Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
458 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 177 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. #19152364 | C2 | semidirect |
| 3. #19151719 | C2 | semidirect |
| 4. #19151714 | C2 | semidirect |
| 5. C2×#15667938 | C2 | semidirect |
| 6. M16×Dic89 | C2 | semidirect |
| 7. #430×C89 | C2 | semidirect |
| 9. #15668045 | C4 | semidirect |
| 10. #15668040 | C4 | semidirect |
| 12. #15668020 | C22 | semidirect |
| 17. #15667938 | C22 | semidirect |
| 18. #15667938 | C22 | semidirect |
| 19. #15667922 | C22 | semidirect |
| 20. C8×Dic89 | C22 | semidirect |
| 23. #108×C89 | C22 | semidirect |
| 33. Dic356 | C2×C4 | semidirect |
| 34. #13083563 | C2×C4 | semidirect |
| 35. D712 | C2×C4 | semidirect |
| 86. C89 | #2956 | semidirect |
| 91. #430 | D89 | semidirect |
| 105. #108 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| #19152364 | 2 |
| #19151719 | 2 |
| #19151714 | 2 |
| C2×#15667938 | 2 |
| M16×Dic89 | 2 |
| #430×C89 | 2 |
| #2956 | 89 |