Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #19152006 | C2 | semidirect |
| 4. #19152005 | C2 | semidirect |
| 5. #19151999 | C2 | semidirect |
| 6. #19151998 | C2 | semidirect |
| 48. #13083558 | Q8 | semidirect |
| 72. M16×C89 | Q8 | semidirect |
| 125. C89 | #3166 | semidirect |
| 176. M16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| C2×#15668003 | 2 |
| #19152006 | 2 |
| #19152005 | 2 |
| #19151999 | 2 |
| #19151998 | 2 |
| #19151641 | 2 |
| #19151640 | 2 |
| #19151638 | 2 |
| M16×Dic89 | 2 |
| #428×C89 | 2 |
| #3166 | 89 |