Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
336 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20295428 | C2 | semidirect |
| 3. #20295368 | C2 | semidirect |
| 4. #20295362 | C2 | semidirect |
| 5. #20295334 | C2 | semidirect |
| 6. #20295284 | C2 | semidirect |
| 7. C4×Dic436 | C2 | semidirect |
| 8. #20295068 | C2 | semidirect |
| 97. C109 | #3352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295716 | 2 |
| #20295428 | 2 |
| #20295368 | 2 |
| #20295362 | 2 |
| #20295334 | 2 |
| #20295284 | 2 |
| C4×Dic436 | 2 |
| #20295068 | 2 |
| #436×C109 | 2 |
| #3352 | 109 |