Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19152072 | C2 | semidirect |
| 3. #19151709 | C2 | semidirect |
| 4. #19151680 | C2 | semidirect |
| 5. #19151602 | C2 | semidirect |
| 6. #19151553 | C2 | semidirect |
| 7. #427×C89 | C2 | semidirect |
| 9. C2×D712 | C4 | semidirect |
| 14. #15667974 | C22 | semidirect |
| 17. #15667932 | C22 | semidirect |
| 18. #15667922 | C22 | semidirect |
| 19. C8×Dic89 | C22 | semidirect |
| 22. #107×C89 | C22 | semidirect |
| 23. #106×C89 | C22 | semidirect |
| 27. C2×D356 | C2×C4 | semidirect |
| 30. D712 | C2×C4 | semidirect |
| 31. D712 | C2×C4 | semidirect |
| 39. C2×C8×C89 | C2×C4 | semidirect |
| 78. C89 | #2948 | semidirect |
| 83. #427 | D89 | semidirect |
| 97. #107 | C2×D89 | semidirect |
| 98. #106 | C2×D89 | semidirect |
| 113. C2×C8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D712 | 2 |
| #19152072 | 2 |
| #19151709 | 2 |
| #19151680 | 2 |
| #19151602 | 2 |
| #19151553 | 2 |
| #427×C89 | 2 |
| #2948 | 89 |