Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152305 | C2 | semidirect |
| 2. #19152268 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151944 | C2 | semidirect |
| 5. #19151900 | C2 | semidirect |
| 6. #19151889 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151725 | C2 | semidirect |
| 9. #19151710 | C2 | semidirect |
| 10. C4×#13083559 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 82. D4×C89 | #41 | semidirect |
| 130. C89 | #3366 | semidirect |
| 138. #459 | D89 | semidirect |
| 218. D4 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19152268 | 2 |
| #19151961 | 2 |
| #19151944 | 2 |
| #19151900 | 2 |
| #19151889 | 2 |
| #19151791 | 2 |
| #19151725 | 2 |
| #19151710 | 2 |
| C4×#13083559 | 2 |
| #459×C89 | 2 |
| #3366 | 89 |