Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 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. C2×#15668045 | C2 | semidirect |
| 2. #19152257 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151844 | C2 | semidirect |
| 5. #19151821 | C2 | semidirect |
| 6. #19151756 | C2 | semidirect |
| 7. #19151745 | C2 | semidirect |
| 8. C4×Dic356 | C2 | semidirect |
| 9. #436×C89 | C2 | semidirect |
| 50. Dic356 | D4 | semidirect |
| 118. C89 | #3277 | semidirect |
| 127. #436 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| #19152257 | 2 |
| #19151982 | 2 |
| #19151844 | 2 |
| #19151821 | 2 |
| #19151756 | 2 |
| #19151745 | 2 |
| C4×Dic356 | 2 |
| #436×C89 | 2 |
| #3277 | 89 |