Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152328 | C2 | semidirect |
| 3. #19151956 | C2 | semidirect |
| 4. #19151890 | C2 | semidirect |
| 5. #19151876 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151695 | C2 | semidirect |
| 10. C4×Dic356 | C2 | semidirect |
| 119. C89 | #3375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152328 | 2 |
| #19151956 | 2 |
| #19151890 | 2 |
| #19151876 | 2 |
| #19151819 | 2 |
| #19151795 | 2 |
| #19151728 | 2 |
| #19151695 | 2 |
| C4×Dic356 | 2 |
| #486×C89 | 2 |
| #3375 | 89 |