Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 2. #19152078 | C2 | semidirect |
| 3. #19151700 | C2 | semidirect |
| 4. C4×Dic356 | C2 | semidirect |
| 5. C4×D712 | C2 | semidirect |
| 6. C2×#15667946 | C2 | semidirect |
| 7. #19151600 | C2 | semidirect |
| 8. #405×C89 | C2 | semidirect |
| 10. #15668034 | C4 | semidirect |
| 30. #13083574 | C2×C4 | semidirect |
| 37. Dic356 | C2×C4 | semidirect |
| 38. #13083563 | C2×C4 | semidirect |
| 39. D712 | C2×C4 | semidirect |
| 47. C2×C8×C89 | C2×C4 | semidirect |
| 96. C89 | #2951 | semidirect |
| 104. #405 | D89 | semidirect |
| 138. C2×C8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| #19152078 | 2 |
| #19151700 | 2 |
| C4×Dic356 | 2 |
| C4×D712 | 2 |
| C2×#15667946 | 2 |
| #19151600 | 2 |
| #405×C89 | 2 |
| #2951 | 89 |