Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #19152078 | C2 | semidirect |
| 3. #19151938 | C2 | semidirect |
| 4. #19151932 | C2 | semidirect |
| 5. #19151920 | C2 | semidirect |
| 6. #19151910 | C2 | semidirect |
| 7. #19151641 | C2 | semidirect |
| 8. C2×#15667946 | C2 | semidirect |
| 9. #19151599 | C2 | semidirect |
| 10. #19151564 | C2 | semidirect |
| 11. #416×C89 | C2 | semidirect |
| 134. C89 | #3098 | semidirect |
| 144. #416 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152176 | 2 |
| #19152078 | 2 |
| #19151938 | 2 |
| #19151932 | 2 |
| #19151920 | 2 |
| #19151910 | 2 |
| #19151641 | 2 |
| C2×#15667946 | 2 |
| #19151599 | 2 |
| #19151564 | 2 |
| #416×C89 | 2 |
| #3098 | 89 |