Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
354 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 2. #19152309 | C2 | semidirect |
| 3. #19151941 | C2 | semidirect |
| 4. #19151913 | C2 | semidirect |
| 5. #19151890 | C2 | semidirect |
| 6. #19151885 | C2 | semidirect |
| 7. #19151845 | C2 | semidirect |
| 8. C4×#13083563 | C2 | semidirect |
| 9. #19151677 | C2 | semidirect |
| 10. #19151639 | C2 | semidirect |
| 11. #500×C89 | C2 | semidirect |
| 122. C89 | #3357 | semidirect |
| 125. #500 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152314 | 2 |
| #19152309 | 2 |
| #19151941 | 2 |
| #19151913 | 2 |
| #19151890 | 2 |
| #19151885 | 2 |
| #19151845 | 2 |
| C4×#13083563 | 2 |
| #19151677 | 2 |
| #19151639 | 2 |
| #500×C89 | 2 |
| #3357 | 89 |