Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
430 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 430 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. #19152270 | C2 | semidirect |
| 2. #19152251 | C2 | semidirect |
| 3. #19151946 | C2 | semidirect |
| 4. #19151918 | C2 | semidirect |
| 5. #19151852 | C2 | semidirect |
| 6. #19151794 | C2 | semidirect |
| 7. #19151746 | C2 | semidirect |
| 8. C4×#13083561 | C2 | semidirect |
| 9. #19151675 | C2 | semidirect |
| 10. #19151598 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 82. Q8×C89 | #41 | semidirect |
| 135. C89 | #3332 | semidirect |
| 140. #475 | D89 | semidirect |
| 217. Q8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152270 | 2 |
| #19152251 | 2 |
| #19151946 | 2 |
| #19151918 | 2 |
| #19151852 | 2 |
| #19151794 | 2 |
| #19151746 | 2 |
| C4×#13083561 | 2 |
| #19151675 | 2 |
| #19151598 | 2 |
| #475×C89 | 2 |
| #3332 | 89 |