Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 2. #20295369 | C2 | semidirect |
| 3. #20295363 | C2 | semidirect |
| 4. #20295330 | C2 | semidirect |
| 5. #20295285 | C2 | semidirect |
| 6. C4×Dic436 | C2 | semidirect |
| 8. #20295065 | C2 | semidirect |
| 9. #499×C109 | C2 | semidirect |
| 97. C109 | #3352 | semidirect |
| 99. #499 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295714 | 2 |
| #20295369 | 2 |
| #20295363 | 2 |
| #20295330 | 2 |
| #20295285 | 2 |
| C4×Dic436 | 2 |
| #20295105 | 2 |
| #20295065 | 2 |
| #499×C109 | 2 |
| #3352 | 109 |