Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152006 | C2 | semidirect |
| 4. #19151965 | C2 | semidirect |
| 8. #19151904 | C2 | semidirect |
| 9. #19151903 | C2 | semidirect |
| 122. C89 | #3236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×#15668003 | 2 |
| #19152006 | 2 |
| #19151965 | 2 |
| #19151933 | 2 |
| #19151929 | 2 |
| #19151926 | 2 |
| #19151904 | 2 |
| #19151903 | 2 |
| #19151652 | 2 |
| #484×C89 | 2 |
| #3236 | 89 |