Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152146 | C2 | semidirect |
| 2. C4×#13083575 | C2 | semidirect |
| 3. #19151921 | C2 | semidirect |
| 4. #19151893 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151790 | C2 | semidirect |
| 7. #19151742 | C2 | semidirect |
| 8. SD16×Dic89 | C2 | semidirect |
| 9. #19151678 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #460×C89 | C2 | semidirect |
| 87. Q8×C89 | #41 | semidirect |
| 106. D356 | #41 | semidirect |
| 145. C89 | #3106 | semidirect |
| 151. #460 | D89 | semidirect |
| 233. Q8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| C4×#13083575 | 2 |
| #19151921 | 2 |
| #19151893 | 2 |
| #19151889 | 2 |
| #19151790 | 2 |
| #19151742 | 2 |
| SD16×Dic89 | 2 |
| #19151678 | 2 |
| #19151650 | 2 |
| #460×C89 | 2 |
| #3106 | 89 |