Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20299178 | C2 | semidirect |
| 2. #20298932 | C2 | semidirect |
| 3. #20298913 | C2 | semidirect |
| 4. #20298846 | C2 | semidirect |
| 5. #20298834 | C2 | semidirect |
| 6. #20298759 | C2 | semidirect |
| 7. #20298746 | C2 | semidirect |
| 8. #20298564 | C2 | semidirect |
| 9. #467×C113 | C2 | semidirect |
| 120. C113 | #3203 | semidirect |
| 125. #467 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299178 | 2 |
| #20298932 | 2 |
| #20298913 | 2 |
| #20298846 | 2 |
| #20298834 | 2 |
| #20298759 | 2 |
| #20298746 | 2 |
| #20298564 | 2 |
| #467×C113 | 2 |
| #3203 | 113 |