Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #19151929 | C2 | semidirect |
| 4. #19151927 | C2 | semidirect |
| 5. #19151926 | C2 | semidirect |
| 6. #19151855 | C2 | semidirect |
| 7. #19151853 | C2 | semidirect |
| 8. #19151754 | C2 | semidirect |
| 9. #19151752 | C2 | semidirect |
| 11. #451×C89 | C2 | semidirect |
| 14. C2×#13083564 | C22 | semidirect |
| 31. #15667944 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667936 | C22 | semidirect |
| 35. #15667936 | C22 | semidirect |
| 39. C2×Q16×C89 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 146. C89 | #3195 | semidirect |
| 156. #451 | D89 | semidirect |
| 162. C2×Q16 | C2×D89 | semidirect |
| 185. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667988 | 2 |
| C22⋊Q8×D89 | 2 |
| #19151929 | 2 |
| #19151927 | 2 |
| #19151926 | 2 |
| #19151855 | 2 |
| #19151853 | 2 |
| #19151754 | 2 |
| #19151752 | 2 |
| #19151560 | 2 |
| #451×C89 | 2 |
| #3195 | 89 |