Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19152076 | C2 | semidirect |
| 4. #19151701 | C2 | semidirect |
| 5. #19151683 | C2 | semidirect |
| 6. #19151634 | C2 | semidirect |
| 8. #19151556 | C2 | semidirect |
| 9. #419×C89 | C2 | semidirect |
| 11. C2×#13083561 | C4 | semidirect |
| 16. Q8×Dic89 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 26. #15667922 | C22 | semidirect |
| 27. C8×Dic89 | C22 | semidirect |
| 31. #103×C89 | C22 | semidirect |
| 38. #13083561 | C2×C4 | semidirect |
| 39. #13083561 | C2×C4 | semidirect |
| 40. C2×#10623494 | C2×C4 | semidirect |
| 54. C2×Q8×C89 | C2×C4 | semidirect |
| 104. C89 | #2949 | semidirect |
| 111. #419 | D89 | semidirect |
| 132. #103 | C2×D89 | semidirect |
| 139. C2×Q8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083561 | 2 |
| #19152076 | 2 |
| #19152072 | 2 |
| #19151701 | 2 |
| #19151683 | 2 |
| #19151634 | 2 |
| #19151604 | 2 |
| #19151556 | 2 |
| #419×C89 | 2 |
| #2949 | 89 |