Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152327 | C2 | semidirect |
| 3. #19151998 | C2 | semidirect |
| 4. #19151996 | C2 | semidirect |
| 5. #19151903 | C2 | semidirect |
| 7. #19151893 | C2 | semidirect |
| 9. C8×Dic178 | C2 | semidirect |
| 63. SD16×C89 | Q8 | semidirect |
| 115. C89 | #3381 | semidirect |
| 163. SD16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152327 | 2 |
| #19152305 | 2 |
| #19151998 | 2 |
| #19151996 | 2 |
| #19151903 | 2 |
| #19151900 | 2 |
| #19151893 | 2 |
| #19151878 | 2 |
| C8×Dic178 | 2 |
| SD16×Dic89 | 2 |
| C4×SD16×C89 | 2 |
| #3381 | 89 |