Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 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. #20299321 | C2 | semidirect |
| 3. #20299003 | C2 | semidirect |
| 4. #20298932 | C2 | semidirect |
| 5. #20298920 | C2 | semidirect |
| 6. #20298883 | C2 | semidirect |
| 7. #20298878 | C2 | semidirect |
| 8. #20298841 | C2 | semidirect |
| 9. #20298677 | C2 | semidirect |
| 10. #20298637 | C2 | semidirect |
| 11. C4×SD16×C113 | C2 | semidirect |
| 98. C8×C113 | #41 | semidirect |
| 123. C113 | #3353 | semidirect |
| 132. C4×SD16 | D113 | semidirect |
| 222. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299321 | 2 |
| #20299253 | 2 |
| #20299003 | 2 |
| #20298932 | 2 |
| #20298920 | 2 |
| #20298883 | 2 |
| #20298878 | 2 |
| #20298841 | 2 |
| #20298677 | 2 |
| #20298637 | 2 |
| C4×SD16×C113 | 2 |
| #3353 | 113 |