Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
1504 conjugacy classes of subgroups; only the 1077 normal subgroups are shown.
This group has 1504 conjugacy classes of subgroups — too many to draw. Only its 1077 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×#15668019 | C2 | direct (N × H) |
| 2. C22×#13083558 | C2 | semidirect |
| 3. C23×#10623494 | C2 | semidirect |
| 5. #15668019 | C22 | direct (N × H) |
| 6. C2×#13083558 | C22 | semidirect |
| 9. C22×#10623494 | C22 | semidirect |
| 15. #13083558 | C23 | semidirect |
| 18. C2×#10623494 | C23 | semidirect |
| 41. C22×C89 | #131 | semidirect |
| 48. C2×C89 | C2×#131 | semidirect |
| 51. C89 | C22×#131 | semidirect |
| 92. C22 | #15668019 | direct (N × H) |
| 99. C2 | C2×#15668019 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668019 | 2 |
| C22×#13083558 | 2 |
| C23×#10623494 | 2 |
| C22×#41×C89 | 2 |
| C22×#131 | 89 |