Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152155 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19151992 | C2 | semidirect |
| 5. #19151967 | C2 | semidirect |
| 6. #19151958 | C2 | semidirect |
| 7. #19151839 | C2 | semidirect |
| 9. #19151706 | C2 | semidirect |
| 10. #19151700 | C2 | semidirect |
| 11. C2×#97×C89 | C2 | semidirect |
| 130. C89 | #3181 | semidirect |
| 141. C2×#97 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152132 | 2 |
| #19152007 | 2 |
| #19151992 | 2 |
| #19151967 | 2 |
| #19151958 | 2 |
| #19151839 | 2 |
| #19151827 | 2 |
| #19151706 | 2 |
| #19151700 | 2 |
| C2×#97×C89 | 2 |
| #3181 | 89 |