Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 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. #19152145 | C2 | semidirect |
| 3. #19151879 | C2 | semidirect |
| 4. #19151878 | C2 | semidirect |
| 5. #19151876 | C2 | semidirect |
| 6. #19151833 | C2 | semidirect |
| 7. #19151831 | C2 | semidirect |
| 8. #19151791 | C2 | semidirect |
| 9. #19151790 | C2 | semidirect |
| 10. C4⋊C8×D89 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 115. C4×D89 | D8 | semidirect |
| 151. C89 | #3245 | semidirect |
| 161. #459 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19152145 | 2 |
| #19151879 | 2 |
| #19151878 | 2 |
| #19151876 | 2 |
| #19151833 | 2 |
| #19151831 | 2 |
| #19151791 | 2 |
| #19151790 | 2 |
| C4⋊C8×D89 | 2 |
| #459×C89 | 2 |
| #3245 | 89 |