Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. #20295458 | C2 | semidirect |
| 2. #20294866 | C2 | semidirect |
| 3. #20294864 | C2 | semidirect |
| 4. #20294863 | C2 | semidirect |
| 5. #20294861 | C2 | semidirect |
| 6. C2×#16812605 | C2 | semidirect |
| 7. #508×C109 | C2 | semidirect |
| 53. C109 | #2262 | semidirect |
| 55. #508 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295458 | 2 |
| #20294866 | 2 |
| #20294864 | 2 |
| #20294863 | 2 |
| #20294861 | 2 |
| C2×#16812605 | 2 |
| #508×C109 | 2 |
| #2262 | 109 |