Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 2. #20298999 | C2 | semidirect |
| 3. #20298938 | C2 | semidirect |
| 4. #20298926 | C2 | semidirect |
| 5. #20298907 | C2 | semidirect |
| 6. #20298836 | C2 | semidirect |
| 7. Q16×Dic113 | C2 | semidirect |
| 9. #20298635 | C2 | semidirect |
| 10. C2×#16813556 | C2 | semidirect |
| 11. #467×C113 | C2 | semidirect |
| 115. C113 | #3336 | semidirect |
| 122. #467 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299290 | 2 |
| #20298999 | 2 |
| #20298938 | 2 |
| #20298926 | 2 |
| #20298907 | 2 |
| #20298836 | 2 |
| Q16×Dic113 | 2 |
| C8×C22⋊D113 | 2 |
| #20298635 | 2 |
| C2×#16813556 | 2 |
| #467×C113 | 2 |
| #3336 | 113 |