Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#15668045 | C2 | semidirect |
| 3. #19152169 | C2 | semidirect |
| 4. #19151783 | C2 | semidirect |
| 5. #19151778 | C2 | semidirect |
| 6. #19151614 | C2 | semidirect |
| 7. #413×C89 | C2 | semidirect |
| 16. C22×Dic178 | C22 | semidirect |
| 18. #15668045 | C22 | semidirect |
| 21. #15668010 | C22 | semidirect |
| 22. #15667999 | C22 | semidirect |
| 25. #15667971 | C22 | semidirect |
| 26. #15667938 | C22 | semidirect |
| 28. C2×M16×C89 | C22 | semidirect |
| 29. #101×C89 | C22 | semidirect |
| 30. #100×C89 | C22 | semidirect |
| 130. C89 | #3022 | semidirect |
| 137. #413 | D89 | semidirect |
| 152. C2×M16 | C2×D89 | semidirect |
| 159. #101 | C2×D89 | semidirect |
| 160. #100 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| C2×#15668045 | 2 |
| #19152169 | 2 |
| #19151783 | 2 |
| #19151778 | 2 |
| #19151614 | 2 |
| #413×C89 | 2 |
| #3022 | 89 |