Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19152148 | C2 | semidirect |
| 2. #19151974 | C2 | semidirect |
| 3. #19151944 | C2 | semidirect |
| 4. #19151790 | C2 | semidirect |
| 5. #19151732 | C2 | semidirect |
| 6. #19151651 | C2 | semidirect |
| 7. C2×#127×C89 | C2 | semidirect |
| 9. C2×#13083559 | C22 | semidirect |
| 10. #15668012 | C22 | semidirect |
| 11. #15668009 | C22 | semidirect |
| 16. C4×D356 | C22 | semidirect |
| 17. C4⋊#10623494 | C22 | semidirect |
| 18. #15667933 | C22 | semidirect |
| 20. C4×#10623494 | C22 | semidirect |
| 73. C2×C4×C89 | D8 | semidirect |
| 113. C89 | #3205 | semidirect |
| 115. C2×#127 | D89 | semidirect |
| 193. C2×C4 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19151974 | 2 |
| #19151944 | 2 |
| #19151790 | 2 |
| #19151732 | 2 |
| #19151651 | 2 |
| C2×#127×C89 | 2 |
| #3205 | 89 |