Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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×#15668009 | C2 | semidirect |
| 2. #19152132 | C2 | semidirect |
| 3. #19151987 | C2 | semidirect |
| 4. #19151963 | C2 | semidirect |
| 5. #19151799 | C2 | semidirect |
| 6. #19151794 | C2 | semidirect |
| 7. #19151751 | C2 | semidirect |
| 8. #19151734 | C2 | semidirect |
| 9. #432×C89 | C2 | semidirect |
| 13. C2×#13083563 | C22 | semidirect |
| 14. C2×D712 | C22 | semidirect |
| 20. #15668004 | C22 | semidirect |
| 21. #15668000 | C22 | semidirect |
| 25. C4×Dic178 | C22 | semidirect |
| 26. C4×D356 | C22 | semidirect |
| 29. #15667934 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 32. C4⋊C8×C89 | C22 | semidirect |
| 34. #97×C89 | C22 | semidirect |
| 128. C89 | #3217 | semidirect |
| 137. #432 | D89 | semidirect |
| 158. C4⋊C8 | C2×D89 | semidirect |
| 162. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668009 | 2 |
| #19152132 | 2 |
| #19151987 | 2 |
| #19151963 | 2 |
| #19151799 | 2 |
| #19151794 | 2 |
| #19151751 | 2 |
| #19151734 | 2 |
| #432×C89 | 2 |
| #3217 | 89 |