Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19151704 | C2 | semidirect |
| 4. #19151420 | C2 | semidirect |
| 5. #19151415 | C2 | semidirect |
| 6. #19151375 | C2 | semidirect |
| 11. #15667958 | C4 | semidirect |
| 12. #15667956 | C4 | semidirect |
| 65. C89 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152038 | 2 |
| #19151720 | 2 |
| #19151704 | 2 |
| #19151420 | 2 |
| #19151415 | 2 |
| #19151375 | 2 |
| #360×C89 | 2 |
| #2180 | 89 |