Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C4⋊Q8×D89 | C2 | semidirect |
| 3. #19151969 | C2 | semidirect |
| 4. #19151947 | C2 | semidirect |
| 5. #19151804 | C2 | semidirect |
| 6. #19151803 | C2 | semidirect |
| 7. #19151800 | C2 | semidirect |
| 8. #19151738 | C2 | semidirect |
| 9. #19151735 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 114. C4×D89 | SD16 | semidirect |
| 149. C89 | #3206 | semidirect |
| 157. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152145 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151969 | 2 |
| #19151947 | 2 |
| #19151804 | 2 |
| #19151803 | 2 |
| #19151800 | 2 |
| #19151738 | 2 |
| #19151735 | 2 |
| #19151650 | 2 |
| #461×C89 | 2 |
| #3206 | 89 |