Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
354 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 2. #20299308 | C2 | semidirect |
| 3. #20299003 | C2 | semidirect |
| 4. #20298938 | C2 | semidirect |
| 5. #20298910 | C2 | semidirect |
| 6. #20298893 | C2 | semidirect |
| 7. #20298888 | C2 | semidirect |
| 8. #20298841 | C2 | semidirect |
| 9. #20298677 | C2 | semidirect |
| 10. #20298637 | C2 | semidirect |
| 11. C4×SD16×C113 | C2 | semidirect |
| 122. C113 | #3357 | semidirect |
| 131. C4×SD16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299313 | 2 |
| #20299308 | 2 |
| #20299003 | 2 |
| #20298938 | 2 |
| #20298910 | 2 |
| #20298893 | 2 |
| #20298888 | 2 |
| #20298841 | 2 |
| #20298677 | 2 |
| #20298637 | 2 |
| C4×SD16×C113 | 2 |
| #3357 | 113 |