Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
524 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19151529 | C2 | semidirect |
| 3. #19151528 | C2 | semidirect |
| 4. #19151518 | C2 | semidirect |
| 5. #19151517 | C2 | semidirect |
| 31. C22×Dic89 | Q8 | semidirect |
| 103. C89 | #2659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| #19151529 | 2 |
| #19151528 | 2 |
| #19151518 | 2 |
| #19151517 | 2 |
| #19151456 | 2 |
| C2×#15667919 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2659 | 89 |