Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299326 | C2 | semidirect |
| 4. #20298978 | C2 | semidirect |
| 6. #20298808 | C2 | semidirect |
| 7. #20298807 | C2 | semidirect |
| 9. #20298728 | C2 | semidirect |
| 10. #20298704 | C2 | semidirect |
| 120. C113 | #3398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299326 | 2 |
| #20299318 | 2 |
| #20298989 | 2 |
| #20298978 | 2 |
| #20298819 | 2 |
| #20298808 | 2 |
| #20298807 | 2 |
| #20298803 | 2 |
| #20298728 | 2 |
| #20298704 | 2 |
| C4×SD16×C113 | 2 |
| #3398 | 113 |