Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20295581 | C2 | semidirect |
| 3. #20295366 | C2 | semidirect |
| 4. #20295322 | C2 | semidirect |
| 5. #20295316 | C2 | semidirect |
| 6. #20295233 | C2 | semidirect |
| 8. #20295130 | C2 | semidirect |
| 9. #20295127 | C2 | semidirect |
| 10. #20295082 | C2 | semidirect |
| 11. #461×C109 | C2 | semidirect |
| 137. C109 | #3116 | semidirect |
| 144. #461 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| C4×#13182028 | 2 |
| #20295366 | 2 |
| #20295322 | 2 |
| #20295316 | 2 |
| #20295233 | 2 |
| #20295185 | 2 |
| #20295130 | 2 |
| #20295127 | 2 |
| #20295082 | 2 |
| #461×C109 | 2 |
| #3116 | 109 |