Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
342 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19151882 | C2 | semidirect |
| 3. #19151881 | C2 | semidirect |
| 6. #19151807 | C2 | semidirect |
| 7. #19151806 | C2 | semidirect |
| 100. C89 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| #19151882 | 2 |
| #19151881 | 2 |
| #19151856 | 2 |
| #19151854 | 2 |
| #19151807 | 2 |
| #19151806 | 2 |
| #19151621 | 2 |
| #470×C89 | 2 |
| #3255 | 89 |