Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
352 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 352 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. #19152309 | C2 | semidirect |
| 2. #19152305 | C2 | semidirect |
| 3. #19152001 | C2 | semidirect |
| 4. #19151998 | C2 | semidirect |
| 5. #19151900 | C2 | semidirect |
| 6. #19151897 | C2 | semidirect |
| 7. #19151889 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 47. #13083559 | Q8 | semidirect |
| 120. C89 | #3380 | semidirect |
| 128. #476 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| #19152305 | 2 |
| #19152001 | 2 |
| #19151998 | 2 |
| #19151900 | 2 |
| #19151897 | 2 |
| #19151889 | 2 |
| #19151722 | 2 |
| C4×#13083559 | 2 |
| #19151678 | 2 |
| #476×C89 | 2 |
| #3380 | 89 |