Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 1. #19152327 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151897 | C2 | semidirect |
| 6. #19151878 | C2 | semidirect |
| 7. #19151798 | C2 | semidirect |
| 8. #19151796 | C2 | semidirect |
| 9. #19151728 | C2 | semidirect |
| 10. #19151701 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 77. Q8×C89 | #41 | semidirect |
| 125. C89 | #3368 | semidirect |
| 136. C4×SD16 | D89 | semidirect |
| 204. Q8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152327 | 2 |
| #19152269 | 2 |
| #19151961 | 2 |
| #19151945 | 2 |
| #19151897 | 2 |
| #19151878 | 2 |
| #19151798 | 2 |
| #19151796 | 2 |
| #19151728 | 2 |
| #19151701 | 2 |
| C4×SD16×C89 | 2 |
| #3368 | 89 |