| 2. #20298438 | C2 | semidirect |
| 3. #20298436 | C2 | semidirect |
| 4. #20298435 | C2 | semidirect |
| 5. #20298433 | C2 | semidirect |
| 6. C2×#16813528 | C2 | semidirect |
| 7. #508×C113 | C2 | semidirect |
| 53. C113 | #2262 | semidirect |
| 55. #508 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299030 | 2 |
| #20298438 | 2 |
| #20298436 | 2 |
| #20298435 | 2 |
| #20298433 | 2 |
| C2×#16813528 | 2 |
| #508×C113 | 2 |
| #2262 | 113 |