Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. C4×Dic436 | C2 | semidirect |
| 3. #20294851 | C2 | semidirect |
| 4. #20294829 | C2 | semidirect |
| 6. #20294802 | C2 | semidirect |
| 10. #16812643 | C4 | semidirect |
| 22. Dic436 | C2×C4 | semidirect |
| 27. #13182004 | C2×C4 | semidirect |
| 68. C109 | #2175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812643 | 2 |
| C4×Dic436 | 2 |
| #20294851 | 2 |
| #20294829 | 2 |
| #20294827 | 2 |
| #20294802 | 2 |
| C4×D8×C109 | 2 |
| #2175 | 109 |