Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
340 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152328 | C2 | semidirect |
| 3. #19152006 | C2 | semidirect |
| 4. #19151904 | C2 | semidirect |
| 5. #19151890 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 11. #500×C89 | C2 | semidirect |
| 47. #13083563 | Q8 | semidirect |
| 116. C89 | #3385 | semidirect |
| 120. #500 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152328 | 2 |
| #19152309 | 2 |
| #19152006 | 2 |
| #19151904 | 2 |
| #19151890 | 2 |
| #19151885 | 2 |
| #19151877 | 2 |
| #19151728 | 2 |
| #19151697 | 2 |
| C4×#13083563 | 2 |
| #500×C89 | 2 |
| #3385 | 89 |