Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20299308 | C2 | semidirect |
| 3. #20298996 | C2 | semidirect |
| 4. #20298927 | C2 | semidirect |
| 5. #20298915 | C2 | semidirect |
| 6. #20298888 | C2 | semidirect |
| 7. #20298883 | C2 | semidirect |
| 8. #20298824 | C2 | semidirect |
| 9. C8×D452 | C2 | semidirect |
| 10. #106×D113 | C2 | semidirect |
| 11. C4×SD16×C113 | C2 | semidirect |
| 91. D452 | SD16 | semidirect |
| 99. C8×C113 | #41 | semidirect |
| 124. C113 | #3335 | semidirect |
| 133. C4×SD16 | D113 | semidirect |
| 224. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299308 | 2 |
| #20299253 | 2 |
| #20298996 | 2 |
| #20298927 | 2 |
| #20298915 | 2 |
| #20298888 | 2 |
| #20298883 | 2 |
| #20298824 | 2 |
| C8×D452 | 2 |
| #106×D113 | 2 |
| C4×SD16×C113 | 2 |
| #3335 | 113 |