Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. #20298998 | C2 | semidirect |
| 3. #20298976 | C2 | semidirect |
| 4. #20298965 | C2 | semidirect |
| 7. #20298705 | C2 | semidirect |
| 8. #20298704 | C2 | semidirect |
| 9. #20298690 | C2 | semidirect |
| 104. C113 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299208 | 2 |
| #20298998 | 2 |
| #20298976 | 2 |
| #20298965 | 2 |
| #20298856 | 2 |
| #20298837 | 2 |
| #20298705 | 2 |
| #20298704 | 2 |
| #20298690 | 2 |
| #20298556 | 2 |
| #470×C113 | 2 |
| #3177 | 113 |