Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19152038 | C2 | semidirect |
| 2. #19151856 | C2 | semidirect |
| 3. #19151408 | C2 | semidirect |
| 4. #19151380 | C2 | semidirect |
| 6. C2×Dic356 | C22 | semidirect |
| 10. #15667952 | C22 | semidirect |
| 11. #15667944 | C22 | semidirect |
| 80. C89 | #2191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152038 | 2 |
| #19151856 | 2 |
| #19151408 | 2 |
| #19151380 | 2 |
| #575×C89 | 2 |
| #2191 | 89 |