Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 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. #19152333 | C2 | semidirect |
| 2. #19152263 | C2 | semidirect |
| 3. #19151959 | C2 | semidirect |
| 4. #19151946 | C2 | semidirect |
| 5. #19151887 | C2 | semidirect |
| 6. #19151816 | C2 | semidirect |
| 8. #19151725 | C2 | semidirect |
| 9. #19151709 | C2 | semidirect |
| 10. C4×#13083561 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 125. C89 | #3373 | semidirect |
| 131. #475 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152333 | 2 |
| #19152263 | 2 |
| #19151959 | 2 |
| #19151946 | 2 |
| #19151887 | 2 |
| #19151816 | 2 |
| #19151794 | 2 |
| #19151725 | 2 |
| #19151709 | 2 |
| C4×#13083561 | 2 |
| #475×C89 | 2 |
| #3373 | 89 |