Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
346 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152215 | C2 | semidirect |
| 2. #19151886 | C2 | semidirect |
| 3. #19151882 | C2 | semidirect |
| 4. #19151856 | C2 | semidirect |
| 5. #19151825 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151811 | C2 | semidirect |
| 8. #19151626 | C2 | semidirect |
| 104. C89 | #3263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152215 | 2 |
| #19151886 | 2 |
| #19151882 | 2 |
| #19151856 | 2 |
| #19151825 | 2 |
| #19151819 | 2 |
| #19151811 | 2 |
| #19151626 | 2 |
| #469×C89 | 2 |
| #3263 | 89 |