Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
214 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #19151977 | C2 | semidirect |
| 3. #19151890 | C2 | semidirect |
| 4. #19151346 | C2 | semidirect |
| 5. #19151328 | C2 | semidirect |
| 51. D4×C89 | Q16 | semidirect |
| 88. C89 | #1632 | semidirect |
| 142. D4 | #13083564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19151977 | 2 |
| #19151890 | 2 |
| #19151346 | 2 |
| #19151328 | 2 |
| D4⋊#10623494 | 2 |
| #476×C89 | 2 |
| #1632 | 89 |