Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152162 | C2 | semidirect |
| 2. #19151923 | C2 | semidirect |
| 3. #19151851 | C2 | semidirect |
| 4. #19151834 | C2 | semidirect |
| 5. #19151734 | C2 | semidirect |
| 6. #408×C89 | C2 | semidirect |
| 7. C22×D356 | C22 | semidirect |
| 13. #15667986 | C22 | semidirect |
| 16. #15667971 | C22 | semidirect |
| 17. #15667946 | C22 | semidirect |
| 18. #15667944 | C22 | semidirect |
| 19. #15667934 | C22 | semidirect |
| 20. #15667934 | C22 | semidirect |
| 22. C2×M16×C89 | C22 | semidirect |
| 23. C22×C8×C89 | C22 | semidirect |
| 24. C22⋊C8×C89 | C22 | semidirect |
| 93. C89 | #3199 | semidirect |
| 99. #408 | D89 | semidirect |
| 104. C2×M16 | C2×D89 | semidirect |
| 105. C22×C8 | C2×D89 | semidirect |
| 117. C22⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152162 | 2 |
| #19151923 | 2 |
| #19151851 | 2 |
| #19151834 | 2 |
| #19151734 | 2 |
| #408×C89 | 2 |
| #3199 | 89 |