Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #20295310 | C2 | semidirect |
| 4. #20295308 | C2 | semidirect |
| 7. #20295237 | C2 | semidirect |
| 8. #20295236 | C2 | semidirect |
| 9. #20295235 | C2 | semidirect |
| 11. #475×C109 | C2 | semidirect |
| 130. C109 | #3255 | semidirect |
| 135. #475 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| #20295580 | 2 |
| #20295310 | 2 |
| #20295308 | 2 |
| #20295285 | 2 |
| #20295283 | 2 |
| #20295237 | 2 |
| #20295236 | 2 |
| #20295235 | 2 |
| #20295048 | 2 |
| #475×C109 | 2 |
| #3255 | 109 |