Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20295023 | C2 | semidirect |
| 3. #20294999 | C2 | semidirect |
| 4. #20294783 | C2 | semidirect |
| 5. #424×C109 | C2 | semidirect |
| 75. C109 | #2053 | semidirect |
| 77. #424 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295826 | 2 |
| #20295023 | 2 |
| #20294999 | 2 |
| #20294783 | 2 |
| #424×C109 | 2 |
| #2053 | 109 |