Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152322 | C2 | semidirect |
| 2. #19152263 | C2 | semidirect |
| 3. #19151959 | C2 | semidirect |
| 4. #19151891 | C2 | semidirect |
| 5. #19151875 | C2 | semidirect |
| 7. #19151800 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151701 | C2 | semidirect |
| 11. #487×C89 | C2 | semidirect |
| 123. C89 | #3367 | semidirect |
| 127. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152322 | 2 |
| #19152263 | 2 |
| #19151959 | 2 |
| #19151891 | 2 |
| #19151875 | 2 |
| #19151816 | 2 |
| #19151800 | 2 |
| #19151728 | 2 |
| #19151701 | 2 |
| C4×D712 | 2 |
| #487×C89 | 2 |
| #3367 | 89 |