Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
310 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 66 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. #20299677 | C2 | semidirect |
| 2. #20299597 | C2 | semidirect |
| 3. #20299588 | C2 | semidirect |
| 4. #20299573 | C2 | semidirect |
| 5. #20299481 | C2 | semidirect |
| 6. #20299473 | C2 | semidirect |
| 25. #16813653 | C4 | semidirect |
| 26. #16813650 | C4 | semidirect |
| 28. #16813647 | C4 | semidirect |
| 32. #137×C113 | C4 | semidirect |
| 146. C113 | #1881 | semidirect |
| 158. #137 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299677 | 2 |
| #20299597 | 2 |
| #20299588 | 2 |
| #20299573 | 2 |
| #20299481 | 2 |
| #20299473 | 2 |
| #20299397 | 2 |
| #1881 | 113 |