Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20295330 | C2 | semidirect |
| 3. #20295323 | C2 | semidirect |
| 4. #20295318 | C2 | semidirect |
| 5. #20295303 | C2 | semidirect |
| 6. #20295069 | C2 | semidirect |
| 7. C2×#16812632 | C2 | semidirect |
| 8. #20295053 | C2 | semidirect |
| 11. #544×C109 | C2 | semidirect |
| 42. #13182029 | Q8 | semidirect |
| 124. C109 | #3083 | semidirect |
| 125. #544 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295506 | 2 |
| #20295330 | 2 |
| #20295323 | 2 |
| #20295318 | 2 |
| #20295303 | 2 |
| #20295069 | 2 |
| C2×#16812632 | 2 |
| #20295053 | 2 |
| #20295025 | 2 |
| #20295020 | 2 |
| #544×C109 | 2 |
| #3083 | 109 |