Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152327 | C2 | semidirect |
| 3. #19151951 | C2 | semidirect |
| 5. #19151900 | C2 | semidirect |
| 6. #19151884 | C2 | semidirect |
| 7. #19151818 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. C4×#13083564 | C2 | semidirect |
| 10. SD16×Dic89 | C2 | semidirect |
| 118. C89 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152327 | 2 |
| #19151951 | 2 |
| #19151944 | 2 |
| #19151900 | 2 |
| #19151884 | 2 |
| #19151818 | 2 |
| #19151722 | 2 |
| C4×#13083564 | 2 |
| SD16×Dic89 | 2 |
| #460×C89 | 2 |
| #3365 | 89 |