Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #19151905 | C2 | semidirect |
| 4. #19151808 | C2 | semidirect |
| 6. #19151703 | C2 | semidirect |
| 7. C4×#13083564 | C2 | semidirect |
| 96. C89 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152210 | 2 |
| #19151939 | 2 |
| #19151905 | 2 |
| #19151808 | 2 |
| #19151754 | 2 |
| #19151703 | 2 |
| C4×#13083564 | 2 |
| #19151659 | 2 |
| #519×C89 | 2 |
| #3127 | 89 |