Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152143 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151834 | C2 | semidirect |
| 6. #19151832 | C2 | semidirect |
| 7. D8×Dic89 | C2 | semidirect |
| 8. #19151680 | C2 | semidirect |
| 9. #19151678 | C2 | semidirect |
| 10. C2×C8×Dic89 | C2 | semidirect |
| 11. #466×C89 | C2 | semidirect |
| 89. C2×Dic89 | D8 | semidirect |
| 99. C8×C89 | #41 | semidirect |
| 101. #10623494 | #41 | semidirect |
| 128. C89 | #3169 | semidirect |
| 135. #466 | D89 | semidirect |
| 229. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| #19152002 | 2 |
| #19151973 | 2 |
| #19151943 | 2 |
| #19151834 | 2 |
| #19151832 | 2 |
| D8×Dic89 | 2 |
| #19151680 | 2 |
| #19151678 | 2 |
| C2×C8×Dic89 | 2 |
| #466×C89 | 2 |
| #3169 | 89 |