Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. C2×#15668004 | C2 | semidirect |
| 2. #19151997 | C2 | semidirect |
| 3. #19151952 | C2 | semidirect |
| 4. #19151931 | C2 | semidirect |
| 5. #19151926 | C2 | semidirect |
| 8. #19151905 | C2 | semidirect |
| 9. #19151898 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 126. C89 | #3232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668004 | 2 |
| #19151997 | 2 |
| #19151952 | 2 |
| #19151931 | 2 |
| #19151926 | 2 |
| #19151914 | 2 |
| #19151909 | 2 |
| #19151905 | 2 |
| #19151898 | 2 |
| #19151651 | 2 |
| #529×C89 | 2 |
| #3232 | 89 |