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. #20295365 | C2 | semidirect |
| 4. #20295321 | C2 | semidirect |
| 5. #20295317 | C2 | semidirect |
| 6. #20295228 | C2 | semidirect |
| 8. #20295133 | C2 | semidirect |
| 9. #20295129 | C2 | semidirect |
| 10. #20295082 | C2 | semidirect |
| 11. #462×C109 | C2 | semidirect |
| 137. C109 | #3116 | semidirect |
| 143. #462 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| C4×#13182030 | 2 |
| #20295365 | 2 |
| #20295321 | 2 |
| #20295317 | 2 |
| #20295228 | 2 |
| #20295187 | 2 |
| #20295133 | 2 |
| #20295129 | 2 |
| #20295082 | 2 |
| #462×C109 | 2 |
| #3116 | 109 |