Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 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. #19151905 | C2 | semidirect |
| 3. #19151880 | C2 | semidirect |
| 4. #19151875 | C2 | semidirect |
| 5. #19151837 | C2 | semidirect |
| 7. #19151820 | C2 | semidirect |
| 8. #19151805 | C2 | semidirect |
| 9. #19151800 | C2 | semidirect |
| 10. C2×C4⋊#10623494 | C2 | semidirect |
| 11. #533×C89 | C2 | semidirect |
| 134. C89 | #3248 | semidirect |
| 135. #533 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151905 | 2 |
| #19151880 | 2 |
| #19151875 | 2 |
| #19151837 | 2 |
| #19151829 | 2 |
| #19151820 | 2 |
| #19151805 | 2 |
| #19151800 | 2 |
| C2×C4⋊#10623494 | 2 |
| #533×C89 | 2 |
| #3248 | 89 |