Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152323 | C2 | semidirect |
| 3. #19151999 | C2 | semidirect |
| 4. #19151994 | C2 | semidirect |
| 5. #19151904 | C2 | semidirect |
| 7. #19151894 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 45. #13083562 | Q8 | semidirect |
| 115. C89 | #3381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152323 | 2 |
| #19152305 | 2 |
| #19151999 | 2 |
| #19151994 | 2 |
| #19151904 | 2 |
| #19151896 | 2 |
| #19151894 | 2 |
| #19151722 | 2 |
| #19151689 | 2 |
| C4×#13083562 | 2 |
| #474×C89 | 2 |
| #3381 | 89 |