Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×#15668031 | C2 | semidirect |
| 2. C2×M16×D89 | C2 | semidirect |
| 3. #19152108 | C2 | semidirect |
| 4. #19151857 | C2 | semidirect |
| 5. #19151856 | C2 | semidirect |
| 6. #19151848 | C2 | semidirect |
| 7. #19151843 | C2 | semidirect |
| 8. #19151842 | C2 | semidirect |
| 9. #19151633 | C2 | semidirect |
| 10. #19151591 | C2 | semidirect |
| 11. #469×C89 | C2 | semidirect |
| 15. C2×Dic356 | C22 | semidirect |
| 16. C2×#13083562 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667944 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 36. C2×D8×C89 | C22 | semidirect |
| 39. #106×C89 | C22 | semidirect |
| 40. #102×C89 | C22 | semidirect |
| 63. C8×D89 | D4 | semidirect |
| 141. C89 | #3054 | semidirect |
| 148. #469 | D89 | semidirect |
| 158. C2×D8 | C2×D89 | semidirect |
| 177. #106 | C2×D89 | semidirect |
| 181. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668031 | 2 |
| C2×M16×D89 | 2 |
| #19152108 | 2 |
| #19151857 | 2 |
| #19151856 | 2 |
| #19151848 | 2 |
| #19151843 | 2 |
| #19151842 | 2 |
| #19151633 | 2 |
| #19151591 | 2 |
| #469×C89 | 2 |
| #3054 | 89 |