Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20299148 | C2 | semidirect |
| 2. #20298994 | C2 | semidirect |
| 3. #20298974 | C2 | semidirect |
| 4. #20298946 | C2 | semidirect |
| 5. #20298944 | C2 | semidirect |
| 6. #20298849 | C2 | semidirect |
| 7. #20298708 | C2 | semidirect |
| 8. C4×#14268631 | C2 | semidirect |
| 9. #532×C113 | C2 | semidirect |
| 95. #11744751 | #41 | semidirect |
| 121. C113 | #3184 | semidirect |
| 123. #532 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298994 | 2 |
| #20298974 | 2 |
| #20298946 | 2 |
| #20298944 | 2 |
| #20298849 | 2 |
| #20298708 | 2 |
| C4×#14268631 | 2 |
| #532×C113 | 2 |
| #3184 | 113 |