Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
392 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 213 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. #20298659 | C2 | semidirect |
| 2. #20298622 | C2 | semidirect |
| 4. C4×#14268631 | C2 | semidirect |
| 7. C4⋊#11744751 | C22 | semidirect |
| 9. #16813533 | C22 | semidirect |
| 10. C4×#11744751 | C22 | semidirect |
| 66. C113 | #2921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298659 | 2 |
| #20298622 | 2 |
| #20298562 | 2 |
| C4×#14268631 | 2 |
| C2×#117×C113 | 2 |
| #2921 | 113 |