Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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. C2×#15668001 | C2 | semidirect |
| 4. #19152066 | C2 | semidirect |
| 5. #19151823 | C2 | semidirect |
| 6. #19151816 | C2 | semidirect |
| 7. #19151621 | C2 | semidirect |
| 8. #19151602 | C2 | semidirect |
| 9. #419×C89 | C2 | semidirect |
| 14. C2×#13083564 | C22 | semidirect |
| 16. C2×#13083561 | C22 | semidirect |
| 22. #15667977 | C22 | semidirect |
| 23. #15667974 | C22 | semidirect |
| 29. #15667941 | C22 | semidirect |
| 34. #103×C89 | C22 | semidirect |
| 126. C89 | #3040 | semidirect |
| 134. #419 | D89 | semidirect |
| 159. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| C2×#15668040 | 2 |
| C2×#15668001 | 2 |
| #19152066 | 2 |
| #19151823 | 2 |
| #19151816 | 2 |
| #19151621 | 2 |
| #19151602 | 2 |
| #419×C89 | 2 |
| #3040 | 89 |