Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 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×#13083573 | C2 | semidirect |
| 3. #19151921 | C2 | semidirect |
| 4. #19151884 | C2 | semidirect |
| 5. #19151878 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151740 | C2 | semidirect |
| 8. #19151710 | C2 | semidirect |
| 9. #19151695 | C2 | semidirect |
| 10. #19151654 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 91. D4×C89 | #41 | semidirect |
| 114. Dic178 | #41 | semidirect |
| 145. C89 | #3115 | semidirect |
| 152. #459 | D89 | semidirect |
| 241. D4 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| C4×#13083573 | 2 |
| #19151921 | 2 |
| #19151884 | 2 |
| #19151878 | 2 |
| #19151795 | 2 |
| #19151740 | 2 |
| #19151710 | 2 |
| #19151695 | 2 |
| #19151654 | 2 |
| #459×C89 | 2 |
| #3115 | 89 |