Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
372 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 1. #20295750 | C2 | semidirect |
| 2. #20295691 | C2 | semidirect |
| 3. #20295387 | C2 | semidirect |
| 4. #20295319 | C2 | semidirect |
| 5. #20295303 | C2 | semidirect |
| 7. #20295228 | C2 | semidirect |
| 8. #20295156 | C2 | semidirect |
| 9. #20295129 | C2 | semidirect |
| 11. #487×C109 | C2 | semidirect |
| 123. C109 | #3367 | semidirect |
| 127. #487 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295750 | 2 |
| #20295691 | 2 |
| #20295387 | 2 |
| #20295319 | 2 |
| #20295303 | 2 |
| #20295244 | 2 |
| #20295228 | 2 |
| #20295156 | 2 |
| #20295129 | 2 |
| C4×D872 | 2 |
| #487×C109 | 2 |
| #3367 | 109 |