Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 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. #19152305 | C2 | semidirect |
| 3. #19151996 | C2 | semidirect |
| 4. #19151929 | C2 | semidirect |
| 5. #19151917 | C2 | semidirect |
| 6. #19151889 | C2 | semidirect |
| 7. #19151884 | C2 | semidirect |
| 8. #19151827 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. C2×#15667944 | C2 | semidirect |
| 11. C8×D4×C89 | C2 | semidirect |
| 76. D4×C89 | SD16 | semidirect |
| 100. C8×C89 | #41 | semidirect |
| 124. C89 | #3335 | semidirect |
| 134. C8×D4 | D89 | semidirect |
| 207. D4 | #13083563 | semidirect |
| 224. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19152252 | 2 |
| #19151996 | 2 |
| #19151929 | 2 |
| #19151917 | 2 |
| #19151889 | 2 |
| #19151884 | 2 |
| #19151827 | 2 |
| C4×#13083563 | 2 |
| C2×#15667944 | 2 |
| C8×D4×C89 | 2 |
| #3335 | 89 |