Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 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. #19152176 | C2 | semidirect |
| 2. #19151929 | C2 | semidirect |
| 3. #19151917 | C2 | semidirect |
| 4. #19151856 | C2 | semidirect |
| 5. #19151851 | C2 | semidirect |
| 6. #19151827 | C2 | semidirect |
| 7. #19151762 | C2 | semidirect |
| 8. #19151745 | C2 | semidirect |
| 9. #408×C89 | C2 | semidirect |
| 118. C89 | #3204 | semidirect |
| 127. #408 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152176 | 2 |
| #19151929 | 2 |
| #19151917 | 2 |
| #19151856 | 2 |
| #19151851 | 2 |
| #19151827 | 2 |
| #19151762 | 2 |
| #19151745 | 2 |
| #408×C89 | 2 |
| #3204 | 89 |