Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
256 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19151753 | C2 | semidirect |
| 3. #19151335 | C2 | semidirect |
| 44. C23×C89 | Q16 | semidirect |
| 88. C89 | #1602 | semidirect |
| 132. C23 | #13083564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151753 | 2 |
| #19151510 | 2 |
| #19151335 | 2 |
| #19151322 | 2 |
| #543×C89 | 2 |
| #1602 | 89 |