Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#15668043 | C2 | semidirect |
| 3. #19151977 | C2 | semidirect |
| 4. #19151854 | C2 | semidirect |
| 5. #19151808 | C2 | semidirect |
| 6. #19151800 | C2 | semidirect |
| 7. #19151758 | C2 | semidirect |
| 8. #19151754 | C2 | semidirect |
| 9. C4×#13083561 | C2 | semidirect |
| 10. #19151676 | C2 | semidirect |
| 11. D4×Q8×C89 | C2 | semidirect |
| 53. #13083561 | D4 | semidirect |
| 124. C4×C89 | #137 | semidirect |
| 135. C89 | #3276 | semidirect |
| 137. D4×Q8 | D89 | semidirect |
| 261. C4 | #15668043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| #19152253 | 2 |
| #19151977 | 2 |
| #19151854 | 2 |
| #19151808 | 2 |
| #19151800 | 2 |
| #19151758 | 2 |
| #19151754 | 2 |
| C4×#13083561 | 2 |
| #19151676 | 2 |
| D4×Q8×C89 | 2 |
| #3276 | 89 |