Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
352 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152304 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151999 | C2 | semidirect |
| 4. #19151897 | C2 | semidirect |
| 5. #19151895 | C2 | semidirect |
| 6. #19151887 | C2 | semidirect |
| 7. C8×Dic178 | C2 | semidirect |
| 11. #499×C89 | C2 | semidirect |
| 45. D712 | Q8 | semidirect |
| 109. C89 | #3380 | semidirect |
| 113. #499 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152304 | 2 |
| #19152002 | 2 |
| #19151999 | 2 |
| #19151897 | 2 |
| #19151895 | 2 |
| #19151887 | 2 |
| C8×Dic178 | 2 |
| C4×D712 | 2 |
| #19151680 | 2 |
| #499×C89 | 2 |
| #3380 | 89 |