Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
328 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152155 | C2 | semidirect |
| 2. #19152008 | C2 | semidirect |
| 3. #19152008 | C2 | semidirect |
| 4. #19151957 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151936 | C2 | semidirect |
| 8. #19151905 | C2 | semidirect |
| 9. #19151898 | C2 | semidirect |
| 10. #19151655 | C2 | semidirect |
| 126. C89 | #3240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152008 | 2 |
| #19151957 | 2 |
| #19151936 | 2 |
| #19151919 | 2 |
| #19151905 | 2 |
| #19151898 | 2 |
| #19151655 | 2 |
| #529×C89 | 2 |
| #3240 | 89 |