Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19152149 | C2 | semidirect |
| 2. C4×#13083575 | C2 | semidirect |
| 3. #19151924 | C2 | semidirect |
| 4. #19151875 | C2 | semidirect |
| 5. #19151798 | C2 | semidirect |
| 6. #19151794 | C2 | semidirect |
| 7. #19151746 | C2 | semidirect |
| 8. #19151709 | C2 | semidirect |
| 9. #19151701 | C2 | semidirect |
| 10. #19151654 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 88. Q8×C89 | #41 | semidirect |
| 106. D356 | #41 | semidirect |
| 145. C89 | #3115 | semidirect |
| 149. #475 | D89 | semidirect |
| 233. Q8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| C4×#13083575 | 2 |
| #19151924 | 2 |
| #19151875 | 2 |
| #19151798 | 2 |
| #19151794 | 2 |
| #19151746 | 2 |
| #19151709 | 2 |
| #19151701 | 2 |
| #19151654 | 2 |
| #475×C89 | 2 |
| #3115 | 89 |