Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19152396 | C2 | semidirect |
| 2. C2×#15668038 | C2 | semidirect |
| 3. #19151615 | C2 | semidirect |
| 4. #19151603 | C2 | semidirect |
| 5. #19151571 | C2 | semidirect |
| 6. #19151368 | C2 | semidirect |
| 7. #535×C89 | C2 | semidirect |
| 35. C2×Dic178 | D4 | semidirect |
| 36. C2×D356 | D4 | semidirect |
| 48. #13083558 | D4 | semidirect |
| 50. C2×#10623494 | D4 | semidirect |
| 143. C89 | #2008 | semidirect |
| 146. #535 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| C2×#15668038 | 2 |
| #19151615 | 2 |
| #19151603 | 2 |
| #19151571 | 2 |
| #19151368 | 2 |
| #535×C89 | 2 |
| #2008 | 89 |