Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
264 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20295052 | C2 | semidirect |
| 3. #20295023 | C2 | semidirect |
| 4. #20295000 | C2 | semidirect |
| 5. #20294999 | C2 | semidirect |
| 6. #20294782 | C2 | semidirect |
| 7. #416×C109 | C2 | semidirect |
| 119. C109 | #2053 | semidirect |
| 123. #416 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295824 | 2 |
| #20295052 | 2 |
| #20295023 | 2 |
| #20295000 | 2 |
| #20294999 | 2 |
| #20294782 | 2 |
| #416×C109 | 2 |
| #2053 | 109 |