Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
206 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 45 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. #20295780 | C2 | semidirect |
| 3. #20295390 | C2 | semidirect |
| 4. #20294768 | C2 | semidirect |
| 5. #20294767 | C2 | semidirect |
| 6. #20294765 | C2 | semidirect |
| 7. #490×C109 | C2 | semidirect |
| 98. C109 | #1657 | semidirect |
| 102. #490 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295780 | 2 |
| #20295413 | 2 |
| #20295390 | 2 |
| #20294768 | 2 |
| #20294767 | 2 |
| #20294765 | 2 |
| #490×C109 | 2 |
| #1657 | 109 |