Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 221 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. #19152076 | C2 | semidirect |
| 3. #19151699 | C2 | semidirect |
| 4. SD16×Dic89 | C2 | semidirect |
| 5. #19151636 | C2 | semidirect |
| 6. #19151607 | C2 | semidirect |
| 8. #19151553 | C2 | semidirect |
| 12. Q8×Dic89 | C22 | semidirect |
| 20. #15667946 | C22 | semidirect |
| 21. #15667944 | C22 | semidirect |
| 22. #15667936 | C22 | semidirect |
| 24. #15667922 | C22 | semidirect |
| 25. C8×Dic89 | C22 | semidirect |
| 28. C2×SD16×C89 | C4 | semidirect |
| 50. C2×Q8×C89 | C2×C4 | semidirect |
| 58. SD16×C89 | C2×C4 | semidirect |
| 59. SD16×C89 | C2×C4 | semidirect |
| 60. C2×C8×C89 | C2×C4 | semidirect |
| 104. C89 | #2949 | semidirect |
| 116. C2×SD16 | Dic89 | semidirect |
| 139. C2×Q8 | C2×Dic89 | semidirect |
| 148. SD16 | C2×Dic89 | semidirect |
| 149. SD16 | C2×Dic89 | semidirect |
| 152. C2×C8 | C2×Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152076 | 2 |
| #19152073 | 2 |
| #19151699 | 2 |
| SD16×Dic89 | 2 |
| #19151636 | 2 |
| #19151607 | 2 |
| #19151603 | 2 |
| #19151553 | 2 |
| C22×SD16×C89 | 2 |
| #2949 | 89 |