Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20294933 | C2 | semidirect |
| 3. #20294918 | C2 | semidirect |
| 4. #20294916 | C2 | semidirect |
| 6. C4×#13182006 | C2 | semidirect |
| 7. #20294873 | C2 | semidirect |
| 8. #20294871 | C2 | semidirect |
| 9. #391×C109 | C2 | semidirect |
| 12. #16812688 | C4 | semidirect |
| 46. #13182006 | C2×C4 | semidirect |
| 47. #13182006 | C2×C4 | semidirect |
| 51. C4×Dic109 | C2×C4 | semidirect |
| 54. C2×Q8×C109 | C2×C4 | semidirect |
| 124. C109 | #2372 | semidirect |
| 127. #391 | D109 | semidirect |
| 159. C2×Q8 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812688 | 2 |
| #20294933 | 2 |
| #20294918 | 2 |
| #20294916 | 2 |
| #20294904 | 2 |
| C4×#13182006 | 2 |
| #20294873 | 2 |
| #20294871 | 2 |
| #391×C109 | 2 |
| #2372 | 109 |