Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 1. #19152148 | C2 | semidirect |
| 2. #19151911 | C2 | semidirect |
| 3. #19151878 | C2 | semidirect |
| 4. #19151793 | C2 | semidirect |
| 5. #19151732 | C2 | semidirect |
| 6. C4×#13083559 | C2 | semidirect |
| 7. #19151651 | C2 | semidirect |
| 8. C2×C4×D4×C89 | C2 | semidirect |
| 11. #15668012 | C22 | semidirect |
| 12. #15668009 | C22 | semidirect |
| 17. C4×D356 | C22 | semidirect |
| 18. #15667945 | C22 | semidirect |
| 19. C4⋊#10623494 | C22 | semidirect |
| 21. #15667932 | C22 | semidirect |
| 23. C4×#10623494 | C22 | semidirect |
| 73. D4×C89 | #41 | semidirect |
| 80. C2×C4×C89 | D8 | semidirect |
| 121. C89 | #3100 | semidirect |
| 123. C2×C4×D4 | D89 | semidirect |
| 199. D4 | #13083574 | semidirect |
| 208. 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 |
| #19151911 | 2 |
| #19151878 | 2 |
| #19151793 | 2 |
| #19151732 | 2 |
| C4×#13083559 | 2 |
| #19151651 | 2 |
| C2×C4×D4×C89 | 2 |
| #3100 | 89 |