Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19152305 | C2 | semidirect |
| 2. #19151994 | C2 | semidirect |
| 3. #19151928 | C2 | semidirect |
| 4. #19151914 | C2 | semidirect |
| 5. #19151888 | C2 | semidirect |
| 6. #19151880 | C2 | semidirect |
| 7. #19151825 | C2 | semidirect |
| 8. C4×#13083562 | C2 | semidirect |
| 9. D4×#10623494 | C2 | semidirect |
| 10. C2×#15667943 | C2 | semidirect |
| 80. D4×C89 | SD16 | semidirect |
| 100. #10623494 | #41 | semidirect |
| 124. C89 | #3335 | semidirect |
| 207. D4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19151994 | 2 |
| #19151928 | 2 |
| #19151914 | 2 |
| #19151888 | 2 |
| #19151880 | 2 |
| #19151825 | 2 |
| C4×#13083562 | 2 |
| D4×#10623494 | 2 |
| C2×#15667943 | 2 |
| #547×C89 | 2 |
| #3335 | 89 |