Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #19151638 | C2 | semidirect |
| 5. #19151359 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #428×C89 | C2 | semidirect |
| 20. #15667928 | C4 | semidirect |
| 37. #13083558 | C2×C4 | semidirect |
| 51. M16×C89 | C2×C4 | semidirect |
| 115. C89 | #1856 | semidirect |
| 118. #428 | D89 | semidirect |
| 156. M16 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152072 | 2 |
| #19151638 | 2 |
| C2×#15667928 | 2 |
| #19151499 | 2 |
| #19151359 | 2 |
| #19151357 | 2 |
| #428×C89 | 2 |
| #1856 | 89 |