Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
430 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20299269 | C2 | semidirect |
| 2. #20299252 | C2 | semidirect |
| 3. #20298945 | C2 | semidirect |
| 4. #20298917 | C2 | semidirect |
| 5. #20298884 | C2 | semidirect |
| 6. #20298851 | C2 | semidirect |
| 7. #20298794 | C2 | semidirect |
| 8. #20298745 | C2 | semidirect |
| 9. C4×#14268636 | C2 | semidirect |
| 10. #20298600 | C2 | semidirect |
| 11. #436×C113 | C2 | semidirect |
| 105. Dic226 | #41 | semidirect |
| 135. C113 | #3332 | semidirect |
| 145. #436 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299269 | 2 |
| #20299252 | 2 |
| #20298945 | 2 |
| #20298917 | 2 |
| #20298884 | 2 |
| #20298851 | 2 |
| #20298794 | 2 |
| #20298745 | 2 |
| C4×#14268636 | 2 |
| #20298600 | 2 |
| #436×C113 | 2 |
| #3332 | 113 |