Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #20299334 | C2 | semidirect |
| 2. #20299305 | C2 | semidirect |
| 3. #20298951 | C2 | semidirect |
| 4. #20298944 | C2 | semidirect |
| 5. #20298896 | C2 | semidirect |
| 6. #20298894 | C2 | semidirect |
| 7. #20298811 | C2 | semidirect |
| 8. #20298722 | C2 | semidirect |
| 9. C4×#14268635 | C2 | semidirect |
| 10. D8×Dic113 | C2 | semidirect |
| 123. C113 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299334 | 2 |
| #20299305 | 2 |
| #20298951 | 2 |
| #20298944 | 2 |
| #20298896 | 2 |
| #20298894 | 2 |
| #20298811 | 2 |
| #20298722 | 2 |
| C4×#14268635 | 2 |
| D8×Dic113 | 2 |
| #459×C113 | 2 |
| #3361 | 113 |