Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #20298997 | C2 | semidirect |
| 4. #20298977 | C2 | semidirect |
| 5. #20298967 | C2 | semidirect |
| 8. #20298702 | C2 | semidirect |
| 9. #20298690 | C2 | semidirect |
| 11. #491×C113 | C2 | semidirect |
| 103. C113 | #3177 | semidirect |
| 109. #491 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299211 | 2 |
| #20299209 | 2 |
| #20298997 | 2 |
| #20298977 | 2 |
| #20298967 | 2 |
| #20298855 | 2 |
| #20298838 | 2 |
| #20298702 | 2 |
| #20298690 | 2 |
| #20298555 | 2 |
| #491×C113 | 2 |
| #3177 | 113 |