Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152002 | C2 | semidirect |
| 4. #19151947 | C2 | semidirect |
| 8. #19151892 | C2 | semidirect |
| 9. #19151891 | C2 | semidirect |
| 125. C89 | #3230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×#15668011 | 2 |
| #19152002 | 2 |
| #19151947 | 2 |
| #19151934 | 2 |
| #19151933 | 2 |
| #19151931 | 2 |
| #19151892 | 2 |
| #19151891 | 2 |
| #19151648 | 2 |
| #484×C89 | 2 |
| #3230 | 89 |